Eureka Math

Eureka Grade 3 ensures students with the learning targets and success criteria. The Diverse opportunities will develop problem-solving skills among the primary school kids practicing Bigideas Math Grade 3 Solutions. Eureka Textbook Grade 3 answers help Students Master the subject on Consistent practice.

Engage NY Eureka Math 3rd Grade Module 4 Lesson 4 Answer Key

Grade 3 Eureka Math Answer Key is provided by subject experts as per the Common Core curriculum. Grade 3 Eureka Math Solutions provided educates the primary school Kids on all Math concepts of the chapter efficiently. Eureka Math Grade 3 Textbook Answers makes it easy for kids to Grasp the Concepts as well as solve any problem from chapter Tests, Practice Tests, Performance tests, cumulative practice, etc.

Eureka Math Grade 3 Module 4 Lesson 4 Problem Set Answer Key

Question 1.
Use a ruler to measure the side lengths of the rectangle in centimeters. Mark each centimeter with a point and connect the points to show the square units. Then, count the squares you drew to find the total area.

Total area: _____12__sq_units.___________

Answer:
The area of the rectangle = 12 sq units.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 6 and b = 2.
area = 6 x 2.
area = 12.

Question 2.
Use a ruler to measure the side lengths of the rectangle in inches. Mark each inch with a point and connect the points to show the square units. Then, count the squares you drew to find the total area.

Total area: _______12_sq_inches__________

Answer:
The area of the rectangle = 12 sq inches.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 3 and b = 4.
area = 3 x 4.
area = 12.

Question 3.
Mariana uses square centimeter tiles to find the side lengths of the rectangle below. Label each side length. Then, count the tiles to find the total area.

Total area: ___12__sq_cms_____________

Answer:
The area of the rectangle = 12 sq cms.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 4 and b = 3.
area = 4 x 3.
area = 12.

Question 4.
Each is 1 square centimeter. Saffron says that the side length of the rectangle below is 4 centimeters. Kevin says the side length is 5 centimeters. Who is correct? Explain how you know.

Answer:
Kevin says the side length is 5 centimeters.

Explanation:
In the above-given question,
given that,
5 x 4 = 20.
area = 20 cms.
Saffron was wrong.
Kevin says the side length is 5 centimeters.

Question 5.
Use both square centimeter and square inch tiles to find the area of the rectangle below. Which works best? Explain why.

Answer:
The area of the rectangle = 12 sq cms.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 6 and b = 2.
area = 6 x 2.
area = 12.

Answer:
The area of the rectangle = 3 sq inches.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 3 and b = 1.
area = 3 x 1.
area = 3.

Question 6.
How does knowing side lengths A and B help you find side lengths C and D on the rectangle below?

Answer:
The Opposite sides are equal in the rectangle.

Explanation:
In the above-given question,
given that,
the sidelengths AB = CD.
that means opposite sides are equal.

Eureka Math Grade 3 Module 4 Lesson 4 Exit Ticket Answer Key

Label the side lengths of each rectangle. Then, match the rectangle to its total area.

Answer:
The area of the rectangle = 6 sq cm.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 3 and b = 2.
area = 3 x 2.
area = 6.

Answer:
The area of the rectangle = 12 sq cms.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 6 and b = 2.
area = 6 x 2.
area = 12.

Answer:
The area of the rectangle = 5 sq inches.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 5 and b = 1.
area = 5 x 1.
area = 5.

Eureka Math Grade 3 Module 4 Lesson 4 Homework Answer Key

Question 1.
Ella placed square centimeter tiles on the rectangle below, and then labeled the side lengths. What is the area of her rectangle?

Total area: ____8__cm_____________

Answer:
The area of the rectangle = 8 sq cms.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 4 and b = 2.
area = 4 x 2.
area = 8.

Question 2.
Kyle uses square centimeter tiles to find the side lengths of the rectangle below. Label each side length. Then, count the tiles to find the total area.

Total area: ______20 __sq_cms__________

Answer:
The area of the rectangle = 20 sq cms.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 5 and b = 4.
area = 5 x 4.
area = 20.

Question 3.
Maura uses square inch tiles to find the side lengths of the rectangle below. Label each side length. Then, find the total area.

Total area: ______14_sq__inches._________

Answer:
The area of the rectangle = 14 sq inches.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 7 and b = 2.
area = 7 x 2.
area = 14.

Question 4.
Each square unit below is 1 square inch. Claire says that the side length of the rectangle below is 3 inches. Tyler says the side length is 5 inches. Who is correct? Explain how you know.

Total area: ____15_sq_inch_____________

Answer:
Yes, both of them are correct.

Explanation:
In the above-given question,
given that,
Clarie says that the side length of the rectangle below is 3 inches.
Tyler says that the side length is 5 inches.
5 x 3 = 15 inches.
area of the rectangle = 15 sq inches.

Question 5.
Label the unknown side lengths for the rectangle below, and then find the area. Explain how you used the lengths provided to find the unknown lengths and area.

Total area: _____8 _sq_inches.____________

Answer:
The area of the rectangle = 8 sq inches.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 4 and b = 2.
area = 4 x 2.
area = 8.

Grade 3 Eureka Math Answer Key is provided by subject experts as per the Common Core curriculum. Grade 3 Eureka Math Solutions provided educates the primary school Kids on all Math concepts of the chapter efficiently. Eureka Math Grade 3 Textbook Answers makes it easy for kids to Grasp the Concepts as well as solve any problem from chapter Tests, Practice Tests, Performance tests, cumulative practice, etc.

Engage NY Eureka Math 3rd Grade Module 4 Lesson 3 Answer Key

Eureka Grade 3 ensures students with the learning targets and success criteria. The Diverse opportunities will develop problem-solving skills among the primary school kids practicing Bigideas Math Grade 3 Solutions. Eureka Textbook Grade 3 answers help Students Master the subject on Consistent practice.

Eureka Math Grade 3 Module 4 Lesson 3 Problem Set Answer Key

Question 1.
Each is 1 square unit. What is the area of each of the following rectangles?

A: _________6 sq units.____________

B: ________12 sq units.__________

C: ________12 sq units.________

D: _______20 sq units._______

Answer:
The area of shape A = 6 sq units.
the area of shape B = 12 sq units.
the area of shape C = 12 sq units.
the area of shape D = 20 sq units.

Explanation:
In the above-given question,
given that,
the area of shape A = 6 sq units.
area = l x b.
where l = length and b = breadth.
3 x 2 = 6.
the area of shape B = 12 sq units.
area = l x b.
where l = length and b = breadth.
6 x 2 = 12.
the area of shape C = 12 sq units.
area = l x b.
where l = length and b = breadth.
4 x 3 = 12.
the area of shape D = 20 sq units.
area = l x b.
where l = length and b = breadth.
4 x 5 = 20.

Question 2.
Each is 1 square unit. What is the area of each of the following rectangles?
a.
________6 sq unit.________

Answer:
The area of the rectangle = 6 sq unit.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 2 and b = 3.
area = 2 x 3.
area = 6.

b.

______9 sq_units._________

Answer:
The area of the rectangle = 9 sq unit.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 3 and b = 3.
area = 3 x 3.
area = 9.

c.

_______16__sq __units_____

Answer:
The area of the rectangle = 16 sq unit.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 4 and b = 4.
area = 4 x 4.
area = 16.

d.

_______12_________

Answer:
The area of the rectangle = 12 sq unit.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 6 and b = 2.
area = 6 x 2.
area = 12.

Question 3.
a. How would the rectangles in Problem 1 be different if they were composed of square inches?

Answer:
Yes, they are different.

Explanation:
In the above-given question,
given that,
the rectangles in problem 1 are different.
because if it is converted into square inches.
so they are different.

b. Select one rectangle from Problem 1 and recreate it on square inch and square centimeter grid paper.

Answer:
The area of the rectangle = 16 sq unit.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 4 and b = 4.
area = 4 x 4.
area = 16.

Question 4.
Use a separate piece of square centimeter grid paper. Draw four different rectangles that each has an area of 8 square centimeters.

Answer:
The area of the rectangle = 8 sq unit.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 4 and b = 2.
area = 4 x 2.
area = 8.

Eureka Math Grade 3 Module 4 Lesson 3 Exit Ticket Answer Key

Question 1.
Each is 1 square unit. Write the area of Rectangle A. Then, draw a different rectangle with the same area in the space provided.

Answer:
The area of the rectangle = 12 sq unit.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 4 and b = 3.
area = 4 x 3.
area = 12.

Question 2.
Each is 1 square unit. Does this rectangle have the same area as Rectangle A? Explain.

Answer:
No, the rectangle does not have the same area as Rectangle A.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 4 and b = 4.
area = 4 x 4.
area = 16.

Eureka Math Grade 3 Module 4 Lesson 3 Homework Answer Key

Question 1.
Each is 1 square unit. What is the area of each of the following rectangles?

A: ________5__sq__units______

B: _____15 __sq__units_________

C: ____12___sq__units_________

D: ______20_sq_units__________

Answer:
The area of shape A = 5 sq units.
the area of shape B = 15 sq units.
the area of shape C = 12 sq units.
the area of shape D = 20 sq units.

Explanation:
In the above-given question,
given that,
the area of shape A = 5 sq units.
area = l x b.
where l = length and b = breadth.
1 x 5 = 5.
the area of shape B = 15 sq units.
area = l x b.
where l = length and b = breadth.
5 x 3 = 15.
the area of shape C = 12 sq units.
area = l x b.
where l = length and b = breadth.
3 x 4 = 12.
the area of shape D = 20 sq units.
area = l x b.
where l = length and b = breadth.
5 x 4 = 20.

Question 2.
Each  is 1 square unit. What is the area of each of the following rectangles?
a.

______9_sq__units_________

Answer:
The area of the rectangle = 9 sq unit.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 3 and b = 3.
area = 3 x 3.
area = 9.

b.

____9_sq__units___________

Answer:
The area of the rectangle = 9 sq unit.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 3 and b = 3.
area = 3 x 3.
area = 9.

c.

___8_sq_units._____________

Answer:
The area of the rectangle = 8 sq unit.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 2 and b = 4.
area = 2 x 4.
area = 8.

d.

_____18__sq_units__________

Answer:
The area of the rectangle = 18 sq unit.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 6 and b = 3.
area = 6 x 3.
area = 18.

Question 3.
Each is 1 square unit. Write the area of each rectangle. Then, draw a different rectangle with the same area in the space provided.

Answer:
The area of the rectangle A = 10 sq unit.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 5 and b = 2.
area = 5 x 2.
area = 10.

Answer:
The area of the rectangle B = 9 sq unit.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 3 and b = 3.
area = 3 x 3.
area = 9.

Answer:
The area of the rectangle = 12 sq unit.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 3 and b = 4.
area = 3 x 4.
area = 12.

Eureka Math Grade 3 Module 4 Lesson 3 Template 1 Answer Key

______12 cms________
centimeter grid

Answer:
The area of the rectangle = 12 sq unit.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 6 and b = 2.
area = 6 x 2.
area = 12.

Eureka Math Grade 3 Module 4 Lesson 3 Template 2 Answer Key

___12_sq__inch________
inch grid

Answer:
The area of the rectangle = 12 sq inches.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = 6 and b = 2.
area = 6 x 2.
area = 12.

Eureka Grade 3 ensures students with the learning targets and success criteria. The Diverse opportunities will develop problem-solving skills among the primary school kids practicing Eureka Math Grade 3 Solutions. Eureka Textbook Grade 3 answers help Students Master the subject on Consistent practice.

Engage NY Eureka Math 3rd Grade Module 4 Lesson 2 Answer Key

Grade 3 Eureka Math Answer Key is provided by subject experts as per the Common Core curriculum. Grade 3 Eureka Math Solutions provided educates the primary school Kids on all Math concepts of the chapter efficiently. Eureka Math Grade 3 Textbook Answers makes it easy for kids to Grasp the Concepts as well as solve any problem from chapter Tests, Practice Tests, Performance tests, cumulative practice, etc.

Eureka Math Grade 3 Module 4 Lesson 2 Pattern Sheet Answer Key

Multiply

Answer:
4 x 1 = 4, 4 x 2 = 8, 4 x 3 = 12, 4 x 4 = 16, 4 x 5 = 20, 4 x 6 = 24, 4 x 7 = 28, 4 x 8 = 32, 4 x 9 = 36, 4 x 10 = 40, 4 x 6 = 24, 4 x 7 = 28, 4 x 6 = 24, 4 x 8 = 32, 4 x 6 = 24, 4 x 9 = 36, 4 x 6 = 24, 4 x 10 = 40, 4 x 6 = 24, 4 x 7 = 28, 4 x 6 = 24, 4 x 7 = 28, 4 x 8 = 32, 4 x 7 = 28, 4 x 9 = 36, 4 x 7 = 28, 4 x 10 = 40, 4 x 7 = 28, 4 x 8 = 32, 4 x 6 = 24, 4 x 8 = 32, 4 x 7 = 28, 4 x 8 = 32, 4 x 9 = 36, 4 x 8 = 32, 4 x 10 = 40, 4 x 8 = 32, 4 x 9 = 36, 4 x 6 = 24, 4 x 9 = 36, 4 x 7 = 28, 4 x 9 = 36, 4 x 10 = 40, 4 x 6 = 24, 4 x 10 = 40, 4 x 7 = 28, 4 x 10 = 40, 4 x 8 = 32, 4 x 10 = 40, 4 x 9 = 36, 4 x 10 = 40, 4 x 6 = 24, 4 x 8 = 32, 4 x 10 = 40, 4 x 7 = 28, 4 x 9 = 36.

Explanation:
In the above-given question,
given that,
multiply by 4.
4 x 1 = 4, 4 x 2 = 8, 4 x 3 = 12, 4 x 4 = 16, 4 x 5 = 20, 4 x 6 = 24, 4 x 7 = 28, 4 x 8 = 32, 4 x 9 = 36, 4 x 10 = 40, 4 x 6 = 24, 4 x 7 = 28, 4 x 6 = 24, 4 x 8 = 32, 4 x 6 = 24, 4 x 9 = 36, 4 x 6 = 24, 4 x 10 = 40, 4 x 6 = 24, 4 x 7 = 28, 4 x 6 = 24, 4 x 7 = 28, 4 x 8 = 32, 4 x 7 = 28, 4 x 9 = 36, 4 x 7 = 28, 4 x 10 = 40, 4 x 7 = 28, 4 x 8 = 32, 4 x 6 = 24, 4 x 8 = 32, 4 x 7 = 28, 4 x 8 = 32, 4 x 9 = 36, 4 x 8 = 32, 4 x 10 = 40, 4 x 8 = 32, 4 x 9 = 36, 4 x 6 = 24, 4 x 9 = 36, 4 x 7 = 28, 4 x 9 = 36, 4 x 10 = 40, 4 x 6 = 24, 4 x 10 = 40, 4 x 7 = 28, 4 x 10 = 40, 4 x 8 = 32, 4 x 10 = 40, 4 x 9 = 36, 4 x 10 = 40, 4 x 6 = 24, 4 x 8 = 32, 4 x 10 = 40, 4 x 7 = 28, 4 x 9 = 36.

Eureka Math Grade 3 Module 4 Lesson 2 Problem Set Answer Key

Question 1.
Use all of Paper Strip 1, which you cut into 12 square inches, to complete the chart below.

Answer:
The area of Rectangle A = 12.
the area of Rectangle B = 14.
The area of Rectangle C = 16.

Explanation:
In the above-given question,
given that,
the length of the rectangle A = 6.
the breadth of the rectangle A = 2.
Area of the rectangle = l x b.
where l = length, b = bredth.
6 x 2 = 12.
the length of the rectangle B = 7.
the breadth of the rectangle B = 2.
Area = 7 x 2 = 14.
the length of the rectangle C = 8.
the breadth of the rectangle C = 2.
Area = 8 x 2 = 16.

Question 2.
Use all of Paper Strip 2, which you cut into 12 square centimeters, to complete the chart below.

Answer:
The area of the rectangle A = 12 square centimeters.
the area of Rectangle B = 10.
The area of Rectangle C = 16.

Explanation:
In the above-given question,
given that,
the length of the rectangle A = 6.
the breadth of the rectangle A = 2.
Area of the rectangle = l x b.
where l = length, b = bredth.
6 x 2 = 12.
the length of the rectangle B = 5.
the breadth of the rectangle B = 2.
Area = 5 x 2 = 10.
the length of the rectangle C = 8.
the breadth of the rectangle C = 2.
Area = 8 x 2 = 16.

Question 3.
Compare the areas of the rectangles you made with Paper Strip 1 and Paper Strip 2. What changed? Why did it change?

Answer:
The area of Rectangle B is changed.

Explanation:
In the above-given question,
given that,
the area of rectangle B in paper Strip 1 = 14.
7 x 2 = 14.
the area of the rectangle B in paper Strip 2 = 10.
5 x 2 = 10.
so the area of Rectangle B is changed.

Question 4.
Maggie uses square units to create these two rectangles. Do the two rectangles have the same area? How do you know?

Answer:
Yes, the two rectangles have the same area.

Explanation:
In the above-given question,
given that,
Maggie uses square units to create these two rectangles.
the area of the rectangle A = 6.
2 x 3 = 6.
where length = 2, and breadth = 3.
the area of the rectangle B = 6.
3 x 2 = 6.
where l = 3, and b = 2.
so the area of the two rectangles is same.

Question 5.
Count to find the area of the rectangle below. Then, draw a different rectangle that has the same area.

Answer:
The area of the rectangle = 8.

Explanation:
In the above-given figure.
given that,
only the length is given.
8.

Eureka Math Grade 3 Module 4 Lesson 2 Exit Ticket Answer Key

Question 1.
Each is a square unit. Find the area of the rectangle below. Then, draw a different rectangle with the same number of square units.

Answer:
The area of the rectangle = 16.

Explanation:
In the above-given figure.
given that,
l = 8, and b = 2.
8 x 2 = 16.
so the area = 16.

Question 2.
Each creates a rectangle with an area of 6 square inches. Luke makes a rectangle with an area of 6 square centimeters. Do the two rectangles have the same area? Why or why not?

Answer:
No, the two rectangles do not have the same area.

Explanation:
In the above-given question,
given that,
Each creates a rectangle with an area of 6 square inches.
Luke makes a rectangle with an area of 6 square centimeters.
so both of them are not same.

Eureka Math Grade 3 Module 4 Lesson 2 Homework Answer Key

Question 1.
Each is a square unit. Count to find the area of each rectangle. Then, circle all the rectangles with an area of 12 square units.
a.

Area = ____12___ square units

Answer:
The area of the rectangle = 12.

Explanation:
In the above-given figure.
given that,
l = 6, and b = 2.
6 x 2 = 12.
so the area = 12.

b.

Area = ___9____ square units

Answer:
The area of the rectangle = 9.

Explanation:
In the above-given figure.
given that,
l = 3, and b = 3.
3 x 3 = 9.
so the area = 9.

c.

Area = ____12___ square units

Answer:
The area of the rectangle = 12.

Explanation:
In the above-given figure.
given that,
l = 6, and b = 2.
6 x 2 = 12.
so the area = 12.

d.

Area = ___12____ square units

Answer:
The area of the rectangle = 12.

Explanation:
In the above-given figure.
given that,
l = 4, and b = 3.
4 x 3 = 12.
so the area = 12.

e.

Area = ____5___ square units

Answer:
The area of the rectangle = 5.

Explanation:
In the above-given figure.
given that,
l = 5, and b = 1.
5 x 1 = 5.
so the area = 5.

f.

Area = ___8____ square units

Answer:
The area of the rectangle = 8.

Explanation:
In the above-given figure.
given that,
l = 2, and b = 4.
2 x 4 = 8.
so the area = 8.

Question 2.
Colin uses square units to create these rectangles. Do they have the same area? Explain.

Answer:
No, they do not have the same area.

Explanation:
In the above-given question,
given that,
the area of the shape A = 8.
4 x 2 = 8.
the area of the shape B = 6.
6 x 1 = 6.
so they do not have the same area.

Question 3.
Each is a square unit. Count to find the area of the rectangle below. Then, draw a different rectangle that has the same area.

Answer:
The area of the rectangle = 16.

Explanation:
In the above-given figure.
given that,
l = 4, and b = 4.
4 x 4= 16.
so the area = 16.

Grade 3 Eureka Math Answer Key is provided by subject experts as per the Common Core curriculum. Grade 3 Eureka Math Solutions provided educates the primary school Kids on all Math concepts of the chapter efficiently. Eureka Math Grade 3 Textbook Answers makes it easy for kids to Grasp the Concepts as well as solve any problem from chapter Tests, Practice Tests, Performance tests, cumulative practice, etc.

Engage NY Eureka Math 3rd Grade Module 4 Lesson 1 Answer Key

Eureka Grade 3 ensures students with the learning targets and success criteria. The Diverse opportunities will develop problem-solving skills among the primary school kids practicing Bigideas Math Grade 3 Solutions. Eureka Textbook Grade 3 answers help Students Master the subject on Consistent practice.

Eureka Math Grade 3 Module 4 Lesson 1 Problem Set Answer Key

Question 1.
Use triangle pattern blocks to cover each shape below. Draw lines to show where the triangles meet. Then, write how many triangle pattern blocks it takes to cover each shape.

Answer:
The number of triangles in shape A = 2.
the number of triangles in shape B= 6.

Explanation:
In the above-given question,
given that,
In the parallelogram, there are 2 triangles.
in the hexagon, there are 6 triangles.
so the number of triangles in shape A = 2.
so the number of triangles in shape B= 6.

Question 2.
Use rhombus pattern blocks to cover each shape below. Draw lines to show where the rhombuses meet. Then, write how many rhombus pattern blocks it takes to cover each shape

Answer:
The number of rhombuses in shape A = 2.
the number of rhombuses in shape B= 3.

Explanation:
In the above-given question,
given that,
In the parallelogram, there are 2 rhombuses.
in the hexagon, there are 3 rhombuses.
so the number of rhombuses in shape A = 2.
so the number of rhombuses in shape B= 6.

Question 3.
Use trapezoid pattern blocks to cover each shape below. Draw lines to show where the trapezoids meet. Then, write how many trapezoid pattern blocks it requires to cover each shape.

Answer:
The number of trapezoids in shape A = 2.
the number of trapezoids in shape B= 2.

Explanation:
In the above-given question,
given that,
In the parallelogram, there is 2 trapezoid.
in the hexagon, there are 2 trapezoids.
so the number of trapezoids in shape A = 2.
so the number of trapezoids in shape B= 2.

Question 4.
How is the number of pattern blocks needed to cover the same shape related to the size of the pattern blocks?

Answer:
The number of square pattern blocks used to cover the rectangle = 40.

Explanation,
In the above-given question,
given that,
the number of rows in rectangle = 5.
the number of columns in rectangle = 8.
5 x 8 = 40.

Question 5.
Use square pattern blocks to cover the rectangle below. Draw lines to show where the squares meet. Then, write how many square pattern blocks it requires to cover the rectangle.

___40_____ squares

Answer:
The number of square pattern blocks used to cover the rectangle = 40.

Explanation,
In the above-given question,
given that,
the number of rows in rectangle = 5.
the number of columns in rectangle = 8.
5 x 8 = 40.

Question 6.
Use trapezoid pattern blocks to cover the rectangle in Problem 5. Can you use trapezoid pattern blocks to measure the area of this rectangle? Explain your answer.

Answer:
The number of trapezoid pattern blocks used to cover the rectangle = 4.

Explanation,
In the above-given question,
given that,
the number of rows in rectangle = 2.
the number of columns in rectangle = 2.
2 x 2 = 4.

Eureka Math Grade 3 Module 4 Lesson 1 Exit Ticket Answer Key

Each is 1 square unit. Do both rectangles have the same area? Explain how you know.

Answer:
Yes, both have the same area = 12.

Explanation,
In the above-given question,
given that,
the number of rows in rectangle = 4.
the number of columns in rectangle = 3.
4 x 3 = 12.
the number of rows in rectangle = 2.
the number of columns in rectangle = 6.
2 x 6 = 12.
so both have the same area = 12.

Eureka Math Grade 3 Module 4 Lesson 1 Homework Answer Key

Question 1.
Magnus covers the same shape with triangles, rhombuses, and trapezoids.
a. How many triangles will it take to cover the shape?

____12___ triangles

Answer:
The number of triangles will it take to cover the shape = 12.

Explanation,
In the above-given question,
given that,
the number of rows in parallelogram = 2.
the number of columns in parallelogram = 6.
2 x 6 = 12.
so the number of triangles will it take to cover the shape = 12 triangles.

b. How many rhombuses will it take to cover the shape?

____6___ rhombuses

Answer:
The number of rhombuses will it take to cover the shape = 6.

Explanation,
In the above-given question,
given that,
the number of rows in parallelogram = 2.
the number of columns in parallelogram = 3.
2 x 3 = 6.
so the number of rhombuses will it take to cover the shape = 6.

c. Magnus notices that 3 triangles from Part (a) cover 1 trapezoid. How many trapezoids will you need to cover the shape below? Explain your answer.

___4____ trapezoids

Answer:
The number of trapezoids will it take to cover the shape = 4.

Explanation,
In the above-given question,
given that,
the number of rows in parallelogram = 2.
the number of columns in parallelogram = 2.
2 x 2 = 14.
so the number of trapezoids will it take to cover the shape = 4 trapezoids.

Question 2.
Angela uses squares to find the area of a rectangle. Her work is shown below.
a. How many squares did she use to cover the rectangle?

____12___ squares

Answer:
The number of squares to find the rectangle = 12.

Explanation,
In the above-given question,
given that,
the number of rows in rectangle = 4.
the number of columns in rectangle = 3.
4 x 3 = 12.
so the number of squares = 12.

b. What is the area of the rectangle in square units? Explain how you found your answer.

Answer:
The number of squares to find the rectangle = 12.

Explanation,
In the above-given question,
given that,
the number of rows in rectangle = 4.
the number of columns in rectangle = 3.
4 x 3 = 12.
so the number of squares = 12.

Question 3.
Each is 1 square unit. Which rectangle has the largest area? How do you know?

Answer:
Rectangle A has the largest area.

Explanation:
In the above-given question,
given that,
the number of rows in rectangle A = 3.
the number of columns in rectangle A = 6.
3 x 6 = 18.
the number of rows in rectangle B = 4.
the number of rows in rectangle B = 2.
4 x 2 = 8.
the number of rows in rectangle C = 10.
the number of rows in rectangle C = 0.
10.
so rectangle A has the largest area.

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Engage NY Eureka Math 3rd Grade Module 3 Lesson 18 Answer Key

Grade 3 Eureka Math Answer Key is provided by subject experts as per the Common Core curriculum. Grade 3 Eureka Math Solutions provided educates the primary school Kids on all Math concepts of the chapter efficiently. Eureka Math Grade 3 Textbook Answers makes it easy for kids to Grasp the Concepts as well as solve any problem from chapter Tests, Practice Tests, Performance tests, cumulative practice, etc.

Eureka Math Grade 3 Module 3 Lesson 18 Sprint Answer Key

Multiply and Divide with 1 and 0

Answer:
2 x 1 = 2, 3 x 1 = 3, 4 x 1 = 4, 9 x 1 = 9, 8 x 0 = 0, 9 x 0 = 0, 4 x 0 = 0, 5 x 1 = 5, 6 x 1 = 6, 7 x 1 = 7, 3 x 1 = 3, 0 / 1 = 0, 0 / 2 = 0, 0 / 3 = 3, 0 / 6 = 0, 1 x 1 = 1, 4 , 1 = 4, 5 / 1 = 5, 6 / 1 = 6, 5 x 1 = 5, 3 x 0 = 0, 9 / 1 = 9, 8 x 1 = 8, 1 x 1 = 1, 0 / 3 = 0, 7 x 1 = 7, 6 x 0 = 0, 4 x 1 = 4, 0 / 8 = 0, 0 x 0 = 0, 1 / 1 = 1, 24 x 1 = 24, 17 x 0 = 0, 32 x 1 = 32, 0/ 19 = 0, 46 x 0 = 0, 0 / 51 = 0, 64 x 1 = 64, 79 x 1 = 79, 0 / 82 = 0, 96 x 1 = 96, 27 x 1 = 27, 43 x 0 = 0.

Explanation:
In the above-given question,
given that,
multiply and divide with 1 and 0.
2 x 1 = 2, 3 x 1 = 3, 4 x 1 = 4, 9 x 1 = 9, 8 x 0 = 0, 9 x 0 = 0, 4 x 0 = 0, 5 x 1 = 5, 6 x 1 = 6, 7 x 1 = 7, 3 x 1 = 3, 0 / 1 = 0, 0 / 2 = 0, 0 / 3 = 3, 0 / 6 = 0, 1 x 1 = 1, 4 , 1 = 4, 5 / 1 = 5, 6 / 1 = 6, 5 x 1 = 5, 3 x 0 = 0, 9 / 1 = 9, 8 x 1 = 8, 1 x 1 = 1, 0 / 3 = 0, 7 x 1 = 7, 6 x 0 = 0, 4 x 1 = 4, 0 / 8 = 0, 0 x 0 = 0, 1 / 1 = 1, 24 x 1 = 24, 17 x 0 = 0, 32 x 1 = 32, 0/ 19 = 0, 46 x 0 = 0, 0 / 51 = 0, 64 x 1 = 64, 79 x 1 = 79, 0 / 82 = 0, 96 x 1 = 96, 27 x 1 = 27, 43 x 0 = 0.

Answer:
3 x 1 = 3, 4 x 1 = 4, 5 x 1 = 5, 8 x 1 = 8, 7 x 0 = 0, 8 x 0 = 0, 3 x 0 = 0, 4 x 1 = 4, 5 x 1 = 5, 6 x 1 = 6, 2 x 1 = 2, 0 / 2 = 0, 0 / 3 = 0, 0 / 4 = 0, 0 / 7 = 0, 1 x 1 = 1, 3 / 1 = 3, 4 / 1 = 4, 5 / 1 = 5, 7 / 1 = 7, 6 x 1 = 6, 4 x 0 = 0, 8 / 1 = 8, 7 x 1 = 7, 1 x 1 = 1, 0 / 5 = 0, 9 x 1 = 9, 0 / 6 = 0, 1 / 1 = 1, 0 x 0 = 0, 34 x 1 = 34, 16 x 0 = 0, 31 x 1 = 31, 0 / 18 = 0, 45 x 0 = 0, 0 / 52 = 0, 63 x 1 = 63, 78 x 1 = 78, 0 / 81 = 0, 97 x 1 = 97, 26 x 1 = 26, 42 x 0 = 0.

Explanation:
In the above-given question,
given that,
multiply and divide with 1 and 0.
3 x 1 = 3, 4 x 1 = 4, 5 x 1 = 5, 8 x 1 = 8, 7 x 0 = 0, 8 x 0 = 0, 3 x 0 = 0, 4 x 1 = 4, 5 x 1 = 5, 6 x 1 = 6, 2 x 1 = 2, 0 / 2 = 0, 0 / 3 = 0, 0 / 4 = 0, 0 / 7 = 0, 1 x 1 = 1, 3 / 1 = 3, 4 / 1 = 4, 5 / 1 = 5, 7 / 1 = 7, 6 x 1 = 6, 4 x 0 = 0, 8 / 1 = 8, 7 x 1 = 7, 1 x 1 = 1, 0 / 5 = 0, 9 x 1 = 9, 0 / 6 = 0, 1 / 1 = 1, 0 x 0 = 0, 34 x 1 = 34, 16 x 0 = 0, 31 x 1 = 31, 0 / 18 = 0, 45 x 0 = 0, 0 / 52 = 0, 63 x 1 = 63, 78 x 1 = 78, 0 / 81 = 0, 97 x 1 = 97, 26 x 1 = 26, 42 x 0 = 0.

Eureka Math Grade 3 Module 3 Lesson 18 Problem Set Answer Key

Use the RDW process for each problem. Explain why your answer is reasonable.

Question 1.
Rose has 6 pieces of yarn that are each 9 centimeters long. Sasha gives Rose a piece of yarn. Now, Rose has a total of 81 centimeters of yarn. What is the length of the yarn that Sasha gives Rose?

Answer:
The length of the yarn that Sasha gives Rose = 27 centimeters.

Explanation:
In the above-given question,
given that,
Rose has 6 pieces of yarn that are each 9 centimeters long.
Sasha gives Rose a piece of yarn.
Now, Rose has a total of 81 centimeters of yarn.
6 x 9 = 54.
81 – 54 = 27.
so the length of the yarn = 27.

Question 2.
Julio spends 29 minutes doing his spelling homework. He then completes each math problem in 4 minutes. There are 7 math problems. How many minutes does Julio spend on his homework in all?

Answer:
The number of minutes does Julio spends on his homework in all = 57 minutes.

Explanation:
In the above-given question,
given that,
Julio spends 29 minutes doing his spelling homework.
He then completes each math problem in 4 minutes.
there are 7 math problems.
7 x 4 = 28.
28 + 29 = 57.
so the number of minutes Julio spends on his homework in all = 57.

Question 3.
Pearl buys 125 stickers. She gives 53 stickers to her little sister. Pearl then puts 9 stickers on each page of her album. If she uses all of her remaining stickers, on how many pages does Pearl put stickers?

Answer:
The number of pages pearl put stickers = 8 pages.

Explanation:
In the above-given question,
given that,
Pearl buys 125 stickers. She gives 53 stickers to her little sister.
Pearl then puts 9 stickers on each page of her album.
125 – 53 = 72.
72 / 9 = 8.
so the number of pages pearl put stickers = 8.

Question 4.
Tanner’s beaker had 45 milliliters of water in it at first. After each of his friends poured in 8 milliliters, the beaker contained 93 milliliters. How many friends poured water into Tanner’s beaker?

Answer:
The number of friends who poured water into Tanner’s beaker = 8.

Explanation:
In the above-given question,
given that,
Tanner’s beaker had 45 milliliters of water in it at first.
After each of his friends poured in 8 milliliters, the beaker contained 93 milliliters.
93 – 45 = 48.
48 / 8 = 6.
so the number of friends who poured water into Tanner’s beaker = 8.

Question 5.
Cora weighs 4 new, identical pencils and a ruler. The total weight of these items is 55 grams. She weighs the ruler by itself and it weighs 19 grams. How much does each pencil weigh?

Answer:
The weight of each pencil = 9 grams.

Explanation:
In the above-given question,
given that,
Cora weighs 4 new, identical pencils and a ruler.
the total weight of these items is 55 grams.
55 – 19 = 36.
36 / 4 = 9.
so the weight of each pencil = 9 grams.

Eureka Math Grade 3 Module 3 Lesson 18 Exit Ticket Answer Key

Use the RDW process to solve. Explain why your answer is reasonable.

On Saturday, Warren swims laps in the pool for 45 minutes. On Sunday, he runs 8 miles. It takes him 9 minutes to run each mile. How long does Warren spend exercising over the weekend?

Answer:
The Warren spend exercising over the weekend = 117 minutes.

Explanation:
In the above-given question,
given that,
On, Saturday, Warren swims laps in the pool for 45 minutes.
On, Sunday, he runs 8 miles.
It takes him 9 minutes to run each mile.
9 x 8 = 72.
72 + 45 = 117.
so the Warren spend over the weekend = 117 minutes.

Eureka Math Grade 3 Module 3 Lesson 18 Homework Answer Key

Use the RDW process for each problem. Explain why your answer is reasonable.

Question 1.
Mrs. Portillo’s cat weighs 6 kilograms. Her dog weighs 22 kilograms more than her cat. What is the total weight of her cat and dog?

Answer:
The total weight of her cat and dog = 34 kilograms.

Explanation:
In the above-given question,
given that,
Mrs. Portillo’s cat weighs 6 kilograms.
Her dog weighs 22 kilograms more than her cat.
6 + 22 = 28.
28 + 6 = 34.
so the total weight of her cat and dog = 34.

Question 2.
Darren spends 39 minutes studying for his science test. He then does 6 chores. Each chore takes him 3 minutes. How many minutes does Darren spend studying and doing chores?

Answer:
The number of minutes does Darren spends studying and doing chores = 57 minutes.

Explanation:
In the above-given question,
given that,
Darren spends 39 minutes studying for his science test.
He then does 6 chores.
Each chore takes him 3 minutes.
6 x 3 = 18.
18 + 39 = 57.
so the number of minutes = 57.

Question 3.
Mr. Abbot buys 8 boxes of granola bars for a party. Each box has 9 granola bars. After the party, there are 39 bars left. How many bars were eaten during the party?

Answer:
The number of bars was eaten during the party= 33.

Explanation:
In the above-given question,
given that,
Mr. Abbot buys 8 boxes of granola bars for a party.
Each box has 9 granola bars.
After the party, there are 39 bars left.
8 x 9 = 72.
72 – 39 = 33.
so the number of bars was eaten during the party = 33.

Question 4.
Leslie weighs her marbles in a jar, and the scale reads 474 grams. The empty jar weighs 439 grams. Each marble weighs 5 grams. How many marbles are in the jar?

Answer:
The number of marbles in the jar = 35.

Explanation:
In the above-given question,
given that,
Leslie weighs her marbles in a jar and the scale reads 474 grams.
The empty jar weighs 439 grams.
Each marble weighs 5 grams.
474 – 439 = 35.
so the number of marbles in the jar = 35.

Question 5.
Sharon uses 72 centimeters of ribbon to wrap gifts. She uses 24 centimeters of her total ribbon to wrap a big gift. She uses the remaining ribbon for 6 small gifts. How much ribbon will she use for each small gift if she uses the same amount on each?

Answer:
The length of ribbon she uses for each small gift = 8 centimeters.

Explanation:
In the above-given question,
given that,
Sharon uses 72 centimeters of ribbon to wrap gifts.
She uses 24 centimeters of her total ribbon to wrap a big gift.
she uses the remaining ribbon for 6 small gifts.
72 – 24 = 48.
48 / 6 = 8.
so the length of ribbon = 8 centimeters.

Question 6.
Six friends equally share the cost of a gift. They pay $90 and receive $42 in change. How much does each friend pay?

Answer:
Each friend pays = $8.

Explanation:
In the above-given question,
given that,
Six friends equally share the cost of a gift.
They pay $90 and receive $42 in change.
90 – 42 = 48.
48 / 6 = 8
so the esch friend pays = $8.

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Engage NY Eureka Math 3rd Grade Module 3 Lesson 17 Answer Key

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Eureka Math Grade 3 Module 3 Lesson 17 Problem Set Answer Key

Question 1.
Write the products into the squares as fast as you can.

a. Color all the squares with even products orange. Can an even product ever have an odd factor?

Answer:
1 x 1 = 1, 1 x 2 = 2, 1 x 3 = 3, 1 x 4 = 4, 1 x 5 = 5, 1 x 6 = 6, 1 x 7 = 8, 1 x 8 = 8, 2 x 1 = 2, 2 x 2 = 4, 2 x 3 = 6, 2 x 4 = 8, 2 x 5 = 10, 2 x 6 = 12, 2 x 7 = 14, 2 x 8 = 16, 3 x 1 = 3, 3 x 2 = 6, 3 x 3 = 9, 3 x 4 = 12, 3 x 5 = 15, 3 x 6 = 18, 3 x 7 = 21, 3 x 8 = 24, 4 x 1 = 4, 4 x 2 = 8, 4 x 3 = 12, 4 x 4 = 16, 4 x 5 = 20, 4 x 6 = 24, 4 x 7 = 28, 4 x 8 = 32, 5 x 1 = 5, 5 x 2 = 10, 5 x 3 = 15, 5 x 4 = 20, 5 x 5 = 25, 5 x 6 = 30, 5 x 7 = 35, 5 x 8 = 40, 6 x 1 = 6, 6 x 2 = 12, 6 x 3 = 18, 6 x 4 = 24, 6 x 5 = 30, 6 x 6 = 36, 6 x 7 = 42, 6 x 8 = 48, 7 x 1 = 7, 7 x 2 = 14, 7 x 3 = 21, 7 x 4 = 28, 7 x 5 = 35, 7 x 6 = 42, 7 x 7 = 49, 7 x 8 = 56, 8 x 1 = 8, 8 x 2 = 16, 8 x 3 = 24, 8 x 4 = 32, 8 x 5 = 40, 8 x 6 = 48, 8 x 7 = 56, 8 x 8 = 64.

Explanation:
In the above-given question,
given that,
1 x 1 = 1, 1 x 2 = 2, 1 x 3 = 3, 1 x 4 = 4, 1 x 5 = 5, 1 x 6 = 6, 1 x 7 = 8, 1 x 8 = 8, 2 x 1 = 2, 2 x 2 = 4, 2 x 3 = 6, 2 x 4 = 8, 2 x 5 = 10, 2 x 6 = 12, 2 x 7 = 14, 2 x 8 = 16, 3 x 1 = 3, 3 x 2 = 6, 3 x 3 = 9, 3 x 4 = 12, 3 x 5 = 15, 3 x 6 = 18, 3 x 7 = 21, 3 x 8 = 24, 4 x 1 = 4, 4 x 2 = 8, 4 x 3 = 12, 4 x 4 = 16, 4 x 5 = 20, 4 x 6 = 24, 4 x 7 = 28, 4 x 8 = 32, 5 x 1 = 5, 5 x 2 = 10, 5 x 3 = 15, 5 x 4 = 20, 5 x 5 = 25, 5 x 6 = 30, 5 x 7 = 35, 5 x 8 = 40, 6 x 1 = 6, 6 x 2 = 12, 6 x 3 = 18, 6 x 4 = 24, 6 x 5 = 30, 6 x 6 = 36, 6 x 7 = 42, 6 x 8 = 48, 7 x 1 = 7, 7 x 2 = 14, 7 x 3 = 21, 7 x 4 = 28, 7 x 5 = 35, 7 x 6 = 42, 7 x 7 = 49, 7 x 8 = 56, 8 x 1 = 8, 8 x 2 = 16, 8 x 3 = 24, 8 x 4 = 32, 8 x 5 = 40, 8 x 6 = 48, 8 x 7 = 56, 8 x 8 = 64.

b. Can an odd product ever have an even factor?

Answer:
No, an odd product ever has an even factor.

Explanation:
In the above-given question,
given that,
1 x 1 = 1, 1 x 2 = 2, 1 x 3 = 3, 1 x 4 = 4, 1 x 5 = 5, 1 x 6 = 6, 1 x 7 = 8, 1 x 8 = 8, 2 x 1 = 2, 2 x 2 = 4, 2 x 3 = 6, 2 x 4 = 8, 2 x 5 = 10, 2 x 6 = 12, 2 x 7 = 14, 2 x 8 = 16, 3 x 1 = 3, 3 x 2 = 6, 3 x 3 = 9, 3 x 4 = 12, 3 x 5 = 15, 3 x 6 = 18, 3 x 7 = 21, 3 x 8 = 24, 4 x 1 = 4, 4 x 2 = 8, 4 x 3 = 12, 4 x 4 = 16, 4 x 5 = 20, 4 x 6 = 24, 4 x 7 = 28, 4 x 8 = 32, 5 x 1 = 5, 5 x 2 = 10, 5 x 3 = 15, 5 x 4 = 20, 5 x 5 = 25, 5 x 6 = 30, 5 x 7 = 35, 5 x 8 = 40, 6 x 1 = 6, 6 x 2 = 12, 6 x 3 = 18, 6 x 4 = 24, 6 x 5 = 30, 6 x 6 = 36, 6 x 7 = 42, 6 x 8 = 48, 7 x 1 = 7, 7 x 2 = 14, 7 x 3 = 21, 7 x 4 = 28, 7 x 5 = 35, 7 x 6 = 42, 7 x 7 = 49, 7 x 8 = 56, 8 x 1 = 8, 8 x 2 = 16, 8 x 3 = 24, 8 x 4 = 32, 8 x 5 = 40, 8 x 6 = 48, 8 x 7 = 56, 8 x 8 = 64.
No, an odd product ever has an even factor.

c. Everyone knows that 7 × 4 = (5 × 4) + (2 × 4). Explain how this is shown in the table.

Answer:
7 x 4 = 28.
5 x 4 = 20.
2 x 4 = 8.
20 + 8 = 28.

Explanation:
In the above-given question,
given that,
7 x 4 = 28.
5 x 4 = 20.
2 x 4 = 8.
20 + 8 = 28.

d. Use what you know to find the product of 7 × 16 or 8 sevens + 8 sevens.

Answer:
7 x 16 = 112.

Explanation:
In the above-given question,
given that,
7 x 6 = 112.
8 sevens + 8 sevens.
8 x 7 + 8 x 7.
56 + 56.
112.

Question 2.
In the table, only the products on the diagonal are shown.

a. Label each product on the diagonal.

Answer:
1 x 2 = 2, 1 x 3 = 3, 1 x 4 = 4, 1 x 5 = 5, 1 x 6 = 6, 2 x 1 = 2, 2 x 3 = 6, 2 x 4 = 8, 2 x 5 = 10, 2 x 6 = 12, 3 x 1 = 3, 3 x 2 = 6, 3 x 4 = 12, 3 x 5 = 15, 3 x 6 = 18, 4 x 1 = 4, 4 x 2 = 8, 4 x 3 = 12, 4 x 5 = 20, 4 x 6 = 24, 5 x 1 = 5, 5 x 2 = 1, 5 x 3 = 15, 5 x 4 = 20, 5 x 6 = 30, 6 x 1 = 6, 6 x 2 = 12, 6 x 3 = 18, 6 x 4 = 24, 6 x 5 = 30.

Explanation:
In the above-given question,
given that,
1 x 2 = 2, 1 x 3 = 3, 1 x 4 = 4, 1 x 5 = 5, 1 x 6 = 6, 2 x 1 = 2, 2 x 3 = 6, 2 x 4 = 8, 2 x 5 = 10, 2 x 6 = 12, 3 x 1 = 3, 3 x 2 = 6, 3 x 4 = 12, 3 x 5 = 15, 3 x 6 = 18, 4 x 1 = 4, 4 x 2 = 8, 4 x 3 = 12, 4 x 5 = 20, 4 x 6 = 24, 5 x 1 = 5, 5 x 2 = 1, 5 x 3 = 15, 5 x 4 = 20, 5 x 6 = 30, 6 x 1 = 6, 6 x 2 = 12, 6 x 3 = 18, 6 x 4 = 24, 6 x 5 = 30.

b. Draw an array to match each expression in the table below. Then, label the number of squares you added to make each new array. The first two arrays have been done for you.

Answer:
1 + 2 = 3.
3 + 6 = 9.
6 + 10 = 16.
10 + 15 = 25.
15 + 21 = 36.

Explanation:
In the above-given question,
given that,
1 + 2 = 3.
3 + 6 = 9.
6 + 10 = 16.
10 + 15 = 25.
15 + 21 = 36.

c. What pattern do you notice in the number of squares that are added to each new array?

Answer:
1 + 3 = 4.
4 + 6 = 9.
6 + 10 = 16.
10 + 15 = 25.
15 + 21 = 36.

Explanation:
In the above-given question,
given that,
1 + 3 = 4.
4 + 6 = 9.
6 + 10 = 16.
10 + 15 = 25.
15 + 21 = 36.

d. Use the pattern you discovered in Part (b) to prove this: 9 × 9 is the sum of the first 9 odd numbers.

Answer:
9 x 9 = 81.

Explanation:
In the above-given question,
given that,
9 x 9 = 81.
the sum of the first 9 odd numbers is 81.
9 x 9 = 81.

Eureka Math Grade 3 Module 3 Lesson 17 Exit Ticket Answer Key

Question 1.
Use what you know to find the product of 8 × 12 or 6 eights + 6 eights.

Answer:
8 x 12 = 96.

Explanation:
In the above-given question,
given that,
8 x 12 = 96.
6 eights + 6 eights.
6 x 8 + 6 x 8.
48 + 48.
96.

Question 2.
Luis says 3 × 233 = 626. Use what you learned about odd times odd to explain why Luis is wrong.

Answer:
3 x 233 = 626.

Explanation:
In the above-given question,
given that,
3 x 233 = 626.
odd x odd = odd.
but in the given question,
Luis is wrong.
3 x 233 = 626.
625 + 1.

Eureka Math Grade 3 Module 3 Lesson 17 Homework Answer Key

Question 1.
a. Write the products into the chart as fast as you can.

Answer:
1 x 1 = 1, 1 x 2 = 2, 1 x 3 = 3, 1 x 4 = 4, 1 x 5 = 5, 1 x 6 = 6, 1 x 7 = 8, 1 x 8 = 8, 2 x 1 = 2, 2 x 2 = 4, 2 x 3 = 6, 2 x 4 = 8, 2 x 5 = 10, 2 x 6 = 12, 2 x 7 = 14, 2 x 8 = 16, 3 x 1 = 3, 3 x 2 = 6, 3 x 3 = 9, 3 x 4 = 12, 3 x 5 = 15, 3 x 6 = 18, 3 x 7 = 21, 3 x 8 = 24, 4 x 1 = 4, 4 x 2 = 8, 4 x 3 = 12, 4 x 4 = 16, 4 x 5 = 20, 4 x 6 = 24, 4 x 7 = 28, 4 x 8 = 32, 5 x 1 = 5, 5 x 2 = 10, 5 x 3 = 15, 5 x 4 = 20, 5 x 5 = 25, 5 x 6 = 30, 5 x 7 = 35, 5 x 8 = 40, 6 x 1 = 6, 6 x 2 = 12, 6 x 3 = 18, 6 x 4 = 24, 6 x 5 = 30, 6 x 6 = 36, 6 x 7 = 42, 6 x 8 = 48, 7 x 1 = 7, 7 x 2 = 14, 7 x 3 = 21, 7 x 4 = 28, 7 x 5 = 35, 7 x 6 = 42, 7 x 7 = 49, 7 x 8 = 56, 8 x 1 = 8, 8 x 2 = 16, 8 x 3 = 24, 8 x 4 = 32, 8 x 5 = 40, 8 x 6 = 48, 8 x 7 = 56, 8 x 8 = 64.

Explanation:
In the above-given question,
given that,
1 x 1 = 1, 1 x 2 = 2, 1 x 3 = 3, 1 x 4 = 4, 1 x 5 = 5, 1 x 6 = 6, 1 x 7 = 8, 1 x 8 = 8, 2 x 1 = 2, 2 x 2 = 4, 2 x 3 = 6, 2 x 4 = 8, 2 x 5 = 10, 2 x 6 = 12, 2 x 7 = 14, 2 x 8 = 16, 3 x 1 = 3, 3 x 2 = 6, 3 x 3 = 9, 3 x 4 = 12, 3 x 5 = 15, 3 x 6 = 18, 3 x 7 = 21, 3 x 8 = 24, 4 x 1 = 4, 4 x 2 = 8, 4 x 3 = 12, 4 x 4 = 16, 4 x 5 = 20, 4 x 6 = 24, 4 x 7 = 28, 4 x 8 = 32, 5 x 1 = 5, 5 x 2 = 10, 5 x 3 = 15, 5 x 4 = 20, 5 x 5 = 25, 5 x 6 = 30, 5 x 7 = 35, 5 x 8 = 40, 6 x 1 = 6, 6 x 2 = 12, 6 x 3 = 18, 6 x 4 = 24, 6 x 5 = 30, 6 x 6 = 36, 6 x 7 = 42, 6 x 8 = 48, 7 x 1 = 7, 7 x 2 = 14, 7 x 3 = 21, 7 x 4 = 28, 7 x 5 = 35, 7 x 6 = 42, 7 x 7 = 49, 7 x 8 = 56, 8 x 1 = 8, 8 x 2 = 16, 8 x 3 = 24, 8 x 4 = 32, 8 x 5 = 40, 8 x 6 = 48, 8 x 7 = 56, 8 x 8 = 64.

b. Color the rows and columns with even factors yellow.

Answer:
The even factors are color with yellow.

Explanation:
In the above-given question,
given that,
so the even factors are color with yellow.

c. What do you notice about the factors and products that are left unshaded

Answer:
The factors that are left unshaded is odd numbers.

Explanation:
In the above-given question,
given that,
the factors that are left unshaded is odd.
the factors that are in diagonals is even.

d. Complete the chart by filling in each blank and writing an example for each rule.

Answer:
odd times odd equals = odd.
even times even equals = even.
even times odd equals = even.

Explanation:
In the above-given question,
given that,
odd times odd equals = odd.
even times even equals = even.
even times odd equals = even.
9 x 9 = 81.
2 x 2 = 4.
4 x 3 = 12.

e. Explain how 7 × 6 = (5 × 6) + (2 × 6) is shown in the table

Answer:
7 x 6 = 42.

Explanation:
In the above-given question,
given that,
7 x 6 = 42.
5 x 6 = 30.
2 x 6 = 12.
( 5 x 6 ) + (2 x 6 ).
30 + 12 = 42.

f. Use what you know to find the product of 4 × 16 or 8 fours + 8 fours.

Answer:
4 x 16 = 64.

Explanation:
In the above-given question,
given that,
4 x 16 = 64.
8 fours + 8 fours.
8 x 4 + 8 x 4.
32 + 32.
64.

Question 2.
Today in class, we found that n × n is the sum of the first n odd numbers. Use this pattern to find the value of n for each equation below. The first is done for you.
a. 1 + 3 + 5 = n × n

9 = 3 × 3

b. 1 + 3 + 5 + 7 = n × n

Answer:
16 = 4 x 4.

Explanation:
In the above-given question,
given that,
16 = 4 x 4.
1 + 3 + 5 + 7 = n x n.
n = 4.
4 x 4 = 16.
1 + 3 + 5 + 7 = 16.

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Engage NY Eureka Math 3rd Grade Module 3 End of Module Assessment Answer Key

Grade 3 Eureka Math Answer Key is provided by subject experts as per the Common Core curriculum. Grade 3 Eureka Math Solutions provided educates the primary school Kids on all Math concepts of the chapter efficiently. Eureka Math Grade 3 Textbook Answers makes it easy for kids to Grasp the Concepts as well as solve any problem from chapter Tests, Practice Tests, Performance tests, cumulative practice, etc.

Eureka Math Grade 3 Module 3 End of Module Assessment Answer Key

Question 1.
Aunt Korina and her 3 friends decide to share a cab to go to the mall. If they each spent $6, how much did the cab ride cost altogether? Write an equation using a letter to represent the unknown. Solve.

Answer:
The amount the cab ride costs altogether = $24.

Explanation:
In the above-given question,
given that,
Aunt Korina and her 3 friends decide to share a cab to go to the mall.
If they each spent $6.
3 + 1 = 4.
$6 x c = 4.
c = 4 x 6.
c = 24.
so the amount of cab ride costs altogether = $24.

Question 2.
Aunt Korina’s 3 friends each order pasta and a lemonade for lunch. Aunt Korina orders only chicken salad.

a. Use the menu to find how much they spend altogether. Write equations using letters to represent the unknown. Solve.

Answer:
The amount they spend altogether =$36.

Explanation:
In the above-given question,
given that,
Aunt Korina’s friends each ordered pasta and lemonade for lunch.
pasta = $7.
Chicken Salad = $9.
Lemonade = $2.
7 x 3 = 21.
2 x 3 = 6.
21 + 6 = 27.
27 – c = 9.
c = 27 + 9 = 36.
so the amount they spend altogether = $36.

b. Aunt Korina mentally checks the total using 4 × $9. Explain her strategy.

Answer:
4 x $9 = 36.

Explanation:
In the above-given question,
given that,
Aunt Korina mentally checks the total using 4 x $9.
27 + 9 = 36.
7 x 3 = 21.
2 x 3 = 6.
21 + 6 = 27.
4 x $9 = 36.

Question 3.
After lunch, the friends notice a sale. Compare the crossed out prices to the new sale prices. If all sale prices are calculated in the same way, what would the sale price be on an item that originally cost $24? Use words and equations to explain how you know.

Answer:
The sale price is on an item that originally cost $24 = $8.

Explanation:
In the above-given question,
given that,
After lunch, the friends notice a sale.
they had given a discount of 4%.
4 x 3 = 12.
7 x 3 = 21.
9 x 3 = 27.
1 x 3 = 3.
8 x 3 = 24.
so the sale price is on an item that originally cost $24 = $8.

Question 4.
a. A shopkeeper in the bookstore arranges the boxed sets of books as shown to the right.
If each box contains 9 books, how many books are there?

• Write an equation using a letter to represent the unknown, and then solve.
• Explain how you know your answer is reasonable.

Answer:
The number of books = 90.

Explanation:
In the above-given question,
given that,
A shopkeeper in the bookstore arranges the boxed sets of books as shown to the right.
if each box contains 9 books.
b = 9 x 10.
b = 90.
so the number of books = 90.

b. Aunt Korina figures out how many books are in the arrangement. Her work is shown below.
Explain Aunt Korina’s strategy.
10 × 10 – 10 = 90

Answer:
Yes, Aunt Korina was right.

Explanation:
In the above-given question,
given that,
Aunt Korina figures out how many books are in the arrangement.
9 x 10 = 90.
10 x 10 – 10.
100 – 10.
90.

c. In the book store, Aunt Korina buys 3 boxes of pens. Each box contains 2 bundles of 10 gray pens. Her friend buys 6 packs of pens. Each pack contains 10 black pens. Explain how the equation below shows how Aunt Korina and her friend buy the same number of pens.
6 × 10 = 3 × 2 × 10

Answer:
Yes, Aunt Korina and her friend buy the same number of pens.

Explanation:
In the above-given question,
given that,
In the book store, Aunt Korina buys 3 boxes of pens.
Each box contains 2 bundles of 10 gray pens.
6 x 10 = 60.
3 x 2 x 10.
6 x 10 = 60.
Her friend buys 6 packs of pens.
Each pack contains 10 black pens.
6 x 10 = 60.
so both of them buy the same number of pens.

Question 5.
Complete as many problems as you can in 100 seconds. The teacher will time you and tell you when to stop.

Answer:
2 x 1 = 2, 2 x 6 = 12, 5 x 3 = 15, 9 x 4 = 36, 7 x 5 = 35, 9 x 6 = 54, 7 x 7 = 49, 24 / 3 = 8, 4 / 2 = 2, 21 / 7 = 3, 8 / 2 = 4, 7 x 5 = 35, 54 / 9 = 6, 49 / 7 = 7, 9 x 7 = 63, 81 / 9 = 9, 10 / 5 = 2, 8 x 3 = 24, 4 x 3 = 12, 40 / 8 = 5, 6 x 6 = 36, 8 x 7 = 56, 64 / 8 = 8, 63 / 7 = 9, 3 x 3 = 9, 9 x 3 = 27, 16 / 4 = 4, 3 x 5 = 15, 8 x 6 = 48, 6 x 7 = 42, 6 x 8 = 48, 8 x 9 = 72, 2 x 2 = 4, 30 / 10 = 3, 6 x 4 = 24, 5 x 4 = 20, 24 / 4 = 6, 21 / 3 = 7, 8 x 4 = 32, 9 x 9 = 81.

Explanation:
In the above-given question,
given that,
the multiplication and division of 2, 4, 5, 6, 7, 8, and 9.
2 x 1 = 2, 2 x 6 = 12, 5 x 3 = 15, 9 x 4 = 36, 7 x 5 = 35, 9 x 6 = 54, 7 x 7 = 49, 24 / 3 = 8, 4 / 2 = 2, 21 / 7 = 3, 8 / 2 = 4, 7 x 5 = 35, 54 / 9 = 6, 49 / 7 = 7, 9 x 7 = 63, 81 / 9 = 9, 10 / 5 = 2, 8 x 3 = 24, 4 x 3 = 12, 40 / 8 = 5, 6 x 6 = 36, 8 x 7 = 56, 64 / 8 = 8, 63 / 7 = 9, 3 x 3 = 9, 9 x 3 = 27, 16 / 4 = 4, 3 x 5 = 15, 8 x 6 = 48, 6 x 7 = 42, 6 x 8 = 48, 8 x 9 = 72, 2 x 2 = 4, 30 / 10 = 3, 6 x 4 = 24, 5 x 4 = 20, 24 / 4 = 6, 21 / 3 = 7, 8 x 4 = 32, 9 x 9 = 81.

Grade 3 Eureka Math Answer Key is provided by subject experts as per the Common Core curriculum. Grade 3 Eureka Math Solutions provided educates the primary school Kids on all Math concepts of the chapter efficiently. Eureka Math Grade 3 Textbook Answers makes it easy for kids to Grasp the Concepts as well as solve any problem from chapter Tests, Practice Tests, Performance tests, cumulative practice, etc.

Engage NY Eureka Math 3rd Grade Module 3 Lesson 21 Answer Key

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Eureka Math Grade 3 Module 3 Lesson 21 Sprint Answer Key

Multiply by Multiples of 10

Answer:
2 x 3 = 6, 2 x 30 = 60, 20 x 3 = 60, 2 x 2 = 4, 2 x 20 = 40, 20 x 2 = 40, 4 x 2 = 8, 4 x 20 = 80, 40 x 2 = 80, 5 x 3 = 15, 50 x 3 = 150, 3 x 50 = 150, 4 x 4 = 16, 40 x 4 = 160, 4 x 40 = 160, 6 x 3 = 18, 6 x 30 = 180, 60 x 3 = 180, 7 x 5 = 35, 70 x 5 = 350, 7 x 50 = 350, 8 x 4 = 32, 8 x 40 = 320, 4 x 80 = 320, 9 x 6 = 54, 90 x 6 = 540, 2 x 5 = 10, 2 x 50 = 100, 3 x 90 = 270, 40 x 7 = 280, 5 x 40 = 200, 6 x 60 = 360, 70 x 6 = 420, 8 x 70 = 560, 80 x 6 = 480, 9 x 70 = 630, 50 x 6 = 300, 8 x 80 = 640, 9 x 80 = 720, 60 x 8 = 480, 70 x 7 = 490, 5 x 80 = 400, 60 x 9 = 540, 9 x 90 = 810.

Explanation:
In the above-given question,
given that,
multiply by multiple 0f 10.
2 x 3 = 6, 2 x 30 = 60, 20 x 3 = 60, 2 x 2 = 4, 2 x 20 = 40, 20 x 2 = 40, 4 x 2 = 8, 4 x 20 = 80, 40 x 2 = 80, 5 x 3 = 15, 50 x 3 = 150, 3 x 50 = 150, 4 x 4 = 16, 40 x 4 = 160, 4 x 40 = 160, 6 x 3 = 18, 6 x 30 = 180, 60 x 3 = 180, 7 x 5 = 35, 70 x 5 = 350, 7 x 50 = 350, 8 x 4 = 32, 8 x 40 = 320, 4 x 80 = 320, 9 x 6 = 54, 90 x 6 = 540, 2 x 5 = 10, 2 x 50 = 100, 3 x 90 = 270, 40 x 7 = 280, 5 x 40 = 200, 6 x 60 = 360, 70 x 6 = 420, 8 x 70 = 560, 80 x 6 = 480, 9 x 70 = 630, 50 x 6 = 300, 8 x 80 = 640, 9 x 80 = 720, 60 x 8 = 480, 70 x 7 = 490, 5 x 80 = 400, 60 x 9 = 540, 9 x 90 = 810.

Multiply by Multiples of 10

Answer:
4 x 2 = 8, 4 x 20 = 80, 40 x 2 = 80, 3 x 3 = 9, 3 x 30 = 90, 30 x 3 = 90, 3 x 2 = 6, 3 x 20 = 60, 30 x 2 = 60, 5 x 5 = 25, 50 x 5 = 250, 5 x 50 = 250, 4 x 3 = 12, 40 x 3 = 120, 4 x 30 = 120, 7 x 3 = 21, 7 x 30 = 210, 70 x 3 = 210, 6 x 4 = 24, 60 x 4 = 240, 6 x 40 = 240, 9 x 4 = 36, 9 x 40 = 360, 90 x 4 = 360, 8 x 6 = 48, 80 x 6 = 480, 5 x 2 = 10, 5 x 20 = 100, 3 x 80 = 240, 40 x 8 = 320, 4 x 50 = 200, 8 x 80 = 640, 90 x 6 = 540, 6 x 70 = 420, 60 x 6 = 360, 7 x 70 = 490, 60 x 5 = 300, 6 x 80 = 480, 7 x 80 = 560, 80 x 6 = 480, 90 x 7 = 630, 8 x 50 = 400, 80 x 9 = 720, 7 x 90 = 630.

Explanation:
In the above-given question,
given that,multiply by multiples of 10.
4 x 2 = 8, 4 x 20 = 80, 40 x 2 = 80, 3 x 3 = 9, 3 x 30 = 90, 30 x 3 = 90, 3 x 2 = 6, 3 x 20 = 60, 30 x 2 = 60, 5 x 5 = 25, 50 x 5 = 250, 5 x 50 = 250, 4 x 3 = 12, 40 x 3 = 120, 4 x 30 = 120, 7 x 3 = 21, 7 x 30 = 210, 70 x 3 = 210, 6 x 4 = 24, 60 x 4 = 240, 6 x 40 = 240, 9 x 4 = 36, 9 x 40 = 360, 90 x 4 = 360, 8 x 6 = 48, 80 x 6 = 480, 5 x 2 = 10, 5 x 20 = 100, 3 x 80 = 240, 40 x 8 = 320, 4 x 50 = 200, 8 x 80 = 640, 90 x 6 = 540, 6 x 70 = 420, 60 x 6 = 360, 7 x 70 = 490, 60 x 5 = 300, 6 x 80 = 480, 7 x 80 = 560, 80 x 6 = 480, 90 x 7 = 630, 8 x 50 = 400, 80 x 9 = 720, 7 x 90 = 630.

Eureka Math Grade 3 Module 3 Lesson 21 Problem Set Answer Key

Use the RDW process to solve each problem. Use a letter to represent the unknown.

Question 1.
There are 60 seconds in 1 minute. Use a tape diagram to find the total number of seconds in 5 minutes and 45 seconds.

Answer:
The total number of seconds = 345 seconds.

Explanation:
In the above-given question,
given that,
There are 60 seconds in 1 minute.
60 x 5 = 300.
300 + 45 = 345.

Question 2.
Lupe saves $30 each month for 4 months. Does she have enough money to buy the art supplies below? Explain why or why not.

Answer:
No, she does not have enough money to buy the art supplies.

Explanation:
In the above-given question,
given that,
Lupe saves $30 each month for 4 months.
30 x 4 = 120.
but the Art Supplies cost is $142.
120 is less than 142.
so she does not buy.

Question 3.
Brad receives 5 cents for each can or bottle he recycles. How many cents does Brad earn if he recycles 48 cans and 32 bottles?

Answer:
The number of cents he recycles = 400 cents.

Explanation:
In the above-given question,
given that,
Brad receives 5 cents for each can or bottle he recycles.
48 x 5 = 240.
32 x 5 = 150.
240 + 150 = 400.

Question 4.
A box of 10 markers weighs 105 grams. If the empty box weighs 15 grams, how much does each marker weigh?

Answer:
Each marker weight= 9.

Explanation:
In the above-given question,
given that,
A box of 10 markers weighs 105 grams.
If the empty box weighs 15 grams.
9 x 10 = 90.
105 – 15 = 90.

Question 5.
Mr. Perez buys 3 sets of cards. Each set comes with 18 striped cards and 12 polka dot cards. He uses 49 cards. How many cards does he have left?

Answer:
The number of cards he left = 51 cards.

Explanation:
In the above-given question,
given that,
Mr. Perez buys 3 sets of cards.
Each set comes with 18 striped cards and 12 polka dot cards.
He uses 49 cards.
18 + 12 = 30.
30 x 3 = 90.
90 – 49 = 51.
so the number of cards he left = 51.

Question 6.
Ezra earns $9 an hour working at a book store. She works for 7 hours each day on Mondays and Wednesdays. How much does Ezra earn each week?

Answer:
The amount does Ezra earns = $126.

Explanation:
In the above-given question,
given that,
Ezra earns $9 an hour working at a book store.
She works for 7 hours each day on Mondays and Wednesdays.
7 + 7 = 14.
14 x 9 = 126.
so the amount Ezra earns = $126.

Eureka Math Grade 3 Module 3 Lesson 21 Exit Ticket Answer Key

Use the RDW process to solve. Use a letter to represent the unknown.

Frederick buys a can of 3 tennis balls. The empty can weighs 20 grams, and each tennis ball weighs 60 grams. What is the total weight of the can with 3 tennis balls?

Answer:
The total weight of the can with 3 tennis balls = 160 grams.

Explanation:
In the above-given question,
given that,
Frederick buys a can of 3 tennis balls.
The empty can weighs 20 grams, and each ball weighs 60 grams.
60 x 3 = 180.
180 – 20 = 160.

Eureka Math Grade 3 Module 3 Lesson 21 Homework Answer Key

Use the RDW process for each problem. Use a letter to represent the unknown.

Question 1.
There are 60 minutes in 1 hour. Use a tape diagram to find the total number of minutes in 6 hours and
15 minutes.

Answer:
The total number of minutes in 6 hours and 15 minutes = 375 minutes.

Explanation:
In the above-given question,
given that,
There are 60 minutes in 1 hour.
60 / n = 360.
360 / 60 = n.
n = 60 + 15.

Question 2.
Ms. Lemus buys 7 boxes of snacks. Each box has 12 packets of fruit snacks and 18 packets of cashews. How many snack packets does she buy altogether?

Answer:
The number of snack packets = 210.

Explanation:
In the above-given question,
given that,
Ms. Lemus buys 7 boxes of snacks.
Each box has 12 packets of fruit snacks and 18 packets of cashews.
12 + 18 = 30.
30 x 7 = 210.
so the number of snack packets = 210.

Question 3.
Tamara wants to buy a tablet that costs $437. She saves $50 a month for 9 months. Does she have enough money to buy the tablet? Explain why or why not.

Answer:
Yes, she has enough money.

Explanation:
In the above-given question,
given that,
Tamara wants to buy a table that costs $437.
she saves $50 a month for 9 months.
50 x 9 = 450.
so she has enough money to buy.

Question 4.
Mr. Ramirez receives 4 sets of books. Each set has 16 fiction books and 14 nonfiction books. He puts 97 books in his library and donates the rest. How many books does he donate?

Answer:
The number of books he donates = 23.

Explanation:
In the above-given question,
given that,
Mr. Ramirez receives 4 sets of books.
Each set has 16 fiction books and 14 nonfiction books.
He puts 97 books in his library and donates the rest.
16 + 14 = 30.
30 x 4 = 120.
120 – 97 = 23.
so the number of books he donates = 23.

Question 5.
Celia sells calendars for a fundraiser. Each calendar costs $9. She sells 16 calendars to her family members and 14 calendars to the people in her neighborhood. Her goal is to earn $300. Does Celia reach her goal? Explain your answer.

Answer:
No, she does not reach her goal.

Explanation:
In the above-given question,
given that,
Celia sells calendars for a fundraiser.
Each calendar costs $9.
she sells 16 calendars to her family members and 14 calendars to the people in her neighborhood.
16 + 14 = 30.
30 x 9 = 270.
so she does not reach her goal.

Question 6.
The video store sells science and history movies for $5 each. How much money does the video store make if it sells 33 science movies and 57 history movies?

Answer:
The video store makes = $450.

Explanation:
In the above-given question,
given that,
The video store sells science and history movies for $5 each.
33 + 57 = 90.
90 x 5 = 450.
so the video store makes = $450.

Eureka Math Grade 3 Module 3 Lesson 21 Template Answer Key

Answer:
30 x 6 = 180, 9 x 60 = 540, 40 x 2 = 80, 10 x 6 = 60, 70 x 3 = 210, 50 x 6 = 300, 80 x 9 = 720, 20 x 5 = 100, 8 x 30 = 240, 3 x 30 = 90, 5 x 50 = 250, 4 x 40 = 160, 6 x 80 = 480, 70 x 7 = 490, 20 x 7 = 140, 10 x 7 = 70, 90 x 7 = 630, 2 x 60 = 120, 50 x 7 = 350, 80 x 5 = 400, 60 x 6 = 360, 9 x 50 = 450, 30 x 9 = 270, 4 x 80 = 320.

Explanation:
In the above-given table,
given that,
the multiplication of 6, 7, 8, and 9 are given.
30 x 6 = 180, 9 x 60 = 540, 40 x 2 = 80, 10 x 6 = 60, 70 x 3 = 210, 50 x 6 = 300, 80 x 9 = 720, 20 x 5 = 100, 8 x 30 = 240, 3 x 30 = 90, 5 x 50 = 250, 4 x 40 = 160, 6 x 80 = 480, 70 x 7 = 490, 20 x 7 = 140, 10 x 7 = 70, 90 x 7 = 630, 2 x 60 = 120, 50 x 7 = 350, 80 x 5 = 400, 60 x 6 = 360, 9 x 50 = 450, 30 x 9 = 270, 4 x 80 = 320.

Eureka Grade 3 ensures students with the learning targets and success criteria. The Diverse opportunities will develop problem-solving skills among the primary school kids practicing Bigideas Math Grade 3 Solutions. Eureka Textbook Grade 3 answers help Students Master the subject on Consistent practice.

Engage NY Eureka Math 3rd Grade Module 3 Mid Module Assessment Answer Key

Grade 3 Eureka Math Answer Key is provided by subject experts as per the Common Core curriculum. Grade 3 Eureka Math Solutions provided educates the primary school Kids on all Math concepts of the chapter efficiently. Eureka Math Grade 3 Textbook Answers makes it easy for kids to Grasp the Concepts as well as solve any problem from chapter Tests, Practice Tests, Performance tests, cumulative practice, etc.

Eureka Math Grade 3 Module 3 Mid Module Assessment Answer Key

Question 1.
The carnival is in town for 21 days. How many weeks is the carnival in town? (There are 7 days in 1 week.) Write an equation, and solve.

Answer:
The number of weeks carnival in town = 3 weeks.

Explanation:
In the above-given equation,
given that,
The carnival is in town for 21 days.
1 week = 7 days.
7 / n = 21.
n = 21 / 7.
n = 3.

Question 2.
There are 48 liters of water needed to finish filling the dunk tank at the carnival. Each container holds 8 liters of water. How many containers are needed to finish filling the dunk tank? Represent the problem using multiplication and division sentences and a letter for the unknown. Solve.
____8___ × ____6___ = ____48___
___48____ ÷ ___8____ = ____6___

Answer:
The containers needed to finish filling the dunk tank = 6.

Explanation:
In the above-given question,
given that,
There are 48 liters of water needed to finish filling the dunk tank at the carnival.
Each container holds 8 liters of water.
8 / c = 48.
c = 48 / 8.
c = 6.
48 x c = 8.
c = 6 x 8.
c = 48.

Question 3.
There are 4 rows of 7 chairs setup for the Magic Show. A worker sees the large number of people lined up and doubles the number of rows of chairs. They are shown below.
Explain and label to show how the array represents both 8 × 7 and 2 × (4 × 7).

Answer:
8 x 7 = 56.

Explanation:
In the above-given question,
given that,
The number of rows = 8.
the number of columns = 7.
8 x 7 = 2 x (4 x 7).
(2 x 4 ) x 7.
8 x 7 = 56.

Question 4.
a. Fabrizio wins a bumblebee doll with 6 stripes. He notices that 5 other children in line for the Magic Show won the same doll. How many stripes are on 6 bumblebee dolls? Write an equation using a letter to represent the unknown. Solve.

Answer:
The number of stripes on bumblebee dolls = 30.

Explanation:
In the above-given question,
given that,
Fabrizio wins a bumblebee doll with 6 stripes.
He notices that 5 other children in line for the magic show won the same doll.
6 x n = 5.
n = 6 x 5.
n = 30.

The magician uses a magic box. Every time he puts an object in, it gets multiplied. Fabrizio writes down what happens each time and tries to find a pattern. Look at his notes to the right.

b. Use the pattern to fill in the number of bean bags.

Answer:
6 x 7 = 42.

Explanation:
In the above-given question,
given that,
6 x 7 = 42 bean bags.

c. What does the magic box do? Explain how you know.

Answer:
2 x 7 = 14.
3 x 7 = 21.
4 x 7 = 28.
5 x 7 = 35.
6 x 7 = 42.

Explanation:
In the above-given question,
given that,
Every time he put an object in, it gets multiplied.
2 x 7 = 14.
3 x 7 = 21.
4 x 7 = 28.
5 x 7 = 35.
6 x 7 = 42.

d. The magician puts 12 rings into the magic box. Fabrizio draws a number bond to find the total number of rings after they are multiplied in the magic box. Use the number bond to show how Fabrizio might have solved the problem.

Answer:
12 x 7 = 84.

Explanation:
In the above-given question,
given that,
6 x 7 = 42 and 6 x 7 = 42.
42 + 42 = 84.

e. After the show, Fabrizio and 5 friends equally share the cost of a $54 magic set. They use the equation 6 × n = $54 to figure out how much each person pays. How much does Fabrizio pay?

Answer:
The amount each person pays = $9.

Explanation:
In the above-given question,
given that,
Fabrizio and 5 friends equally share the cost of a $54 magic set.
They use the equation 6 x n = $54.
n = 54 / 6.
n = 9.

Eureka Grade 3 ensures students with the learning targets and success criteria. The Diverse opportunities will develop problem-solving skills among the primary school kids practicing Bigideas Math Grade 3 Solutions. Eureka Textbook Grade 3 answers help Students Master the subject on Consistent practice.

Engage NY Eureka Math 3rd Grade Module 3 Lesson 20 Answer Key

Grade 3 Eureka Math Answer Key is provided by subject experts as per the Common Core curriculum. Grade 3 Eureka Math Solutions provided educates the primary school Kids on all Math concepts of the chapter efficiently. Eureka Math Grade 3 Textbook Answers makes it easy for kids to Grasp the Concepts as well as solve any problem from chapter Tests, Practice Tests, Performance tests, cumulative practice, etc.

Eureka Math Grade 3 Module 3 Lesson 20 Problem Set Answer Key

Question 1.
Use the chart to complete the equations. Then, solve. The first one has been done for you.
a.

(2 × 4) × 10
= (8 ones) × 10
= ___80____

Answer:
8 x 10 = 80.

Explanation:
In the above-given question,
given that,
(2 x 4) x 10.
(8 ones) x 10.
80.

b.

2 × (4 × 10)
= 2 × (4 tens)
= ___80____

Answer:
2 x 4 tens = 80.

Explanation:
In the above-given question,
given that,
2 x (4 x 10).
2 x (4 tens).
80.

c.

(3 × 5) × 10
= ( __15___ ones ) × 10
= ___150____

Answer:
15 x 10 = 150.

Explanation:
In the above-given question,
given that,
(3 x 5) x 10.
(15 ones) x 10.
150.

d.

3 × (5 × 10)
= 3 × ( ___50___ tens)
= ___150____

Answer:
3 x 5 tens = 150.

Explanation:
In the above-given question,
given that,
3 x (5 x 10).
3 x (5 tens).
150.

Question 2.
Place parentheses in the equations to find the related fact. Then, solve. The first one has been done for you.

Answer:
2 x 20 = 40.
2 x 30 = 60.
3 x 30 = 90.
2 x 50 = 100.

Explanation:
In the above-given figure,
given that,
2 x 20 = 2 x (2 x 10).
(2 x 2) x 10.
4 x 10 = 40.
2 x 30 = 2 x (3 x 10).
(2 x 3) x 10.
6 x 10 = 60.
3 x 30 = 3 x (3 x 10).
(3 x 3) x 10.
9 x 10 = 90.
2 x 50 = 2 x (5 x 10).
(2 x 5) x 10.
10 x 10 = 100.

Question 3.
Gabriella solves 20 × 4 by thinking about 10 × 8. Explain her strategy.

Answer:
20 x 4 = 80.

Explanation:
In the above-given question,
given that,
Gabriella solves 20 x 4 = 80.
This can also write it as 10 x 8 = 80.
20 x 4 = (2 x 10) x 4.
2 x (10 x 4).
2 x 40 = 80.

Eureka Math Grade 3 Module 3 Lesson 20 Exit Ticket Answer Key

Question 1.
Place parentheses in the equations to find the related fact. Then, solve.
a. 4 × 20 = 4 × 2 × 10
= 4 × 2 × 10
= __8____ × 10
= __80____

Answer:
4 x 20 = 80.

Explanation:
In the above-given question,
given that,
4 x 20 = 4 x (2 x 10).
(4 x 2) x 10.
8 x 10.
80

b. 3 × 30 = 3 × 3 × 10
= 3 × 3 × 10
= __9___ × 10

Answer:
3 x 30 = 90.

Explanation:
In the above-given question,
given that,
3 x 30 = 3 x (3 x 10).
(3 x 3) x 10.
9 x 10.
90

Question 2.
Jamila solves 20 × 5 by thinking about 10 tens. Explain her strategy.

Answer:
20 x 5 = 100.

Explanation:
In the above-given question,
given that,
Jamila solves 20 x 5 by thinking about 10 tens.
20 x 5 = (2 x 10) x 5.
2 x (10 x 5).
2 x 50 = 100.
10 x 10 = 100.

Eureka Math Grade 3 Module 3 Lesson 20 Homework Answer Key

Question 1.
Use the chart to complete the equations. Then, solve.
a.

(2 × 5) × 10
= (10 ones) × 10
= ___100____

Answer:
8 x 10 = 80.

Explanation:
In the above-given question,
given that,
(2 x 5) x 10.
(10 ones) x 10.
100.

b.

2 × (5 × 10)
= 2 × (5 tens)
= ___100____

Answer:
2 x 5 tens = 100.

Explanation:
In the above-given question,
given that,
2 x (5 x 10).
2 x (5 tens).
100.

c.

(4 × 5) × 10
= (__20___ ones) × 10
= ___200____

Answer:
20 x 10 = 200.

Explanation:
In the above-given question,
given that,
(4 x 5) x 10.
(20 ones) x 10.
200.

d.

4 × (5 × 10)
= 4 × (__5__ tens)
= ___200____

Answer:
4 x 5 tens = 200.

Explanation:
In the above-given question,
given that,
4 x (5 x 10).
4 x (5 tens).
200.

Question 2.
Solve, Place parentheses in (c) and (d) as needed to find the related fact.

Answer:
3 x 20 = 60.
3 x 30 = 90.
3 x 40 = 120.
3 x 50 = 150.

Explanation:
In the above-given figure,
given that,
3 x 20 = 3 x (2 x 10).
(3 x 2) x 10.
6 x 10 = 60.
3 x 30 = 3 x (3 x 10).
(3 x 3) x 10.
9 x 10 = 90.
3 x 40 = 3 x (4 x 10).
(3 x 4) x 10.
12 x 10 = 120.
3 x 50 = 3 x (5 x 10).
(3 x 5) x 10.
15 x 10 = 150.

Question 3.
Danny solves 5 × 20 by thinking about 10 × 10. Explain his strategy.

Answer:
5 x 20 = 100.

Explanation:
In the above-given question,
given that,
Danny solves 5 x 20 = 100.
5 x 20 = 5 x ( 2 x 10).
(5 x 2) x 10.
10 x 10 = 100.

Grade 3 Eureka Math Answer Key is provided by subject experts as per the Common Core curriculum. Grade 3 Eureka Math Solutions provided educates the primary school Kids on all Math concepts of the chapter efficiently. Eureka Math Grade 3 Textbook Answers makes it easy for kids to Grasp the Concepts as well as solve any problem from chapter Tests, Practice Tests, Performance tests, cumulative practice, etc.

Engage NY Eureka Math 3rd Grade Module 3 Lesson 19 Answer Key

Eureka Grade 3 ensures students with the learning targets and success criteria. The Diverse opportunities will develop problem-solving skills among the primary school kids practicing Bigideas Math Grade 3 Solutions. Eureka Textbook Grade 3 answers help Students Master the subject on Consistent practice.

Eureka Math Grade 3 Module 3 Lesson 19 Problem Set Answer Key

Question 1.
Use the disks to fill in the blanks in the equations.
a.

4 × 3 ones = ___12____ ones
4 × 3 = ___12____

Answer:
4 x 3 = 12.

Explanation:
In the above-given question,
given that,
the number of rows = 4.
the number of columns = 3.
4 x 3 ones = 12 ones.
4 x 3 = 12.

b.

4 × 3 tens = __12_____ tens
4 × 30 = ___120____

Answer:
4 x 30 = 120.

Explanation:
In the above-given question,
given that,
the number of rows = 4.
the number of columns = 3.
4 x 3 tens = 120 tens.
4 x 30 = 120.

Question 2.
Use the chart to complete the blanks in the equations.
a.

2 × 4 ones = ____8___ ones
2 × 4 = ___8____

Answer:
2 x 4 = 8.

Explanation:
In the above-given question,
given that,
the number of rows = 2.
the number of columns = 4.
2 x 4 ones = 8 ones.
2 x 4 = 8.

b.

2 × 4 tens = ___8____ tens
2 × 40 = __80_____

Answer:
2 x 40 = 80.

Explanation:
In the above-given question,
given that,
the number of rows = 2.
the number of columns = 4.
2 x 4 tens = 80 tens.
2 x 40 = 80.

c.

3 × 5 ones = ____15___ ones
3 × 5 = ____15___

Answer:
3 x 5 = 15.

Explanation:
In the above-given question,
given that,
the number of rows = 3.
the number of columns = 5.
3 x 5 ones = 15 ones.
3 x 5 = 15.

d.

3 × 5 tens = __15_____ tens
3 × 50 = ___150____

Answer:
3 x 50 = 150.

Explanation:
In the above-given question,
given that,
the number of rows = 3.
the number of columns = 5.
3 x 5 tens = 15 tens.
3 x 50 = 150.

e.

4 × 5 ones = ___20____ ones
4 × 5 = ___20____

Answer:
4 x 5 = 20.

Explanation:
In the above-given question,
given that,
the number of rows = 4.
the number of columns = 5.
4 x 5 ones = 20 ones.
4 x 5 = 20.

f.

4 × 5 tens = ___20____ tens
4 × 50 = __200_____

Answer:
4 x 50 = 200.

Explanation:
In the above-given question,
given that,
the number of rows = 4.
the number of columns = 5.
4 x 5 tens = 20 tens.
4 x 50 = 200.

Question 3.
Fill in the blank to make the equation true.

Answer:
2 x 70 = 140.

Explanation:
In the above-given question,
given that,
the number of rows = 3.
the number of columns = 7.
2 x 7 tens = 14 tens.
2 x 70 = 140.

Answer:
3 x 80 = 240.

Explanation:
In the above-given question,
given that,
the number of rows = 3.
the number of columns = 8.
3 x 8 tens = 24 tens.
3 x 80 = 240.

Question 4.
A bus can carry 40 passengers. How many passengers can 6 buses carry? Model with a tape diagram.

Answer:
The number of passengers can 6 buses carry = 240.

Explanation:
In the above-given question,
given that,
A bus can carry 40 passengers.
40 x 6 = 240.
so the number of passengers can 6 buses carry = 240.

Eureka Math Grade 3 Module 3 Lesson 19 Exit Ticket Answer Key

Question 1.
Use the chart to complete the blanks in the equations.

6 × 5 ones = __30____ ones
6 × 5 = __30____

Answer:
6 x 5 = 30.

Explanation:
In the above-given question,
given that,
the number of rows = 6.
the number of columns = 5.
6 x 5 ones = 30 ones.
6 x 5 = 30.

6 × 5 tens = __30____ tens
6 × 50 = __300____

Answer:
6 x 50 = 300.

Explanation:
In the above-given question,
given that,
the number of rows = 6.
the number of columns = 5.
6 x 5 tens = 30 tens.
6 x 50 = 300.

Question 2.
A small plane has 20 rows of seats. Each row has 4 seats.

a. Find the total number of seats on the plane.

Answer:
20 x 4 = 80.

Explanation:
In the above-given question,
given that,
the number of rows = 20.
the number of columns = 4.
20 x 4 ones = 80 ones.
20 x 4 = 80.

b. How many seats are on 3 small planes?

Answer:
3 x 80 = 240.

Explanation:
In the above-given question,
given that,
the number of rows = 3.
the number of columns = 8.
3 x 8 tens = 24 tens.
3 x 80 = 240.

Eureka Math Grade 3 Module 3 Lesson 19 Homework Answer Key

Question 1.
Use the disks to complete the blanks in the equations.
a.

3 × 3 ones = ___9____ ones
3 × 3 = ___9____

Answer:
3 x 3 = 9.

Explanation:
In the above-given question,
given that,
the number of rows = 3.
the number of columns = 3.
3 x 3 ones = 9 ones.
3 x 3 = 9.

b.

3 × 3 tens = ___9____ tens
30 × 3 = ___90____

Answer:
3 x 30 = 90.

Explanation:
In the above-given question,
given that,
the number of rows = 3.
the number of columns = 3.
3 x 3 tens = 9 tens.
3 x 30 = 90.

Question 2.
Use the chart to complete the blanks in the equations.
a.

2 × 5 ones = ____10___ ones
2 × 5 = __10_____

Answer:
2 x 5 = 10.

Explanation:
In the above-given question,
given that,
the number of rows = 2.
the number of columns = 5.
2 x 5 ones = 10 ones.
2 x 5 = 10.

b.

2 × 5 tens = ___10____ tens
2 × 50 = ___100____

Answer:
2 x 50 = 100.

Explanation:
In the above-given question,
given that,
the number of rows = 2.
the number of columns = 5.
2 x 5 tens = 10 tens.
2 x 50 = 100.

c.

5 × 5 ones = ____25___ ones
5 × 5 = __25_____

Answer:
5 x 5 = 25.

Explanation:
In the above-given question,
given that,
the number of rows = 5.
the number of columns = 5.
5 x 5 ones = 25 ones.
5 x 5 = 25.

d.

5 × 5 tens = ___25____ tens
5 × 50 = __250_____

Answer:
5 x 50 = 250.

Explanation:
In the above-given question,
given that,
the number of rows = 5.
the number of columns = 5.
5 x 5 tens = 5 tens.
5 x 50 = 250.

Question 3.
Match.

Answer:
6 x 2 = 12.
6 tens x 2 = 120.
7 x 3 = 21,
7 tens x 3 = 210.
70 x 5 = 350.
3 x 90 = 270.

Explanation:
In the above-given question,
given that,
6 x 2 = 12.
6 tens x 2 = 60 x 2 = 120.
7 x 3 = 21.
70 x 5 = 350.
7 tens x 3 = 70 x 3 = 210.
3 x 90 = 270.

Question 4.
Each classroom has 30 desks. What is the total number of desks in 8 classrooms? Model with a tape diagram.

Answer:
The total number of desks in 8 classrooms = 240.

Explanation:
In the above-given question,
given that,
Each classroom has 30 desks.
30 x 8 = 240.
so the total number of desks in 8 classrooms = 240.

Eureka Grade 3 ensures students with the learning targets and success criteria. The Diverse opportunities will develop problem-solving skills among the primary school kids practicing Bigideas Math Grade 3 Solutions. Eureka Textbook Grade 3 answers help Students Master the subject on Consistent practice.

Engage NY Eureka Math 3rd Grade Module 3 Lesson 16 Answer Key

Grade 3 Eureka Math Answer Key is provided by subject experts as per the Common Core curriculum. Grade 3 Eureka Math Solutions provided educates the primary school Kids on all Math concepts of the chapter efficiently. Eureka Math Grade 3 Textbook Answers makes it easy for kids to Grasp the Concepts as well as solve any problem from chapter Tests, Practice Tests, Performance tests, cumulative practice, etc.

Eureka Math Grade 3 Module 3 Lesson 16 Sprint Answer Key

Multiply or divide by 9

Answer:
2 x 9 = 18, 3 x 9 = 27, 4 x 9 = 36, 5 x 9 = 45, 1 x 9 = 9, 18 / 9 = 2, 27 / 9 = 3, 45 / 9 = 5, 9 / 9 = 1, 36 / 9 = 4, 6 x 9 = 54, 7 x 9 = 63, 8 x 9 = 72, 9 x 9 = 81, 10 x 9 = 90, 72 / 9 = 8, 63 / 9 = 7, 81 / 9 = 9, 54 / 9 = 6, 90 / 9 = 10, 5 x 9 = 45, 1 x 9 = 9, 10 x 9 = 90, 2 x 9 = 18, 3 x 9 = 27, 90 / 9 = 10, 45 / 9 = 5, 9 / 9 = 1, 18 / 9 = 2, 27 / 9 = 3, 6 x 9 = 54, 7 x 9 = 63, 9 x 9 = 81, 8 x 9 = 72, 63 / 9 = 7, 81 / 9 = 9, 54 / 9 = 6, 72 / 9 = 8, 11 x 9 = 99, 99 / 9 = 11, 12 x 9 = 108, 108 / 9 = 12, 14 x 9 = 126, 126 / 9 = 14.

Explanation:
In the above-given question,
given that,
multiply or divide by 9.
2 x 9 = 18, 3 x 9 = 27, 4 x 9 = 36, 5 x 9 = 45, 1 x 9 = 9, 18 / 9 = 2, 27 / 9 = 3, 45 / 9 = 5, 9 / 9 = 1, 36 / 9 = 4, 6 x 9 = 54, 7 x 9 = 63, 8 x 9 = 72, 9 x 9 = 81, 10 x 9 = 90, 72 / 9 = 8, 63 / 9 = 7, 81 / 9 = 9, 54 / 9 = 6, 90 / 9 = 10, 5 x 9 = 45, 1 x 9 = 9, 10 x 9 = 90, 2 x 9 = 18, 3 x 9 = 27, 90 / 9 = 10, 45 / 9 = 5, 9 / 9 = 1, 18 / 9 = 2, 27 / 9 = 3, 6 x 9 = 54, 7 x 9 = 63, 9 x 9 = 81, 8 x 9 = 72, 63 / 9 = 7, 81 / 9 = 9, 54 / 9 = 6, 72 / 9 = 8, 11 x 9 = 99, 99 / 9 = 11, 12 x 9 = 108, 108 / 9 = 12, 14 x 9 = 126, 126 / 9 = 14.

Multiply or divide by 9

Answer:
1 x 9 = 9, 2 x 9 = 18, 3 x 9 = 27, 4 x 9 = 36, 5 x 9 = 45, 27 / 9 = 3, 18 / 9 = 2, 36 / 9 = 4, 9 / 9 = 1, 45 / 9 = 5, 10 x 9 = 90, 6 x 9 = 54, 7 x 9 = 63, 8 x 9 = 72, 9 x 9 = 81, 63 / 9 = 7, 54 / 9 = 6, 72 / 9 = 8, 90 / 9 = 10, 81 / 9 = 9, 9 x 9 = 81, 1 x 9 = 9, 5 x 9 = 45, 2 x 9 = 18, 10 x 9 = 90, 3 x 9 = 27, 18 / 9 = 2, 9 / 9 = 1, 45 / 9 = 5, 27 / 9 = 3, 3 x 9 = 27, 4 x 9 = 36, 9 x 9 = 81, 7 x 9 = 63, 72 / 9 = 8, 81 / 9 = 9, 54 / 9 = 6, 63 / 9 = 7, 11 x 9 = 99, 99 / 9 = 11, 12 x 9 = 108, 108 / 9 = 12, 13 x 9 = 117, 117 / 9 = 13.

Explanation:
In the above-given question,
given that,
multiply or divide by 9.
1 x 9 = 9, 2 x 9 = 18, 3 x 9 = 27, 4 x 9 = 36, 5 x 9 = 45, 27 / 9 = 3, 18 / 9 = 2, 36 / 9 = 4, 9 / 9 = 1, 45 / 9 = 5, 10 x 9 = 90, 6 x 9 = 54, 7 x 9 = 63, 8 x 9 = 72, 9 x 9 = 81, 63 / 9 = 7, 54 / 9 = 6, 72 / 9 = 8, 90 / 9 = 10, 81 / 9 = 9, 9 x 9 = 81, 1 x 9 = 9, 5 x 9 = 45, 2 x 9 = 18, 10 x 9 = 90, 3 x 9 = 27, 18 / 9 = 2, 9 / 9 = 1, 45 / 9 = 5, 27 / 9 = 3, 3 x 9 = 27, 4 x 9 = 36, 9 x 9 = 81, 7 x 9 = 63, 72 / 9 = 8, 81 / 9 = 9, 54 / 9 = 6, 63 / 9 = 7, 11 x 9 = 99, 99 / 9 = 11, 12 x 9 = 108, 108 / 9 = 12, 13 x 9 = 117, 117 / 9 = 13.

Eureka Math Grade 3 Module 3 Lesson 16 Problem Set Answer Key

Question 1.
Complete.
a. ___6__ × 1 = 6

Answer:
6 x 1 = 6.

Explanation:
In the above-given question,
given that,
6 x 1 = 6.
1 x 6 = 6.

b. ___0__ ÷ 7 = 0

Answer:
0 / 7 = 0.

Explanation:
In the above-given question,
given that,
0 / 7 = 0.

c. 8 × __1___ = 8

Answer:
8 x 1 = 8.

Explanation:
In the above-given question,
given that,
8 x 1 = 8.
1 x 8 = 8.

d. 9 ÷ ___1__ = 9

9 / 1 = 9.

Explanation:
In the above-given question,
given that,
9 / 1 = 9.

e. 0 ÷ 5 = __0___

0 / 5 = 0.

Explanation:
In the above-given question,
given that,
0 / 5 = 0.

f. __0___ × 0 = 0

Answer:
0 x 0 = 0.

Explanation:
In the above-given question,
given that,
0 x 0 = 0.

g. 4 ÷ ___4__ = 1

Answer:
4 / 4 = 1.

Explanation:
In the above-given question,
given that,
4 / 4 = 1.

h. __3___ × 1 = 3

Answer:
3 x 1 = 3.

Explanation:
In the above-given question,
given that,
3 x 1 = 3.
1 x 3 = 3.

Question 2.
Match each equation with its solution.

Answer:
n = 3.
n = 0.
n = 6.
n = 1.
n = 9.
n = 8.

Explanation:
In the above-given question,
given that,
1 x n = 3, n = 3 x 1, n = 3.
n / 4 = 0, n = 0 / 4, n = 0.
1 x 6 = n, n = 6 x 1, n = 6.
7 / 7 = n, n = 7 / 7 , n = 1.
n x 1 = 9, n = 9 x 1, n = 9.
n / 1 = 8, n = 8 / 1, n = 8.

Question 3.
Let n be a number. Complete the blanks below with the products.

Answer:
1 x 1 = 1.
2 x 1 = 2.
3 x 1 = 3.
4 x 1 = 4.
5 x 1 = 5.
6 x 1 = 6.
7 x 1 = 7.
8 x 1 = 8.
9 x 1 = 9.
n x 1 = n.

Explanation:
In the above-given question,
given that,
Let n be a number.
1 x 1 = 1.
2 x 1 = 2.
3 x 1 = 3.
4 x 1 = 4.
5 x 1 = 5.
6 x 1 = 6.
7 x 1 = 7.
8 x 1 = 8.
9 x 1 = 9.
n x 1 = n.

Question 4.
Josie says that any number divided by 1 equals that number.
a. Write a division equation using n to represent Josie’s statement.

Answer:
9 / 1 = 9.

Explanation:
In the above-given question,
given that,
Josie says that any number divided by 1 equals that number.
a. 9 / n = 1.
n = 9 / 1.
n = 9.

b. Use your equation from Part (a). Let n = 6. Write a new equation, and draw a picture to show that your equation is true.

Answer:
n / 1 = 6.

Explanation:
In the above-given question,
given that,
Let n = 6.
n / 1 = 6.
6 / 1 = 6.

c. Write the related multiplication equation that you can use to check your division equation.

Answer:
n x 1 = 6.

Explanation:
In the above-given question,
given that,
Let n = 6.
n x 1 = 6.
6 x 1 = 6.

Question 5.
Matt explains what he learned about dividing with zero to his little sister.
a. What might Matt tell his sister about solving 0 ÷ 9? Explain your answer.

Answer:
0 / 9 = 0.

Explanation:
In the above-given question,
given that,
Matt explains what he learned about dividing with zero to his little sister.
a. 0 / 9 = 0.
Any number divided by 0 is 0.

b. What might Matt tell his sister about solving 8 ÷ 0? Explain your answer.

Answer:
8 / 0 = 8.

Explanation:
In the above-given question,
given that,
Any number divided by 0 will be the same number.
8 / 0 = 8.

c. What might Matt tell his sister about solving 0 ÷ 0? Explain your answer.

Answer:
0 / 0 = 0.

Explanation:
In the above-given question,
given that,
Matt tells his sister about solving 0 / 0.
Any number divided by 0 is 0.

Eureka Math Grade 3 Module 3 Lesson 16 Exit Ticket Answer Key

Question 1.
Complete.
a. __5___ × 1 = 5

Answer:
5 x 1 = 5.

Explanation:
In the above-given question,
given that,
5 x 1 = 5.
1 x 5 = 5.

b. 6 × __1___ = 6

Answer:
6 x 1 = 6.

Explanation:
In the above-given question,
given that,
6 x 1 = 6.
1 x 6 = 6.

c. __0___÷ 7 = 0

Answer:
0 / 7 = 0.

Explanation:
In the above-given question,
given that,
0 / 7 = 0.

d. 5 × __0___ = 0

Answer:
5 x 0 = 0.

Explanation:
In the above-given question,
given that,
0 x 5 = 0.
5 x 0 = 0.

e. 1 = 9 ÷ ___9__

Answer:
9 / 9 = 1.

Explanation:
In the above-given question,
given that,
9 / 9 = 1.

f. 8 = 1 × __8___

Answer:
1 x 8 = 8.

Explanation:
In the above-given question,
given that,
1 x 8 = 8.
8 x 1 = 8.

Question 2.
Luis divides 8 by 0 and says it equals 0. Is he correct? Explain why or why not.

Answer:
No, he was not correct.

Explanation:
In the above-given question,
given that,
Luis divides 8 by 0 and says it equals o.
Any number divided by 0 will be the same number.
8 / 0 = 8.
so he was not correct.

Eureka Math Grade 3 Module 3 Lesson 16 Homework Answer Key

Question 1.
Complete.
a. 4 × 1 = ___4___

Answer:
4 x 1 = 4.

Explanation:
In the above-given question,
given that,
4 x 1 = 4.
1 x 4 = 4.

b. 4 × 0 = __0___

Answer:
4 x 0 = 0.

Explanation:
In the above-given question,
given that,
4 x 0 = 0.
0 x 4 = 4.

c. __5___ × 1 = 5

Answer:
5 x 1 = 5.

Explanation:
In the above-given question,
given that,
5 x 1 = 5.
1 x 5 = 5.

d. __0___ ÷ 5 = 0

Answer:
0 / 5 = 0.

Explanation:
In the above-given question,
given that,
0 / 5 = 0.

e. 6 × __1___ = 6

Answer:
6 x 1 = 6.

Explanation:
In the above-given question,
given that,
6 x 1 = 6.

f. __0___ ÷ 6 = 0

Answer:
0 / 6 = 0.

Explanation:
In the above-given question,
given that,
0 / 6 = 0.

g. 0 ÷ 7 = __0___

Answer:
0 / 7 = 0.

Explanation:
In the above-given question,
given that,
0 / 7 = 0.

h. 7 × ___0__ = 0

Answer:
7 x 0 = 0.

Explanation:
In the above-given question,
given that,
7 x 0 = 0.

i. 8 ÷ ___1__ = 8

Answer:
8 / 1 = 8.

Explanation:
In the above-given question,
given that,
8 / 1 = 8.

j. ___1__ × 8 = 8

Answer:
1 x 8 = 8.

Explanation:
In the above-given question,
given that,
1 x 8 = 8.
8 x 1 = 8.

k. 9 × __1___ = 9

Answer:
9 x 1 = 9.

Explanation:
In the above-given question,
given that,
9 x 1 = 9.

l. 9 ÷ ___9__ = 1

Answer:
9 / 9 = 1.

Explanation:
In the above-given question,
given that,
9 / 9 = 1.

Question 2.
Match each equation with its solution.

Answer:
w = 9.
w = 6.
w = 7.
w = 8.
w = 0.
w = 1.

Explanation:
In the above-given question,
given that,
9 x 1 = w. w = 1 x 9, w = 9.
w x 1 = 6, w = 1 x 6, w = 6.
7 / w = 1, w = 7 / 1, w = 7.
1 x w = 8, w = 1 x 8, w = 8.
w / 8 = 0, w = 0 / 8, w = 0.
9 / 9 = w, w = 9 / 9, w = 1.

Question 3.
Let c = 8. Determine whether the equations are true or false. The first one has been done for you.

Answer:
c = 0.
c = 0.
c = 8.
c = 8.
c = 0
c = 8.
c = 0.
c = 8.

Explanation:
In the above-given question,
given that,
c x 0 = 8, c = 0 x 8, c = 0.
0 x c = 0, c = 0 x 0, c = 0.
c x 1 = 8, c = 1 x 8, c = 8.
1 x c = 8, c = 8 x 1, c = 8.
0 / c = 0, c = 0 / 0, c = 0.
8 / c = 1, c = 8 / 1, c = 8.
0 / c = 0, c = 0 / 0, c = 0.
c / 0 = 8, c = 8 / 0, c = 8.

Question 4.
Rajan says that any number multiplied by 1 equals that number.
a. Write a multiplication equation using n to represent Rajan’s statement.

Answer:
Yes, Rajan was correct.

Explanation:
In the above-given question,
given that,
Rajan says that any number multiplied by 1 equals that number.
8 x n = 1.
n = 1 x 8.
n = 8.

b. Using your equation from Part (a), let n = 5, and draw a picture to show that the new equation is true.

Answer:
40 / 5 = 8.

Explanation:
In the above-given question,
given that,
8 / n = 40.
40 / 8 = 5.
n = 5.

Eureka Grade 3 ensures students with the learning targets and success criteria. The Diverse opportunities will develop problem-solving skills among the primary school kids practicing Bigideas Math Grade 3 Solutions. Eureka Textbook Grade 3 answers help Students Master the subject on Consistent practice.

Engage NY Eureka Math 3rd Grade Module 3 Lesson 15 Answer Key

Grade 3 Eureka Math Answer Key is provided by subject experts as per the Common Core curriculum. Grade 3 Eureka Math Solutions provided educates the primary school Kids on all Math concepts of the chapter efficiently. Eureka Math Grade 3 Textbook Answers makes it easy for kids to Grasp the Concepts as well as solve any problem from chapter Tests, Practice Tests, Performance tests, cumulative practice, etc.

Eureka Math Grade 3 Module 3 Lesson 15 Pattern Sheet Answer Key

Multiply

Answer:
9 x 1 = 9, 9 x 2 = 18, 9 x 3 = 27, 9 x 4 = 36, 9 x 5 = 45, 9 x 6 = 54, 9 x 7 = 63, 9 x 8 = 72, 9 x 9 = 81, 9 x 10 = 90, 9 x 5 = 45, 9 x 6 = 54, 9 x 5 = 45, 9 x 7 = 63, 9 x 5 = 45, 9 x 8 = 72, 9 x 5 = 45, 9 x 9 = 81, 9 x 5 = 45, 9 x 10 = 90, 9 x 6 = 54, 9 x 5 = 45, 9 x 6 = 54, 9 x 7 = 63, 9 x 6 = 54, 9 x 8 = 72, 9 x 6 = 54, 9 x 9 = 81, 9 x 6 = 54, 9 x 7 = 63, 9 x 6 = 54, 9 x 7 = 63, 9 x 8 = 72, 9 x 7 = 63, 9 x 9 = 81, 9 x 7 = 63, 9 x 8 = 72, 9 x 6 = 54, 9 x 8 = 72, 9 x 7 = 63, 9 x 8 = 72, 9 x 9 = 81, 9 x 9 = 81, 9 x 6 = 54, 9 x 9 = 81, 9 x 7 = 63, 9 x 9 = 81, 9 x 8 = 72, 9 x 9 = 81, 9 x 8 = 72, 9 x 6 = 54, 9 x 9 = 81, 9 x 7 = 63, 9 x 9 = 81, 9 x 6 = 54, 9 x 8 = 72, 9 x 9 = 81, 9 x 7 = 63, 9 x 6 = 54, 9 x 8 = 72.

Explanation:
In the above-given question,
given that,
multiply by 9.
9 x 1 = 9, 9 x 2 = 18, 9 x 3 = 27, 9 x 4 = 36, 9 x 5 = 45, 9 x 6 = 54, 9 x 7 = 63, 9 x 8 = 72, 9 x 9 = 81, 9 x 10 = 90, 9 x 5 = 45, 9 x 6 = 54, 9 x 5 = 45, 9 x 7 = 63, 9 x 5 = 45, 9 x 8 = 72, 9 x 5 = 45, 9 x 9 = 81, 9 x 5 = 45, 9 x 10 = 90, 9 x 6 = 54, 9 x 5 = 45, 9 x 6 = 54, 9 x 7 = 63, 9 x 6 = 54, 9 x 8 = 72, 9 x 6 = 54, 9 x 9 = 81, 9 x 6 = 54, 9 x 7 = 63, 9 x 6 = 54, 9 x 7 = 63, 9 x 8 = 72, 9 x 7 = 63, 9 x 9 = 81, 9 x 7 = 63, 9 x 8 = 72, 9 x 6 = 54, 9 x 8 = 72, 9 x 7 = 63, 9 x 8 = 72, 9 x 9 = 81, 9 x 9 = 81, 9 x 6 = 54, 9 x 9 = 81, 9 x 7 = 63, 9 x 9 = 81, 9 x 8 = 72, 9 x 9 = 81, 9 x 8 = 72, 9 x 6 = 54, 9 x 9 = 81, 9 x 7 = 63, 9 x 9 = 81, 9 x 6 = 54, 9 x 8 = 72, 9 x 9 = 81, 9 x 7 = 63, 9 x 6 = 54, 9 x 8 = 72.

Eureka Math Grade 3 Module 3 Lesson 15 Problem Set Answer Key

Write an equation, and use a letter to represent the unknown for Problems 1 – 6.

Question 1.
Mrs. Parson gave each of her grandchildren $9. She gave a total of $36. How many grandchildren does Mrs. Parson have?

Answer:
The number of grandchildren = 4.

Explanation:
In the above-given question,
given that,
Mrs. Parson gave each of her grandchildren $9.
she gave a total of $36.
9 / c = 36.
where c indicates children.
c = 36 / 9.
c = 4.

Question 2.
Shiva pours 27 liters of water equally into 9 containers. How many liters of water are in each container?

Answer:
The number of liters of water in each container = 3.

Explanation:
In the above-given question,
given that,
shiva pours 27 liters of water equally into 9 containers.
27 / w = 9.
w = 27 / 9.
where w indicates water.
w = 3.

Question 3.
Derek cuts 7 pieces of wire. Each piece is 9 meters long. What is the total length of the 7 pieces?

Answer:
The total length of the 7 pieces = 63.

Explanation:
In the above-given question,
given that,
Derek cuts 7 pieces of wire.
Each piece is 9 meters long.
7 x l = 9.
where l indicates length.
l = 7 x 9.
l = 63.

Question 4.
Aunt Deena and Uncle Chris share the cost of a limousine ride with their 7 friends. The ride cost a total of $63. If everyone shares the cost equally, how much does each person pay?

Answer:
The cost each person pays = 9.

Explanation:
In the above-given question,
given that,
Aunt Deena and Uncle Chris share the cost of a limousine ride with their 7 friends.
The ride cost a total of $63.
7 / r = 63.
where r indicates ride.
r = 63 / 7.
r = 9.

Question 5.
Cara bought 9 packs of beads. There are 10 beads in each pack. She always uses 30 beads to make each necklace. How many necklaces can she make if she uses all the beads?

Answer:
The number of necklaces = 3.

Explanation:
In the above-given question,
given that,
Cara bought 9 packs of beads.
There are 10 beads in each pack.
she always uses 30 beads to make each necklace.
9 / n = 90.
where c indicates children.
n = 90 / 9.
n = 30.

Question 6.
There are 8 erasers in a set. Damon buys 9 sets. After giving some erasers away, Damon has 35 erasers left. How many erasers did he give away?

Answer:
The number of erasers = 37.

Explanation:
In the above-given question,
given that,
There are 8 erasers in a set.
Damon buys 9 sets.
After giving some erasers away. Damon has 35 erasers left.
where e indicates eraser.
e = 72 / 9.
e = 8.

Eureka Math Grade 3 Module 3 Lesson 15 Exit Ticket Answer Key

Use a letter to represent the unknown.

Question 1.
Mrs. Aquino pours 36 liters of water equally into 9 containers. How much water is in each container?

Answer:
The water in each container = 4.

Explanation:
In the above-given question,
given that,
Mrs. Aquino pours 36 liters of water equally into 9 containers.
where c indicates container.
c = 36 / 9.
c = 4.

Question 2.
Marlon buys 9 packs of hot dogs. There are 6 hot dogs in each pack. After the barbeque, 35 hot dogs are left over. How many hot dogs were eaten?

Answer:
The number of hot dogs were eaten = 19.

Explanation:
In the above-given question,
given that,
Marlon buys 9 packs of hot dogs.
There are 6 hot dogs in each pack.
9 x 6 = 54.
where n indicates a number of hot dogs.
n = 54 – 35.
n = 19.
Eureka Math Grade 3 Module 3 Lesson 15 Homework Answer Key

Question 1.
The store clerk equally divides 36 apples among 9 baskets. Draw a tape diagram, and label the number of apples in each basket as a. Write an equation, and solve for a.

Answer:
The number of apples in each basket = 4.

Explanation:
In the above-given question,
given that,
The store clerk equally divides 36 apples among 9 baskets.
9 / n = 36.
where n indicates apples.
n = 36 / 9.
n = 4.

Question 2.
Elijah gives each of his friends a pack of 9 almonds. He gives away a total of 45 almonds. How many packs of almonds did he give away? Model using a letter to represent the unknown, and then solve.

Answer:
The number of packs of almonds = 5.

Explanation:
In the above-given question,
given that,
Elijah gives each of his friends a pack of 9 almonds.
He gives away a total of 45 almonds.
9 / p = 45.
where p indicates pack.
p = 45 / 9.
p = 5.

Question 3.
Denice buys 7 movies. Each movie costs $9. What is the total cost of 7 movies? Use a letter to represent the unknown. Solve.

Answer:
The total cost of 7 movies = 63.

Explanation:
In the above-given question,
given that,
Denice buys 7 movies.
Each movie costs $9.
7 x  m= 9.
where m indicates total movies.
m = 7 x 9.
m = 63.

Question 4.
Mr. Doyle shares 1 roll of bulletin board paper equally with 8 teachers. The total length of the roll is 72 meters. How much bulletin board paper does each teacher get?

Answer:
The bulletin board does each teacher get = 9 meters.

Explanation:
In the above-given question,
given that,
Mr. Doyle shares 1 roll of bulletin board paper equally with 8 teachers.
The total length of the roll is 72 meters.
72 / 8 = 9.

Question 5.
There are 9 pens in a pack. Ms. Ochoa buys 9 packs. After giving her students some pens, she has 27 pens left. How many pens did she give away?

Answer:
The number of pens she give = 54.

Explanation:
In the above-given question,
given that,
There are 9 pens in a pack.
Ms. Ochoa buys 9 packs.
After giving her students some pens, she has 27 pens left.
9 x 9 = 81.
81 – 27 = 54.

Question 6.
Allen buys 9 packs of trading cards. There are 10 cards in each pack. He can trade 30 cards for a comic book. How many comic books can he get if he trades all of his cards?

Answer:
The number of comic books can he get if he trades all of his cards = 60.

Explanation:
In the above-given question,
given that,
Allen buys 9 packs of trading cards.
There are 10 cards in each pack.
He can trade 30 cards for a comic book.
9 x 10 = 90.
90 – 30 = 60.

Teachers and students can find this Eureka Book Answer Key for Grade 3 more helpful in raising students’ scores and supporting teachers to educate the students. Learning activities are the best option to educate elementary school kids and make them understand the basic mathematical concepts like addition, subtraction, multiplication, division, etc. Grade 3 elementary school students can find these fun-learning exercises for all math concepts through the Eureka Book.

Engage NY Eureka Math 3rd Grade Module 3 Lesson 14 Answer Key

Students of Grade 3 can get a strong foundation by referring to the Eureka Math Book. It was developed by highly professional mathematics educators and the solutions prepared by them are in a concise manner for easy grasping. To achieve high scores in Grade 3, students need to solve all questions and exercises included in Eureka Grade 3 Book.

Eureka Math Grade 3 Module 3 Lesson 14 Pattern Sheet Answer Key

Multiply

Answer:
9 x 1 = 9, 9 x 2 = 18, 9 x 3 = 27, 9 x 4 = 36, 9 x 5 = 45, 9 x 1 = 9, 9 x 2 = 18, 9 x 1 = 9, 9 x 3 = 27, 9 x 1 = 9, 9 x 4 = 36, 9 x 1 = 9, 9 x 5 = 45, 9 x 1 = 9, 9 x 2 = 18, 9 x 3 = 27, 9 x 2 = 18, 9 x 4 = 36, 9 x 2 = 18, 9 x 5 = 45, 9 x 2 = 18, 9 x 1 = 9, 9 x 2 = 18, 9 x 3 = 27, 9 x 1 = 9, 9 x 3 = 27, 9 x 2 = 18, 9 x 3 = 27, 9 x 4 = 36, 9 x 3 = 27, 9 x 5 = 45, 9 x 3 = 27, 9 x 4 = 36, 9 x 1 = 9, 9 x 4 = 36, 9 x 2 = 18, 9 x 4 = 36, 9 x 3 = 27, 9 x 4 = 36, 9 x 5 = 45, 9 x 4 = 36, 9 x 5 = 45, 9 x 1 = 9, 9 x 5 = 45, 9 x 2 = 18, 9 x 5 = 45, 9 x 3 = 27, 9 x 5 = 45, 9 x 4 = 36, 9 x 2 = 18, 9 x 4 = 36, 9 x 3 = 27, 9 x 5 = 45, 9 x 3 = 27, 9 x 2 = 18, 9 x 4 = 36, 9 x 3 = 27, 9 x 5 = 45, 9 x 2 = 18, 9 x 4 = 36.

Explanation:
In the above-given question,
given that,
multiply by 9.
9 x 1 = 9, 9 x 2 = 18, 9 x 3 = 27, 9 x 4 = 36, 9 x 5 = 45, 9 x 1 = 9, 9 x 2 = 18, 9 x 1 = 9, 9 x 3 = 27, 9 x 1 = 9, 9 x 4 = 36, 9 x 1 = 9, 9 x 5 = 45, 9 x 1 = 9, 9 x 2 = 18, 9 x 3 = 27, 9 x 2 = 18, 9 x 4 = 36, 9 x 2 = 18, 9 x 5 = 45, 9 x 2 = 18, 9 x 1 = 9, 9 x 2 = 18, 9 x 3 = 27, 9 x 1 = 9, 9 x 3 = 27, 9 x 2 = 18, 9 x 3 = 27, 9 x 4 = 36, 9 x 3 = 27, 9 x 5 = 45, 9 x 3 = 27, 9 x 4 = 36, 9 x 1 = 9, 9 x 4 = 36, 9 x 2 = 18, 9 x 4 = 36, 9 x 3 = 27, 9 x 4 = 36, 9 x 5 = 45, 9 x 4 = 36, 9 x 5 = 45, 9 x 1 = 9, 9 x 5 = 45, 9 x 2 = 18, 9 x 5 = 45, 9 x 3 = 27, 9 x 5 = 45, 9 x 4 = 36, 9 x 2 = 18, 9 x 4 = 36, 9 x 3 = 27, 9 x 5 = 45, 9 x 3 = 27, 9 x 2 = 18, 9 x 4 = 36, 9 x 3 = 27, 9 x 5 = 45, 9 x 2 = 18, 9 x 4 = 36.

Eureka Math Grade 3 Module 3 Lesson 14 Problem Set Answer Key

Question 1.
a. Multiply. Then, add the tens digit and ones digit of each product.

Answer:
0 + 9 = 9.
1 + 8 = 9.
2 + 7 = 9.
3 + 6 = 9.
4 + 5 = 9.
5 + 4 = 9.
6 + 3 = 9.
7 + 2 = 9.
8 + 1 = 9.
9 + 0 = 9.

Explanation:
In the above-given question,
given that,
if we add ones and tens digits in table 9 it will get 9.
0 + 9 = 9.
1 + 8 = 9.
2 + 7 = 9.
3 + 6 = 9.
4 + 5 = 9.
5 + 4 = 9.
6 + 3 = 9.
7 + 2 = 9.
8 + 1 = 9.
9 + 0 = 9.

b.
What is the sum of the digits in each product? How can this strategy help you check your work with the nines facts?

Answer:
0 + 9 = 9.
1 + 8 = 9.
2 + 7 = 9.
3 + 6 = 9.
4 + 5 = 9.
5 + 4 = 9.
6 + 3 = 9.
7 + 2 = 9.
8 + 1 = 9.
9 + 0 = 9.

Explanation:
In the above-given question,
given that,
if we add ones and tens digits in table 9 it will get 9.
0 + 9 = 9.
1 + 8 = 9.
2 + 7 = 9.
3 + 6 = 9.
4 + 5 = 9.
5 + 4 = 9.
6 + 3 = 9.
7 + 2 = 9.
8 + 1 = 9.
9 + 0 = 9.

c. Araceli continues to count by nines. She writes, “90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198. Wow! The sum of the digits is still 9.” Is she correct? Why or why not?

Answer:
Yes, she is correct.

Explanation:
In the above-given question,
given that,
Araceli continues to count by nines.
she writes 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198.
0 + 9 = 9.
1 + 8 = 9.
1 + 1 + 7 = 9.
1 + 2 + 6 = 9.
1 + 3 + 5 = 9.
1 + 4 + 4 = 9.
1 + 5 + 3 = 9.
1 + 6 + 2 = 9.
1 + 7 + 1 = 9.
1 + 8 = 9.

Question 2.
Araceli uses the number of groups in 8 × 9 to help her find the product. She uses 8 – 1 = 7 to get the digit in the tens place and 10 – 8 = 2 to get the digit in the ones place. Use her strategy to find 4 more facts.

Answer:
8 x 9 = 72.

Explanation:
In the above-given question,
given that,
8 – 1 = 7.
10 – 8 = 2.
9 x 8 = 72.
9 – 2 = 7.
10 – 8 = 2.

Question 3.
Dennis calculates 9 × 8 by thinking about it as 80 – 8 = 72. Explain Dennis’ strategy.

Answer:
9 x 8 = 72.

Explanation:
In the above-given question,
given that,
Dennis calculates 9 x 8 = 72.
80 – 8 = 72.

Question 4.
Sonya figures out the answer to 7 × 9 by putting down her right index finger (shown). What is the answer? Explain how to use Sonya’s finger strategy.

Answer:
7 x 9 = 63.

Explanation:
In the above-given question,
given that,
Sonya figures out the answer is 63.
left hand 5 fingers + right-hand thumb finger.
6 and right hand 3 fingers.
63.

Eureka Math Grade 3 Module 3 Lesson 14 Exit Ticket Answer Key

Donald writes 6 × 9 = 54. Explain two strategies you could use to check his work.

Answer:
6 x 9 = 54.
9 x 6 = 54.

Explanation:
In the above-given question,
given that,
Donald writes 6 x 9 = 54.
we can write it as 9 x 6 = 54.

Eureka Math Grade 3 Module 3 Lesson 14 Homework Answer Key

Question 1.
a. Multiply. Then, add the digits in each product.

Answer:
0 + 9 = 9.
1 + 8 = 9.
2 + 7 = 9.
3 + 6 = 9.
4 + 5 = 9.
5 + 4 = 9.
6 + 3 = 9.
7 + 2 = 9.
8 + 1 = 9.
9 + 0 = 9.

Explanation:
In the above-given question,
given that,
if we add ones and tens digits in table 9 it will get 9.
0 + 9 = 9.
1 + 8 = 9.
2 + 7 = 9.
3 + 6 = 9.
4 + 5 = 9.
5 + 4 = 9.
6 + 3 = 9.
7 + 2 = 9.
8 + 1 = 9.
9 + 0 = 9.

b. What pattern did you notice in Problem 1(a)? How can this strategy help you check your work with nines facts?

Answer:
0 + 9 = 9.
1 + 8 = 9.
2 + 7 = 9.
3 + 6 = 9.
4 + 5 = 9.
5 + 4 = 9.
6 + 3 = 9.
7 + 2 = 9.
8 + 1 = 9.
9 + 0 = 9.

Explanation:
In the above-given question,
given that,
if we add ones and tens digits in table 9 it will get 9.
0 + 9 = 9.
1 + 8 = 9.
2 + 7 = 9.
3 + 6 = 9.
4 + 5 = 9.
5 + 4 = 9.
6 + 3 = 9.
7 + 2 = 9.
8 + 1 = 9.
9 + 0 = 9.

Question 2.
Thomas calculates 9 × 7 by thinking about it as 70 – 7 = 63. Explain Thomas’ strategy.

Answer:
9 x 7 = 63.

Explanation:
In the above-given question,
given that,
Dennis calculates 9 x 7 = 63.
70 – 7 = 63.

Question 3.
Alexia figures out the answer to 6 × 9 by lowering the thumb on her right hand (shown).

• What is the answer?
• Explain Alexia’s strategy.

Answer:
6 x 9 = 54.

Explanation:
In the above-given question,
given that,
Alexia figures out the answer is 54.
left hand 5 fingers + right-hand four fingers.
lowering the thumb on her right hand.
5 and 4.
6 x 9 = 54.

Question 4.
Travis writes 72 = 9 × 8. Is he correct? Explain at least 2 strategies Travis can use to check his work.

Answer:
8 x 9 = 72.
9 x 8 = 72.

Explanation:
In the above-given question,
given that,
Travis writes 8 x 9 = 72.
we can write it as 9 x 8 = 72.

Engage NY Eureka Math 3rd Grade Module 3 Lesson 13 Answer Key

Eureka Math Grade 3 Module 3 Lesson 13 Sprint Answer Key

Multiply or divide by 8

Answer:
2 x 8 = 16, 3 x 8 = 24, 4 x 8 = 32, 5 x 8 = 40, 1 x 8 = 8, 16 / 8 = 2, 24 / 8 = 3, 40 / 8 = 5, 8 / 1 = 8, 32 / 8 = 4, 6 x 8 = 48, 7 x 8 = 56, 8 x 8 = 64, 9 x 8 = 72, 10 x 8 = 80, 64 / 8 = 8, 56 / 8 = 7, 72 / 8 = 9, 48 / 8 = 6, 80 / 8 = 10, 5 x 8 = 40, 2 x 8 = 16, 5 x 8 = 40, 4 x 8 = 32, 3 x 8 = 24, 80 / 8 = 10, 40 / 8 = 5, 8 / 1 = 8, 16 / 8 = 2, 24 / 8 = 3, 6 x 8 = 48, 8 x 8 = 64, 56 / 8 = 7, 72 / 8 = 9, 48 / 8 = 6, 64 / 8 = 8, 11 x 8 = 88, 88 / 8 = 11, 12 x 8 = 96, 96 / 8 = 12, 14 x 8 = 112, 112 / 8 = 14.

Explanation:
In the above-given question,
given that,
multiply or divide by 8.
2 x 8 = 16, 3 x 8 = 24, 4 x 8 = 32, 5 x 8 = 40, 1 x 8 = 8, 16 / 8 = 2, 24 / 8 = 3, 40 / 8 = 5, 8 / 1 = 8, 32 / 8 = 4, 6 x 8 = 48, 7 x 8 = 56, 8 x 8 = 64, 9 x 8 = 72, 10 x 8 = 80, 64 / 8 = 8, 56 / 8 = 7, 72 / 8 = 9, 48 / 8 = 6, 80 / 8 = 10, 5 x 8 = 40, 2 x 8 = 16, 5 x 8 = 40, 4 x 8 = 32, 3 x 8 = 24, 80 / 8 = 10, 40 / 8 = 5, 8 / 1 = 8, 16 / 8 = 2, 24 / 8 = 3, 6 x 8 = 48, 8 x 8 = 64, 56 / 8 = 7, 72 / 8 = 9, 48 / 8 = 6, 64 / 8 = 8, 11 x 8 = 88, 88 / 8 = 11, 12 x 8 = 96, 96 / 8 = 12, 14 x 8 = 112, 112 / 8 = 14.

Multiply or divide by 8

Answer:
1 x 8 = 8, 2 x 8 = 16, 3 x 8 = 24, 4 x 8 = 32, 5 x 8 = 40, 24 / 8 = 3, 16 / 8 = 2, 32 / 8 = 4, 8 / 1 = 8, 40 / 8 = 5, 10 x 8 = 80, 6 x 8 = 48, 7 x 8 = 56, 8 x 8 = 64, 9 x 8 = 72, 56 / 8 = 7, 48 / 8 = 6, 64 / 8 = 8, 80 / 8 = 10, 72 / 8 = 9, 2 x 8 = 16, 5 x 8 = 40, 6 x 8 = 48, 10 x 8 = 80, 3 x 8 = 24, 16 / 8 = 2, 8 / 1 = 8, 80 / 8 = 10, 40 / 8 = 5, 24 / 8 = 3, 8 x 8 = 64, 4 x 8 = 32, 9 x 8 = 72, 7 x 8 = 56, 64 / 8 = 8, 72 / 8 = 9, 48 / 8 = 6, 56 / 8 = 7, 11 x 8 = 88, 88 / 8 = 11, 12 x 8 = 96, 96 / 8 = 12, 13 x 8 = 104, 104 / 8 = 13.

Explanation:
In the above-given question,
given that,
multiply or divide by 8.
1 x 8 = 8, 2 x 8 = 16, 3 x 8 = 24, 4 x 8 = 32, 5 x 8 = 40, 24 / 8 = 3, 16 / 8 = 2, 32 / 8 = 4, 8 / 1 = 8, 40 / 8 = 5, 10 x 8 = 80, 6 x 8 = 48, 7 x 8 = 56, 8 x 8 = 64, 9 x 8 = 72, 56 / 8 = 7, 48 / 8 = 6, 64 / 8 = 8, 80 / 8 = 10, 72 / 8 = 9, 2 x 8 = 16, 5 x 8 = 40, 6 x 8 = 48, 10 x 8 = 80, 3 x 8 = 24, 16 / 8 = 2, 8 / 1 = 8, 80 / 8 = 10, 40 / 8 = 5, 24 / 8 = 3, 8 x 8 = 64, 4 x 8 = 32, 9 x 8 = 72, 7 x 8 = 56, 64 / 8 = 8, 72 / 8 = 9, 48 / 8 = 6, 56 / 8 = 7, 11 x 8 = 88, 88 / 8 = 11, 12 x 8 = 96, 96 / 8 = 12, 13 x 8 = 104, 104 / 8 = 13.

Eureka Math Grade 3 Module 3 Lesson 13 Problem Set Answer Key

Question 1.
a. Skip-count by nine.
   9     , ___18____, __27_____,   36    , ____45___, ___54____, ___63____,   72    , ___81____, ____90___

Answer:
The missing numbers are 18 , 27, 36, 45, 54, 63, 72, 81, 90.

Explanation:
In the above-given question,
given that,
count by nine.
so the numbers are 18, 27, 36, 45, 54, 63, 72, 81, 90.

b. Look at the tens place in the count-by. What is the pattern?

Answer:
The tens place in the count-by is decreasing by 1.

Explanation:
In the above-given question,
given that,
18, 27, 36, 45, 54, 63, 72, 81, 90.
so the tens place in the count by is decreasing by 1.

c. Look at the ones place in the count-by. What is the pattern?

Answer:
The ones place in the count by is increasing by 1.

Explanation:
In the above-given question,
given that,
the numbers are
18, 27, 36, 45, 54, 63, 73, 81, 90.
so the ones place in the count by is increasing by 1.

Question 2.
Complete to make true statements.
a. 10 more than 0 is __10_____,
1 less is __9_____.
1 × 9 = ___9____

Answer:
10 more than 0 is 10.
1 less is 9.
1 x 9 = 9.

Explanation:
In the above-given question,
given that,
10 more than 0 is 10.
1 less is 9.
1 x 9 = 9.

b. 10 more than 9 is ___19____,
1 less is ___18____.
2 × 9 = ___18____

Answer:
10 more than 9 is 19.
1 less is 18.
2 x 9 = 18.

Explanation:
In the above-given question,
given that,
10 more than 9 is 19.
1 less is 18.
2 x 9 = 18.

c. 10 more than 18 is ___28____,
1 less is ___27____.
3 × 9 = ___27____

Answer:
10 more than 18 is 28.
1 less is 27.
3 x 9 = 27.

Explanation:
In the above-given question,
given that,
10 more than 18 is 28.
1 less is 27.
3 x 9 = 27.

d. 10 more than 27 is ___37____,
1 less is __36_____.
4 × 9 = ___36____

Answer:
10 more than 27 is 37.
1 less is 36.
4 x 9 = 36.

Explanation:
In the above-given question,
given that,
10 more than 27 is 37.
1 less is 36.
4 x 9 = 36.

e. 10 more than 36 is ___46____,
1 less is ___45____.
5 × 9 = ___45____

Answer:
10 more than 36 is 46.
1 less is 45.
5 x 9 = 45.

Explanation:
In the above-given question,
given that,
10 more than 36 is 46.
1 less is 45.
5 x 9 = 45.

f. 10 more than 45 is ___55____,
1 less is ____54___.
6 × 9 = ___54____

Answer:
10 more than 45 is 35.
1 less is 54.
6 x 9 = 54.

Explanation:
In the above-given question,
given that,
10 more than 45 is 55.
1 less is 54.
6 x 9 = 54.

g. 10 more than 54 is ___64____,
1 less is ___63____.
7 × 9 = ___63____

Answer:
10 more than 54 is 64.
1 less is 63.
7 x 9 = 63.

Explanation:
In the above-given question,
given that,
10 more than 54 is 64.
1 less is 63.
7 x 9 = 63.

h. 10 more than 63 is ___73____,
1 less is ____72___.
8 × 9 = ____72___

Answer:
10 more than 63 is 73.
1 less is 72.
8 x 9 = 72.

Explanation:
In the above-given question,
given that,
10 more than 63 is 73.
1 less is 72.
8 x 9 = 72.

i. 10 more than 72 is ___82____,
1 less is ___81____.
9 × 9 = ____81___

Answer:
10 more than 72 is 82.
1 less is 81.
9 x 9 = 81.

Explanation:
In the above-given question,
given that,
10 more than 72 is 82.
1 less is 81.
9 x 9 = 81.

j. 10 more than 81 is ____91___,
1 less is ____90___.
10 × 9 = ___90____

Answer:
10 more than  81 is 91.
1 less is 90.
10 x 9 = 90.

Explanation:
In the above-given question,
given that,
10 more than 81 is 91.
1 less is 90.
10 x 9 = 90.

Question 3.
a. Analyze the equations in Problem 2. What is the pattern?

Answer:
It is increasing by 10.

Explanation:
In the above-given question,
given that,
10 more than 0.
1 less than 10.
9.

b. Use the pattern to find the next 4 facts. Show your work.
11 × 9 =
12 × 9 =
13 × 9 =
14 × 9 =

Answer:
11 x 9 = 99.
12 x 9 = 108.
13 x 9 = 117.
14 x 9 = 126.

Explanation:
In the above-given question,
given that,
multiply by 9 with 11, 12, 13, 14.
11 x 9 = 99.
12 x 9 = 108.
13 x 9 = 117.
14 x 9 = 126.

c. Kent notices another pattern in Problem 2. His work is shown below. He sees the following:
The tens digit in the product is 1 less than the number of groups.
The ones digit in the product is 10 minus the number of groups.

Use Kent’s strategy to solve 6 × 9 and 7 × 9.

Answer:
6 x 9 = 54.
7 x 9 = 63.

Explanation:
In the above-given question,
given that,
6 x 9 = 54.
5 = 4 – 1.
4 = 10 – 6.
7 x 9 = 63.
6 = 7 – 1.
3 = 10 – 7.

d. Show an example of when Kent’s pattern doesn’t work.

Answer:
1 x 1 = 1.

Explanation:
In the above-given question,
given that,
Kent’s pattern doesn’t work = 1 x 1.
1 = 2 – 1.

Question 4.
Each equation contains a letter representing the unknown. Find the value of each unknown. Then, write the letters that match the answers to solve the riddle.

Answer:
a = 6.
o = 1.
s = 4.
g = 9.
d = 8.
e = 7.
n = 3.
t = 2.
i = 1.4.

Explanation:
In the above-given question,
given that,
the multiplication and division of unknowns.
a = 6.
o = 1.
s = 4.
g = 9.
d = 8.
e = 7.
n = 3.
t = 2.
i = 1.4.

How do you make one vanish?

Answer:

Eureka Math Grade 3 Module 3 Lesson 13 Exit Ticket Answer Key

Question 1.
6 × 9 = 54
What is 10 more than 54? ___64____
What is 1 less? ____63___
7 × 9 = ___63____

Answer:
10 more than 54 is 64.
1 less is 63.
7 x 9 = 63.

Explanation:
In the above-given question,
given that,
10 more than 54 is 64.
1 less is 63.
7 x 9 = 63.

What is 10 more than 72? __82_____
What is 1 less? ____81___
9 × 9 = ___81____

Answer:
10 more than 72 is 82.
1 less is 81.
9 x 9 = 81.

Explanation:
In the above-given question,
given that,
10 more than 72 is 82.
1 less is 81.
9 x 9 = 81.

Question 2.
Explain the pattern used in Problem 1.

Answer:
10 more than 63 is 73.
1 less is 72.
8 x 9 = 72.

Explanation:
In the above-given question,
given that,
10 more than 63 is 73.
1 less is 72.
8 x 9 = 72.

Eureka Math Grade 3 Module 3 Lesson 13 Homework Answer Key

Question 1.
a. Skip-count by nines down from 90.
  90    , ____81___,   72     , __63_____, ___54____, ____45___,   36     , ___27____, ___18____, ____9___

Answer:
The numbers are 90, 81, 72, 63, 54, 45, 36, 27, 18, 9.

Explanation:
In the above-given question,
given that,
count by nines down from 90.
90, 81, 72, 63, 54, 45, 36, 27, 18, 9.

b. Look at the tens place in the count-by. What is the pattern?

Answer:
The tens place in the count-by is increasing by 1.

Explanation:
In the above-given question,
given that,
90, 81, 72, 63, 54, 45, 36, 27, 18, 9.
The tens place in the count-by is increasing by 1.

c. Look at the ones place in the count-by. What is the pattern?

Answer:
The ones place in the count-by is decreasing by 1.

Explanation:
In the above-given question,
given that,
90, 81, 72, 63, 54, 45, 36, 27, 18, 9.
The ones place in the count-by is decreasing by 1.

Question 2.
Each equation contains a letter representing the unknown. Find the value of each unknown.

Answer:
a = 2.
m = 3.
e = 5.
f = 5.
d = 9.
w = 3 / 2.
s = 10.
k = 1.

Explanation:
In the above-given question,
given that,
the equations with unknowns are missing.
a = 2.
m = 3.
e = 5.
f = 5.
d = 9.
w = 3 / 2.
s = 10.
k = 1.

Question 3.
Solve.
a. What is 10 more than 0? __10__
What is 1 less? _9___
1 × 9 = _9___

Answer:
10 more than 0 is 10.
1 less is 9.
1 x 9 = 9.

Explanation:
In the above-given question,
given that,
10 more than 63 is 73.
1 less is 72.
8 x 9 = 72.

b. What is 10 more than 9? _19___
What is 1 less? __18__
2 × 9 = __18__

Answer:
10 more than 9 is 19.
1 less is 18.
2 x 9 = 18.

Explanation:
In the above-given question,
given that,
10 more than 9 is 19.
1 less is 18.
2 x 9 = 18.

c. What is 10 more than 18? __28__
What is 1 less? __27__
3 × 9 = _27___

Answer:
10 more than 18 is 28.
1 less is 27.
3 x 9 = 27.

Explanation:
In the above-given question,
given that,
10 more than 18 is 28.
1 less is 27.
3 x 9 = 27.

d. What is 10 more than 27? _37___
What is 1 less? __36__
4 × 9 = __36__

Answer:
10 more than 27 is 37.
1 less is 36.
4 x 9 = 36.

Explanation:
In the above-given question,
given that,
10 more than 27 is 37.
1 less is 36.
4 x 9 = 36.

e. What is 10 more than 36? __46__
What is 1 less? __45__
5 × 9 = __45__

Answer:
10 more than 36 is 46.
1 less is 45.
5 x 9 = 45.

Explanation:
In the above-given question,
given that,
10 more than 36 is 46.
1 less is 45.
5 x 9 = 45.

f. What is 10 more than 45? __55__
What is 1 less? __54__
6 × 9 = __54__

Answer:
10 more than 45 is 55.
1 less is 54.
6 x 9 = 54.

Explanation:
In the above-given question,
given that,
10 more than 45 is 55.
1 less is 54.
6 x 9 = 54.

g. What is 10 more than 54? __64__
What is 1 less? __63__
7 × 9 = __63__

Answer:
10 more than 54 is 64.
1 less is 63.
7 x 9 = 63.

Explanation:
In the above-given question,
given that,
10 more than 54 is 64.
1 less is 63.
7 x 9 = 63.

h. What is 10 more than 63? _73___
What is 1 less? __72__
8 × 9 = __72__

Answer:
10 more than 63 is 73.
1 less is 72.
8 x 9 = 72.

Explanation:
In the above-given question,
given that,
10 more than 63 is 73.
1 less is 72.
8 x 9 = 72.

i. What is 10 more than 72? _82___
What is 1 less? __81__
9 × 9 = __81__

Answer:
10 more than 72 is 82.
1 less is 81.
9 x 9 = 81.

Explanation:
In the above-given question,
given that,
10 more than 72 is 82.
1 less is 81.
9 x 9 = 81.

j. What is 10 more than 81? __91___
What is 1 less? __90___
10 × 9 = __90___

Answer:
10 more than 81 is 91.
1 less is 90.
10 x 9 = 90.

Explanation:
In the above-given question,
given that,
10 more than 81 is 91.
1 less is 90.
10 x 9 = 90.

Question 4.
Explain the pattern in Problem 3, and use the pattern to solve the next 3 facts.
11 × 9 = _99____
12 × 9 = __108___
13 × 9 = ___117__

Answer:
11 x 9 = 99.
12 x 9 = 108.
13 x 9 = 117.
Explanation:
In the above-given question,
given that,
multiply by 9 with 11, 12, 13.
11 x 9 = 99.
12 x 9 = 108.
13 x 9 = 117.