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Engage NY Eureka Math Kindergarten Module 2 Lesson 1 Answer Key

Eureka Math Kindergarten Module 2 Lesson 1 Problem Set Answer Key

Sort the shapes.

Answer:

Explanation:
In the above image the shapes with curve are to the left side of the table and the shapes without curve are to the right side of the table.

Eureka Math Kindergarten Module 2 Lesson 1 Homework Answer Key

Draw a line from the shape to its matching object.

Answer:

Explanation:
In the above picture the shapes are matched with the objects that are in that shape.

Engage NY Eureka Math 4th Grade Module 5 Lesson 3 Answer Key

Eureka Math Grade 4 Module 5 Lesson 3 Problem Set Answer Key

Question 1.
Decompose each fraction modeled by a tape diagram as a sum of unit fractions. Write the equivalent multiplication sentence. The first one has been done for you.
a.

Answer:
3/4 = 1/4 + 1/4 + 1/4.
3/4 = 3 x 1/4.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
3/4 = 1/4 + 1/4 + 1/4.
3/4 = 1/4 + 1 /4 + 1/4.
3/4 = 3 x 1/4.

b.

Answer:
2/5 = 1/5 + 1/5.
2/5 = 2 x 1/5.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
2/5 = 1/5 + 1/5.
2/5 = 1/5 + 1 /5.
2/5 = 2 x 1/5.

c.

Answer:
5/6 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6.
5/6 = 5 x 1/6.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
5/6 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6.
5/6 = 1/6 + 2 /6 + 1/6 + 1/6.
5/6 = 5/6 x 1/6.

d.

Answer:
6/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8 +1/8.
6/8 = 6/8 x 1/8.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
6/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8 +1/8.
6/8 = 1/8 + 2 /8 + 2/8 + 1/8.
6/8 = 6/8 x 1/8.

e.

Answer:
1 = 1/4 + 1/4 + 1/4 + 1/4.
1/4 = 1 x 1/4.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
1 = 1/4 + 1/4 + 1/4 + 1/4.
1 = 1/4 + 2/4 + 1/4.
1/4 = 1 x 1/4.

Question 2.
Write the following fractions greater than 1 as the sum of two products.
a.

Answer:
1 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.
1= 1 x 1/5.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
1 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.
1 = 1/5 + 2/5 + 1/5.
1 = 1 x 1/5.

b.

Answer:
1 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6.
1/6 = 1 x 1/6.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
1 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6.
1 = 1/6 x 1.
1/6 = 1 x 1/6.

Question 3.
Draw a tape diagram, and record the given fraction’s decomposition into unit fractions as a multiplication sentence.
a. \(\frac{4}{5}\)

Answer:
4/5 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.
4/5 = 4 x 1/5.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
4/5 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.
4/5 = 1/5 + 2/5 + 1/5.
4/5 = 4 x 1/5.

b. \(\frac{5}{8}\)

Answer:
5/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8.
5/8 = 5 x 1/8.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
5/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8.
5/8 = 1/8 + 2/8 + 2/8.
5/8 = 5 x 1/8.

c. \(\frac{7}{9}\)

Answer:
7/9 = 1/9 + 1/9 + 1/9 + 1/9 + 1/9 + 1/9 + 1/9.
7/9 = 7 x 1/9.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
7/9 = 1/9 + 1/9 + 1/9 + 1/9 + 1/9 + 1/9 + 1/9.
7/9 = 1/9 + 2/9 + 2/9 + 2/9.
7/9 = 7 x 1/9.

d. \(\frac{7}{4}\)

Answer:
7/4 = 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4.
7/4 = 7 x 1/4.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
7/4 = 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4.
7/4 = 1/4 + 2/4 + 2/4 + 2/4.
7/4 = 7 x 1/4.

e. \(\frac{7}{6}\)

Answer:
7/6 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6.
7/6 = 7 x 1/6.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
7/6 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6.
7/6 = 1/6 + 2/6 + 2/6 + 2/6.
7/6 = 7 x 1/6.

Eureka Math Grade 4 Module 5 Lesson 3 Exit Ticket Answer Key

Question 1.
Decompose each fraction modeled by a tape diagram as a sum of unit fractions. Write the equivalent multiplication sentence.
a.

Answer:
2/3 = 1/3 + 1/3.
2/3 = 2 x 1/3.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
2/3 = 1/3 + 1/3.
2/3 = 2 x 1/3.

b.

Answer:
1 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.
1 = 1 x 1/5.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
1 = 1/5 + 1/5.
1 = 1 x 1/5.

Question 2.
Draw a tape diagram, and record the given fraction’s decomposition into unit fractions as a multiplication sentence.
\(\frac{6}{9}\)

Answer:
6/9 = 1/9 + 1/9 + 1/9 + 1/9 + 1/9 + 1/9.
6/9 = 6 x 1/9.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
6/9 = 1/9 + 1/9 + 1/9 + 1/9 + 1/9 + 1/9.
6/9 = 1/9 + 2/9 + 2/9 + 1/9.
6/9 = 6 x 1/9.

Eureka Math Grade 4 Module 5 Lesson 3 Homework Answer Key

Question 1.
Decompose each fraction modeled by a tape diagram as a sum of unit fractions. Write the equivalent multiplication sentence. The first one has been done for you.
a.
b.

Answer:
3/4 = 1/4 + 1/4 + 1/4.
3/4 = 3 x 1/4.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
3/4 = 1/4 + 1/4 + 1/4.
3/4 = 1/4 + 2/4.
3/4 = 3 x 1/4.

c.

Answer:
4/5 = 1/5 + 1/5 + 1/5 + 1/5.
4/5 = 4 x 1/5.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
4/5 = 1/5 + 1/5 + 1/5 + 1/5.
4/5 = 1/5 + 2/5 + 1/5.
4/5 = 4 x 1/5.

d.

Answer:
5/6 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6.
5/6 = 5 x 1/6.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
5/6 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6.
5/6 = 1/6 + 2/6 + 2/6
5/6 = 5 x 1/6.

Question 2.
Write the following fractions greater than 1 as the sum of two products.
a.

Answer:
1 = 1/4 + 1/4 + 1/4 + 1/4.
1 = 1 x 1/4.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
1 = 1/4 + 2/4 + 1/4.
1 = 1 x 1/4.

b.

Answer:
1 = 1/8 + 1/8 + 1/8 + 1/8.
1 = 1 x 1/8.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
1 = 1/8 + 1/8 + 1/8 + 1/8.
1 = 1/8 + 2/8 + 1/8.
1 = 1 x 1/8.

Question 3.
Draw a tape diagram, and record the given fraction’s decomposition into unit fractions as a multiplication sentence.
a. \(\frac{3}{5}\)

Answer:
3/5 = 1/5 + 1/5 + 1/5.
3/5 = 3 x 1/5.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
3/5 = 1/5 + 1/5 + 1/5.
3/5 = 1/5 + 2/5.
3/5 = 3 x 1/5.

b. \(\frac{3}{8}\)

Answer:
3/8 = 1/8 + 1/8 + 1/8.
3/8 = 3 x 1/8.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
3/8 = 1/8 + 1/8 + 1/8.
3/8 = 1/8 + 2/8.
3/8 = 3 x 1/8.

c. \(\frac{5}{9}\)

Answer:
5/9 = 1/9 + 1/9 + 1/9 + 1/9 + 1/9.
5/9 = 5 x 1/9.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
5/9 = 1/9 + 1/9 + 1/9 + 1/9 + 1/9.
5/9 = 1/9 + 2/9 + 2/9.
5/9 = 5 x 1/9.

d. \(\frac{8}{5}\)

Answer:
8/5 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.
8/5 = 8 x 1/5.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
8/5 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.
8/5 = 1/5 + 2/5 + 3/5 + 2/5.
8/5 = 8 x 1/5.

e. \(\frac{12}{4}\)

Answer:
12/4 = 1/4 + 2/4+ 3/4 + 4/4 + 1/4.
12/4 = 12 x 1/4.

Explanation:
In the above-given question,
given that,
write the equivalent multiplication sentence.
12/4 = 1/4 + 2/4+ 3/4 + 4/4 + 1/4.
12/4 = 1/4 + 4/4 + 2/4 + 3/4 + 2/4.
12/4 = 12 x 1/4.

Engage NY Eureka Math 4th Grade Module 5 Lesson 4 Answer Key

Eureka Math Grade 4 Module 5 Lesson 4 Problem Set Answer Key

Question 1.
The total length of each tape diagram represents 1. Decompose the shaded unit fractions as the sum of smaller unit fractions in at least two different ways. The first one has been done for you.
a.

Answer:
1/2 = 1/4 + 1/4 .
1/2 = 1/8 + 1/8 + 1/8 + 1/8.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
1/2 = 1/4 + 1/4 .
1/2 = 1/8 + 1/8 + 1/8 + 1/8.

b.

Answer:
1/3 = 1/6 + 1/6.
1/3 = 1/12 + 1/12 + 1/12 + 1/12.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
1/3 = 1/6 + 1/6.
1/3 = 1/12 + 1/12 + 1/12 + 1/12.

c.

Answer:
1/4 = 1/8 + 1/8.
1/4 = 1/ 16+ 1/16 + 1/16 + 1/16.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
1/4 = 1/8 + 1/8.
1/4 = 1/ 16+ 1/16 + 1/16 + 1/16.

d.

Answer:
1/5 = 1/10 + 1/10.
1/5 = 1/ 15+ 1/15 + 1/15 + 1/15.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
1/5 = 1/10 + 1/10.
1/5 = 1/ 15+ 1/15 + 1/15 + 1/15.

Question 2.
The total length of each tape diagram represents 1. Decompose the shaded fractions as the sum of smaller unit fractions in at least two different ways.
a.

Answer:
2/3 = 4/6 + 4/6.
2/3 = 8/ 9+ 8/9 + 8/9 + 8/9.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
2/3 = 4/6 + 4/6.
2/3 = 8/9 + 8/9 + 8/9 + 8/9.

b.

Answer:
3/5 =6/10 + 6/10.
3/5 = 9/ 15+ 9/15 + 9/15 + 9/15.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
3/5 = 6/10 + 6/10.
3/5 = 9/ 15 + 9/15 + 9/15.

Question 3.
Draw and label tape diagrams to prove the following statements. The first one has been done for you.
a. \(\frac{2}{5}\) = \(\frac{4}{10}\)

Answer:
2/5 = 4/10 + 4/10.
2/5 = 8/ 20+ 8/20 + 8/20 + 8/20.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
2/5 = 4/10 + 4/10.
2/5 = 8/ 20+ 8/20 + 8/20 + 8/20

b. \(\frac{2}{6}\) = \(\frac{4}{12}\)

Answer:
2/6 = 4/12 + 4/12.
2/6 = 4/18 + 4/18 + 4/18 + 4/18.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
2/6 = 4/12 + 4/12.
2/6 = 4/18 + 4/18 + 4/18 + 4/18.

c. \(\frac{3}{4}\) = \(\frac{6}{8}\)

Answer:
3/4 = 6/8 + 6/8.
3/4 = 9/12 + 9/12 + 9/12 + 9/12.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
3/4 = 6/8 + 6/8.
3/4 = 9/12 + 9/12 + 9/12 + 9/12.

d. \(\frac{3}{4}\) = \(\frac{9}{12}\)

Answer:
3/4 = 6/8 + 6/8.
3/4 = 9/12 + 9/12 + 9/12 + 9/12.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
3/4 = 6/8 + 6/8.
3/4 = 9/12 + 9/12 + 9/12 + 9/12.

Question 4.
Show that \(\frac{1}{2}\) is equivalent to \(\frac{4}{8}\) using a tape diagram and a number sentence.

Answer:
1/2 = 1/4 + 1/4.
1/2 = 1/8 + 1/8 + 1/8 + 1/8 = 4/8.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
1/2 = 1/4 + 1/4.
1/2 = 1/8 + 1/8 + 1/8 + 1/8 = 4/8.

Question 5.
Show that \(\frac{2}{3}\) is equivalent to \(\frac{6}{9}\) using a tape diagram and a number sentence.

Answer:
2/3 = 4/6 + 4/6.
2/3 = 6/9 + 6/9 + 6/9 + 6/9 = 6/9.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
2/3 = 4/6 + 4/6.
2/3 = 6/9 + 6/9 + 6/9 + 6/9 = 6/9.

Question 6.
Show that \(\frac{4}{6}\) is equivalent to \(\frac{8}{12}\) using a tape diagram and a number sentence.

Answer:
4/6 = 8/12 + 8/12.
4/6 = 12/18 + 12/18.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
4/6 = 8/12 + 8/12.
4/6 = 12/18 + 12/18.

Engage NY Math 4th Grade Module 5 Lesson 4 Exit Ticket Answer Key

Question 1.
The total length of the tape diagram represents 1. Decompose the shaded unit fraction as the sum of smaller unit fractions in at least two different ways.

Answer:
1/6 = 1/12 + 1/12 .
1/6 = 1/18 + 1/18 + 1/18 + 1/18.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
1/6 = 1/12 + 1/12 .
1/6 = 1/18 + 1/18 + 1/18 + 1/18.

Question 2.
Draw a tape diagram to prove the following statement.
\(\frac{2}{3}\) = \(\frac{4}{6}\)

Answer:
2/3 = 4/6 + 4/6.
2/3 = 8/12 + 8/12 + 8/12 + 8/12.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
2/3 = 4/6 + 4/6.
2/3 = 8/12 + 8/12 + 8/12 + 8/12.

Eureka Math 4th Grade Module 5 Lesson 4 Homework Answer Key

Question 1.
The total length of each tape diagram represents 1. Decompose the shaded unit fractions as the sum of smaller unit fractions in at least two different ways. The first one has been done for you.
a.

Answer:
1/2 = 1/6 + 1/6 + 1/6.
1/2 = 1/10 + 1/10 + 1/10 + 1/10 + 1/10.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
1/2 = 1/6 + 1/6 + 1/6.
1/2 = 1/10 + 1/10 + 1/10 + 1/10 + 1/10.
b.

Answer:
1/4 = 1/8 + 1/8.
1/4 = 1/12 + 1/12 + 1/12 + 1/12.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
1/4 = 1/8 + 1/8.
1/4 = 1/12 + 1/12 + 1/12 + 1/12.

Question 2.
The total length of each tape diagram represents 1. Decompose the shaded fractions as the sum of smaller unit fractions in at least two different ways.
a.

Answer:
3/4 = 6/8 + 6/8.
3/4 = 9/12 + 9/12 + 9/12 + 9/12.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
3/4 = 6/8 + 6/8.
3/4 = 9/12 + 9/12 + 9/12 + 9/12

b.

Answer:
4/5 = 8/10 + 8/10.
4/5 = 12/15 + 12/15 + 12/15 + 12/15.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
4/5 = 8/10 + 8/10.
4/5 = 12/15 + 12/15 + 12/15 + 12/15.

c.

Answer:
4/6 = 8/12 + 8/12.
4/6 = 12/18 + 12/18 + 12/18 + 12/18.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
4/6 = 8/12 + 8/12.
4/6 = 12/18 + 12/18 + 12/18 + 12/18.

Question 3.
Draw tape diagrams to prove the following statements. The first one has been done for you.
a. \(\frac{2}{5}\) = \(\frac{4}{10}\)

Answer:
2/5 = 4/10 + 4/10.
2/5 = 4/10 + 4/10 + 4/10 + 4/10.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
2/5 = 4/10 + 4/10.
2/5 = 4/10 + 4/10 + 4/10 + 4/10.

b. \(\frac{3}{6}\) = \(\frac{6}{12}\)

Answer:
3/6 = 6/12 + 6/12.
3/6 = 12/24 + 12/24 + 12/24 + 12/24.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
3/6 = 6/12 + 6/12.
3/6 = 12/24 + 12/24 + 12/24 + 12/24.

c. \(\frac{2}{6}\) = \(\frac{6}{18}\)

Answer:
2/6 = 4/12 + 4/12.
2/6 = 6/18 + 6/18 + 6/18 + 6/18.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
2/6 = 4/12 + 4/12.
2/6 = 6/18 + 6/18 + 6/18 + 6/18.

d. \(\frac{3}{4}\) = \(\frac{12}{16}\)

Answer:
3/4 = 6/8 + 6/8.
3/4 = 12/16 + 12/16 + 12/16 + 12/16.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
3/4 = 6/8 + 6/8.
3/4 = 12/16 + 12/16 + 12/16 + 12/16.

Question 4.
Show that \(\frac{1}{2}\) is equivalent to \(\frac{6}{12}\) using a tape diagram and a number sentence.

Answer:
1/2 = 1/4 + 1/4.
1/2 = 1/8 + 1/8 + 1/8 + 1/8.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
1/2 = 1/4 + 1/4.
1/2 = 1/8 + 1/8 + 1/8 + 1/8

Question 5.
Show that \(\frac{2}{3}\) is equivalent to \(\frac{8}{12}\) using a tape diagram and a number sentence.

Answer:
2/3 = 4/6 + 4/6.
2/3 = 8/12 + 8/12 + 8/12 + 8/12.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
2/3 = 4/6 + 4/6.
2/3 = 8/12 + 8/12 + 8/12 + 8/12.

Question 6.
Show that \(\frac{4}{5}\) is equivalent to \(\frac{12}{15}\) using a tape diagram and a number sentence.

Answer:
4/5 = 8/10 + 8/10.
4/5 = 12/15 + 12/15 + 12/15 + 12/15.

Explanation:
In the above-given question,
given that,
shaded unit fraction as the sum of smaller unit fractions in at least two different ways.
4/5 = 8/10 + 8/10.
4/5 = 12/15 + 12/15 + 12/15 + 12/15.

Engage NY Eureka Math 4th Grade Module 5 Lesson 1 Answer Key

Eureka Math Grade 4 Module 5 Lesson 1 Problem Set Answer Key

Question 1.
Draw a number bond, and write the number sentence to match each tape diagram. The first one is done for you.
a.

Answer:
1 = 1/3 + 1/3 + 1/3.

Explanation:
In the above-given question,
given that,
total there are 3 boxes.
the 3 boxes are filled.
1 = 1/3 + 1/3 + 1/3.
b.

Answer:
4/5 = 1/5 + 2/5 + 1/5.

Explanation:
In the above-given question,
given that,
total there are 5 boxes.
the 4 boxes are filled.
4/5 = 1/5 + 2/5 + 1/5.

c.

Answer:
3/4 = 1/4 + 1/4 + 1/4.

Explanation:
In the above-given question,
given that,
total there are 4 boxes.
the 3 boxes are filled.
3/4 = 1/4 + 1/4 + 1/4.

d.

Answer:
4/6 = 2/6 + 2/6.

Explanation:
In the above-given question,
given that,
total there are 6 boxes.
the 4 boxes are filled.
4/6 = 2/6 + 2/6 .

e.

Answer:
6/8 = 2/8 + 2/8 + 2/8.

Explanation:
In the above-given question,
given that,
total there are 8 boxes.
the 6 boxes are filled.
6/8 = 2/8 + 2/8 + 2/8.

f.

Answer:
1 = 1/5 + 1/5 + 1/5.

Explanation:
In the above-given question,
given that,
total there are 5 boxes.
the 5 boxes are filled.
1 = 1/5 + 1/5 + 1/5 + 1/5.

g.

Answer:
1 = 1/5 + 2/5 + 3/5 + 1/5.

Explanation:
In the above-given question,
given that,
total there are 5 boxes.
the 5 boxes are filled.
1 = 1/5 + 2/5 + 3/5 +1/5.

h.

Answer:
1 = 1/11 + 2/11 + 2/11 + 4/11 +1/11 + 8/11.

Explanation:
In the above-given question,
given that,
total there are 11 boxes.
the 11 boxes are filled.
1 = 1/11 + 2/11 + 2/11 + 4/11 + 1/11 + 8/1.

Question 2.
Draw and label tape diagrams to model each decomposition.
a. 1 = \(\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}\)

Answer:
1 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6.

Explanation:
In the above-given question,
given that,
total there are 6 boxes.
the 6 boxes are filled.
1 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6.

b. \(\frac{4}{5}\) = \(\frac{1}{5}+\frac{2}{5}+\frac{1}{5}\)

Answer:
4/5 = 1/5 + 2/5 + 1/5.

Explanation:
In the above-given question,
given that,
total there are 5 boxes.
the 4 boxes are filled.
4/5 = 1/5 + 2/5 + 1/5.

c. \(\frac{7}{8}\) = \(\frac{3}{8}+\frac{3}{8}+\frac{1}{8}\)

Answer:
7/8 = 3/8 + 3/8 + 1/8.

Explanation:
In the above-given question,
given that,
total there are 8 boxes.
the 7 boxes are filled.
7/8 = 3/8 + 3/8 + 1/8.

d. \(\frac{11}{8}\) = \(\frac{7}{8}+\frac{1}{8}+\frac{3}{8}\)

Answer:
11/8 = 7/8 + 1/8 + 3/8.

Explanation:
In the above-given question,
given that,
total there are 11 boxes.
the 8 boxes are filled.
11/8 = 7/8 + 1/8 + 3/8.

e. \(\frac{12}{10}\) = \(\frac{6}{10}+\frac{4}{10}+\frac{2}{10}\)

Answer:
12/10 = 6/10 + 4/10 + 2/10.

Explanation:
In the above-given question,
given that,
total there are 12 boxes.
the 10 boxes are filled.
12/10 = 6/10 + 4/10 + 2/10.

f. \(\frac{15}{12}\) = \(\frac{8}{12}+\frac{3}{12}+\frac{4}{12}\)

Answer:
15/12 = 8/12 + 3/12 + 4/12.

Explanation:
In the above-given question,
given that,
total there are 15 boxes.
the 12 boxes are filled.
15/12 = 8/12 + 3/12 + 4/12.

g. 1\(\frac{2}{3}\) = 1 + \(\frac{2}{3}\)

Answer:
2/3 = 1 + 2/3.

Explanation:
In the above-given question,
given that,
total there are 3 boxes.
the 2 boxes are filled.
2/3 = 1 + 2/3.

h. 1\(\frac{5}{8}\) = 1 + \(\frac{1}{8}\) + \(\frac{1}{8}\) + \(\frac{3}{8}\)

Answer:
5/8 = 1 + 1/8 + 1/8 + 3/8.

Explanation:
In the above-given question,
given that,
total there are 8 boxes.
the 5 boxes are filled.
5/8 =1 + 1/8 + 1/8 + 3/8.

Eureka Math Grade 4 Module 5 Lesson 1 Exit Ticket Answer Key

Question 1.
Complete the number bond, and write the number sentence to match the tape diagram.

Answer:
1 = 1/4 + 1/4 + 1/4 + 1/4.

Explanation:
In the above-given question,
given that,
total there are 4 boxes.
the 4 boxes are filled.
1 = 1/4 + 1/4 + 1/4 + 1/4.

Question 2.
Draw and label tape diagrams to model each number sentence.
a. 1 = \(\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}\)

Answer:
1 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.

Explanation:
In the above-given question,
given that,
total there are 5 boxes.
the 5 boxes are filled.
1 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.

b. \(\frac{5}{6}\) = \(\frac{2}{6}+\frac{2}{6}+\frac{1}{6}\)

Answer:
5/6 = 2/6 + 2/6 + 1/6.

Explanation:
In the above-given question,
given that,
total there are 6 boxes.
the 5 boxes are filled.
5/6 = 2/6 + 2/6 + 1/6.

Eureka Math Grade 4 Module 5 Lesson 1 Homework Answer Key

Draw a number bond, and write the number sentence to match each tape diagram. The first one is done for you.

a.
b.

Answer:
2/4 = 1/4 + 1/4 .

Explanation:
In the above-given question,
given that,
total there are 4 boxes.
the 2 boxes are filled.
2/4 = 1/4 + 1/4 .

c.

Answer:
3/5 = 1/5 + 2/5.

Explanation:
In the above-given question,
given that,
total there are 5 boxes.
the 3 boxes are filled.
3/5 = 1/5 + 2/5.

d.

Answer:
6/7 = 3/7 + 2/7 + 1/7.

Explanation:
In the above-given question,
given that,
total there are 7 boxes.
the 6 boxes are filled.
6/7 = 3/7 + 2/7 + 1/7.

e.

Answer:
3/8 = 2/8 + 1/8 .

Explanation:
In the above-given question,
given that,
total there are 8 boxes.
the 3 boxes are filled.
3/8 = 2/8 + 1/8.

f.

Answer:
1 = 1/6 + 1/7.

Explanation:
In the above-given question,
given that,
total there are 7 boxes.
the 6 boxes are filled.
1 = 1/6 + 1/7.

g.

Answer:
1 = 3/6 + 2/6 + 1/6.

Explanation:
In the above-given question,
given that,
total there are 6 boxes.
the 6 boxes are filled.
1 = 3/6 + 2/6 + 1/6.

h.

Answer:
1 = 3/12 + 2/12 + 1/12 + 3/12 + 3/12.

Explanation:
In the above-given question,
given that,
total there are 12 boxes.
the 12 boxes are filled.
1 = 3/12 + 2/12 + 1/12 + 3/12 + 3/12.

Question 2.
Draw and label tape diagrams to match each number sentence.
a. \(\frac{5}{8}\) = \(\frac{2}{8}+\frac{2}{8}+\frac{1}{8}\)

Answer:
5/8 = 2/8 + 2/8 + 1/8.

Explanation:
In the above-given question,
given that,
total there are 8 boxes.
the 5 boxes are filled.
5/8 = 2/8 + 2/8 + 1/8.

b. \(\frac{12}{8}\) = \(\frac{6}{8}+\frac{2}{8}+\frac{4}{8}\)

Answer:
12/8 = 6/8 + 2/8 + 4/8.

Explanation:
In the above-given question,
given that,
total there are 12 boxes.
the 8 boxes are filled.
12/8 = 6/8 + 2/8 + 4/8.

c. \(\frac{11}{10}\) = \(\frac{5}{10}+\frac{5}{10}+\frac{1}{10}\)

Answer:
11/10 = 5/10 + 5/10 + 1/10.

Explanation:
In the above-given question,
given that,
total there are 11 boxes.
the 10 boxes are filled.
11/10 = 5/10 + 5/10 + 1/10.

d. \(\frac{13}{12}\) = \(\frac{7}{12}+\frac{1}{12}+\frac{5}{12}\)

Answer:
13/12 = 7/12 + 1/12 + 5/12.

Explanation:
In the above-given question,
given that,
total there are 13 boxes.
the 12 boxes are filled.
13/12 = 7/12 + 1/12 + 5/12.

e. 1\(\frac{1}{4}\) = 1 + \(\frac{1}{4}\)

Answer:
5/4 = 1 + 1/4.

Explanation:
In the above-given question,
given that,
total there are 5 boxes.
the 4 boxes are filled.
5/4 = 1 + 1/4.

f. 1\(\frac{2}{7}\) = 1 + \(\frac{2}{7}\)

Answer:
9/7 = 1 + 2/7.

Explanation:
In the above-given question,
given that,
total there are 9 boxes.
the 7 boxes are filled.
9/7 = 1 + 2/7.

Engage NY Eureka Math 5th Grade Module 2 End of Module Assessment Answer Key

Eureka Math Grade 5 Module 2 End of Module Assessment Task Answer Key

Question 1.
Express the missing divisor using a power of 10. Explain your reasoning using a place value model.
a. 5.2 ÷ __100___ = 0.052

Answer:
5.2/100 = 0.052.

Explanation:
In the above-given question,
given that,
Express the missing divisor using a power of 10.
10 x 10 = 100.
5.2/100.
52/10/100.
0.052.

b. 7,650 ÷ ____1000_______ = 7.65

Answer:
7650/1000 = 7.65.

Explanation:
In the above-given question,
given that,
Express the missing divisor using a power of 10.
100 x 10 = 1000.
7650/1000.
7.65.

Question 2.
Estimate the quotient by rounding the expression to relate to a one-digit fact. Explain your thinking in the space below.
a. 432 ÷ 73 ≈ ___60________

Answer:
432/73 = 60.

Explanation:
In the above-given question,
given that,
432 / 73 = 5.917.
432/73.
5.917 = 60.

b. 1,275 ÷ 588 ≈ __2_________

Answer:
1275/588 = 2.

Explanation:
In the above-given question,
given that,
1275/588.
1275/588.
2.1683.
2.1683 = 2.

Question 3.
Generate and solve another division problem with the same quotient and remainder as the two problems below. Explain your strategy for creating the new problem.

Answer:
30/6 = 12.
27/5 = 12.

Explanation:
In the above-given question,
given that,
30/6 = 12.
6 x 3 = 18.
30-18 = 12.
27/5 = 12.
5 x 3 = 15.
27-15 = 12.

Question 4.
Sarah says that 26 ÷ 8 equals 14 ÷ 4 because both are “3 R2.” Show her mistake using decimal division.

Answer:
30/6 = 12.
27/5 = 12.

Explanation:
In the above-given question,
given that,
30/6 = 12.
6 x 3 = 18.
30-18 = 12.
27/5 = 12.
5 x 3 = 15.
27-15 = 12.

Question 5.
A rectangular playground has an area of 3,392 square meters. If the width of the rectangle is 32 meters, find the length.

Answer:
The length of the rectangular playground = 106 m.

Explanation:
In the above-given question,
given that,
A rectangular playground has an area of 3392 square meters.
width of the rectangle = 32 m.
3392 = l x 32.
l = 3392/32.
l = 106.

Question 6.
A baker uses 5.5 pounds of flour daily.
a. How many ounces of flour will he use in two weeks? Use words, numbers, or pictures to explain your thinking. (1 lb = 16 oz)

Answer:
The ounces of flour will he use in two weeks = 77 ounces.

Explanation:
In the above-given question,
given that,
A baker uses 5.5 pounds of flour daily.
5.5 x 14.
77 ounces.
The number of ounces of flour will he use in two weeks = 77 ounces.

b. The baker’s recipe for a loaf of bread calls for 12 ounces of flour. If he uses all of his flour to make loaves of bread, how many full loaves can he bake in two weeks?

Answer:
The full loaves can he bake in two weeks = 168.

Explanation:
In the above-given question,
given that,
the baker’s recipe for a loaf of bread calls for 12 ounces of flour.
14 x 12.
168.

c. The baker sends all his bread to one store. If he can pack up to 15 loaves of bread in a box for shipping, what is the minimum number of boxes required to ship all the loaves baked in two weeks? Explain your reasoning.

Answer:
The minimum number of boxes required to ship all the loaves = 210.

Explanation:
In the above-given question,
given that,
the baker sends all his bread to one store.
15 x 14.
210.
so the minimum number of boxes required to ship all the loaves = 210.

d. The baker pays $0.80 per pound for sugar and $1.25 per pound for butter. Write an expression that shows how much the baker will spend if he buys 6 pounds of butter and 20 pounds of sugar.

Answer:
The baker will spend if he buys 6 pounds of butter and 20 pounds of sugar =

Explanation:
In the above-given question,
given that,
The baker pays $0.80 per pound for sugar and $1.25 per pound of butter.
6 x 0.80 = $4.8.
20 x 1.25 = $25.

e. Chocolate sprinkles cost as much per pound as sugar. Find \(\frac{1}{10}\) the baker’s total cost for 100 pounds of chocolate sprinkles. Explain the number of zeros and the placement of the decimal in your answer using a place value chart.

Answer:
1/10 = 0.1.

Explanation:
In the above-given question,
given that,
Chocolate sprinkles cost as much per pound as sugar.
1/10.
0.1.

Engage NY Eureka Math 5th Grade Module 2 Mid Module Assessment Answer Key

Eureka Math Grade 5 Module 2 Mid Module Assessment Task Answer Key

Question 1.
Fill in the chart.

Answer:
a. 5000.

Explanation:
In the above-given question,
given that,
50 times the sum of 64 and 36.
50 x (64 + 36).
50 x (100).
5000.

Answer:
b. 100.

Explanation:
In the above-given question,
given that,
Divide the difference between 1,200 and 700 by 5
1200 – 700/5.
500/5.
100.

Answer:
c. 300.

Explanation:
In the above-given question,
given that,
The sum of 3 fifteens and 17 fifteens
(3 x 15) + (17 x 15).
45 + 255
300.

Answer:
d. 300.

Explanation:
In the above-given question,
given that,
15 times the sum of 14 and 6
15 x (14 + 6).
15 x (20).
300.

Answer:
e. 2950.

Explanation:
In the above-given question,
given that,
10 times the sum of 250 and 45
10 x (250 + 45).
10 x (295).
2950.

Answer:
f.14000.

Explanation:
In the above-given question,
given that,
14 times the sum of 440 and 560
14 x (440 + 560).
14 x (1000).
14000.

Question 2.
Compare the two expressions using < , > , or = . For each, explain how you can determine the answer without calculating.
a. 100 × 8 25 × (4 × 9)

Answer:
100 x 8  > 25 x (4 x 9)

Explanation:
In the above-given question,
given that,
100 x 8 = 800.
25 x (4 x 9).
25 x (36).
25 x 36 = 72.
so 100 > 72.

b. 48 × 12 50 twelves – 3 twelves

Answer:
48 x 12 > 50 twelves – 3 twelves.

Explanation:
In the above-given question,
given that,
48 x 12 = 576.
50 x 12 = 600.
3 x 12 = 36.
600 – 36.
564.
576 > 564.

c. 24 × 36 18 twenty-fours, doubled

Answer:
24 x 36  <  18 twenty-fours, doubled.

Explanation:
In the above-given question,
given that,
24 x 36 = 864.
18 x 24 = 432.
432 x 432 = 186624.
864 < 186624.

Question 3.
Solve. Use words, numbers, or pictures to explain how your answers to Parts (a) and (b) are related.
a. 25 × 30 = ____750_______

Answer:
25 x 30 = 750.

Explanation:
In the above-given question,
given that,
25 x 30.
750.

b. 2.5 × 30 = _____2.5______ tenths × 30 = _____75______

Answer:
2.5 x 30 = 75.

Explanation:
In the above-given question,
given that,
2.5 x 30.
25/10 = 2.5.
2.5/30 = 75.

Question 4.
Multiply using the standard algorithm. Show your work below each problem. Write the product in the blank.
a. 514 × 33 = ____16962_______

Answer:
514 x 33 = 16962.

Explanation:
In the above-given question,
given that,
514 x 33
16962.

b. 546 × 405 = __2,21,130_________

Answer:
546 x 405 = 2,21,130.

Explanation:
In the above-given question,
given that,
546 x 405.
2,21,130.

Question 5.
For a field trip, the school bought 47 sandwiches for $4.60 each and 39 bags of chips for $1.25 each. How much did the school spend in all?

Answer:
The school spending in all = $264.95.

Explanation:
In the above-given question,
given that,
For a field trip, the school bought 47 sandwiches for $4.60 each and 39 bags of chips for $1.25 each.
47 x $4.60 = 216.2.
39 x $1.25 = 48.75.
216.2 + 48.75 = 264.95.

Question 6.
Jeanne makes hair bows to sell at the craft fair. Each bow requires 1.5 yards of ribbon.
a. At the fabric store, ribbon is sold by the foot. If Jeanne wants to make 84 bows, how many feet of ribbon must she buy? Show all your work.

Answer:
The number of feet of ribbon must she buy = 126 feet.

Explanation:
In the above-given question,
given that,
Jeanne makes hair bows to sell at the craft fair.
Each bow requires 1.5 yards of ribbon.
84 x 1.5.
126.

b. If the ribbon costs 10¢ per foot, what is the total cost of the ribbon in dollars? Explain your reasoning, including how you decided where to place the decimal.

Answer:
The total cost of ribbon in dollars = 0.1.

Explanation:
In the above-given question,
given that,
If the ribbon costs 10 cents per foot.
1 cents = 0.01 dollar.
10 x 0.01 = 0.1$
the total cost of the ribbon = 0.1.

c. A manufacturer is making 1,000 times as many bows as Jeanne to sell in stores nationwide. Write an expression using exponents to show how many yards of ribbon the manufacturer will need. Do not calculate the total.

Answer:
The number of yards of ribbon the manufacturer will need = 1500 yards.

Explanation:
In the above-given question,
given that,
A manufacturer is making 1000 times as many bows.
1000 x 1.5.
1500 yards.

Engage NY Eureka Math 5th Grade Module 2 Lesson 29 Answer Key

Eureka Math Grade 5 Module 2 Lesson 29 Problem Set Answer Key

Solve.

Question 1.
Lamar has 1,354.5 kilograms of potatoes to deliver equally to 18 stores. 12 of the stores are in the Bronx. How many kilograms of potatoes will be delivered to stores in the Bronx?

Answer:
The kilograms of potatoes will be delivered to stores in the Bronx = 225.75 kg.

Explanation:
In the above-given question,
given that,
Lamar has 1,354.5 kilograms of potatoes to deliver equally to 18 stores.
12 of the stores are in the Bronx.
18 – 12 = 6.
1354.5/6.
225.75 kgs.
the kilograms of potatoes will be delivered to stores in the Bronx = 225.75 kg.

Question 2.
Valerie uses 12 fluid oz of detergent each week for her laundry. If there are 75 fluid oz of detergent in the bottle, in how many weeks will she need to buy a new bottle of detergent? Explain how you know.

Answer:
The number of weeks will she need to buy a new bottle of detergent = 150.

Explanation:
In the above-given question,
given that,
Valerie uses 12 fluid oz of detergent each week for her laundry.
if there are 75 fluid oz of detergent in the bottle.
12 x 7 = 54.
75 x 12 = 150.

Question 3.
The area of a rectangle is 56.96 m2. If the length is 16 m, what is its perimeter?

Answer:
The perimeter of rectangle = 39.12 m.

Explanation:
In the above-given question,
given that,
area of the rectangle = 56.96 sq m.
length = 16m
56.96/16 = 3.56 m
perimeter = 2 x (l + w).
perimeter = 2 x (16 + 3.56)
perimeter = 2 x 19.56.
p = 39.12 m.

Question 4.
A city block is 3 times as long as it is wide. If the distance around the block is 0.48 kilometers, what is the area of the block in square meters?

Answer:
The area of the block in sq meters = 1.44 sq m.

Explanation:
In the above-given question,
given that,
A city block is 3 times as long as it is wide.
if the distance around the block is 0.48 kilometers.
area = l x b.
area = 0.48 x 3.
area = 1.44 sq m.

Eureka Math Grade 5 Module 2 Lesson 29 Exit Ticket Answer Key

Solve.
Hayley borrowed $1,854 from her parents. She agreed to repay them in equal installments throughout the next 18 months. How much will Hayley still owe her parents after a year?

Answer:
Hayley still owes her parents after a year = $103.

Explanation:
In the above-given question,
given that,
Hayley borrowed $1854 from her parents.
she agreed to repay them in equal installments throughout the next 18 months.
$1854/18.
103$.

Eureka Math Grade 5 Module 2 Lesson 29 Homework Answer Key

Solve.

Question 1.
Michelle wants to save $150 for a trip to the Six Flags amusement park. If she saves $12 each week, how many weeks will it take her to save enough money for the trip?

Answer:
The number of weeks will it take her to save enough money for the trip = $13.

Explanation:
In the above-given question,
given that,
Michelle wants to save $150 for a trip to the Six Flags amusement park.
if she saves $12 each week.
13 weeks.
12 x 13.
$156.

Question 2.
Karen works for 85 hours throughout a two-week period. She earns $1,891.25 throughout this period. How much does Karen earn for 8 hours of work?

Answer:
The Karen earn for 8 hours of work = $236.40.

Explanation:
In the above-given question,
given that,
Karen works for 85 hours throughout a two-week period.
she earns $1,891.25 throughout this period.
1891.25/8.
236.40$.

Question 3.
The area of a rectangle is 256.5 m2. If the length is 18 m, what is the perimeter of the rectangle?

Answer:
The perimeter of rectangle = 64.5 m.

Explanation:
In the above-given question,
given that,
area of the rectangle = 56.96 sq m.
length = 18m
256.5/18 = 14.25 m
perimeter = 2 x (l + w).
perimeter = 2 x (18 + 14.25)
perimeter = 2 x 32.25.
p = 64.5 m.

Question 4.
Tyler baked 702 cookies. He sold them in boxes of 18. After selling all of the boxes of cookies for the same amount each, he earned $136.50. What was the cost of one box of cookies?

Answer:
The cost of one box of cookies = $7.58.

Explanation:
In the above-given question,
given that,
Tyler baked 702 cookies.
he sold them in boxes of 18.
After selling all of the boxes of cookies for the same amount each he earned $136.50.
136.50/18.
7.58.
the cost of one box of cookies = $7.58.

Question 5.
A park is 4 times as long as it is wide. If the distance around the park is 12.5 kilometers, what is the area of the park?

Answer:
The area of the park = 50 km.

Explanation:
In the above-given question,
given that,
A park is 4 times as long as it is wide.
If the distance around the park is 12.5 km.
12.5 + 12.5 + 12.5 + 12.5.
50 km.
the area of the park = 50km.

Engage NY Eureka Math 5th Grade Module 2 Lesson 28 Answer Key

Eureka Math Grade 5 Module 2 Lesson 28 Sprint Answer Key

A
Divide Decimals by Multiples of 10

Answer:
6/10 = 0.6, 6/20 = 0.3, 6/60 = 0.1, 8/10 = 0.8, 8/40 = 0.2, 8/20 = 0.4, 4/10 = 0.4, 4/20 = 0.2, 4/40 = 0.1, 9/3 = 3, 9/30 = 0.3, 12/3 = 4, 12/30 = 0.4, 12/40 = 0.3, 12/60 = 0.2, 12/20 = 0.6, 15/3 = 5, 15/30 = 0.5, 15/50 = 0.3, 15/50 = 0.3, 18/30 = 0.6, 24/30 = 0.8, 16/40 = 0.4.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 10.
6/10 = 0.6, 6/20 = 0.3, 6/60 = 0.1, 8/10 = 0.8, 8/40 = 0.2, 8/20 = 0.4, 4/10 = 0.4, 4/20 = 0.2, 4/40 = 0.1, 9/3 = 3, 9/30 = 0.3, 12/3 = 4, 12/30 = 0.4, 12/40 = 0.3, 12/60 = 0.2, 12/20 = 0.6, 15/3 = 5, 15/30 = 0.5, 15/50 = 0.3, 15/50 = 0.3, 18/30 = 0.6, 24/30 = 0.8, 16/40 = 0.4.

Answer:
25/50 = 0.5, 2.5/50 = 0.05, 4.5/50 = 0.09, 4.5/90 = 0.05, 0.45/90 = 0.005, 0.45/50 = 0.009, 0.24/60 = 0.004, 0.63/90 = 0.007, 0.48/80 = 0.006, 0.49/70 = 0.007, 6/30 = 0.2, 14/70 = 0.2, 72/90 = 0.8, 6.4/80 = 0.08, 0.48/40 = 0.012, 0.36/30 = 0.012, 0.55/50 = 0.011, 1.36/30 = 0.045, 2.04/60 = 0.034, 4.48/70 = 0.064, 6.16/80 = 0.077, 5.22/90 = 0.058.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 10.
25/50 = 0.5, 2.5/50 = 0.05, 4.5/50 = 0.09, 4.5/90 = 0.05, 0.45/90 = 0.005, 0.45/50 = 0.009, 0.24/60 = 0.004, 0.63/90 = 0.007, 0.48/80 = 0.006, 0.49/70 = 0.007, 6/30 = 0.2, 14/70 = 0.2, 72/90 = 0.8, 6.4/80 = 0.08, 0.48/40 = 0.012, 0.36/30 = 0.012, 0.55/50 = 0.011, 1.36/30 = 0.045, 2.04/60 = 0.034, 4.48/70 = 0.064, 6.16/80 = 0.077, 5.22/90 = 0.058.

Question 1.

6 ÷ 10 = 0.6

Answer:
6/10 = 0.6.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 10.
6/10 = 0.6.

Question 2.
6 ÷ 20 = 0.3

Answer:
6/20 = 0.3.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 20.
6/20 = 0.3.

Question 3.
6 ÷ 60 = 0.1

Answer:
6/60 = 0.1.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 60.
6/60 = 0.1.

Question 4.
8 ÷ 10 = 0.8

Answer:
8/10 = 0.8.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 10.
8/10 = 0.8.

Question 5.
8 ÷ 40 = 0.2

Answer:
8/40 = 0.2.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 40.
8/40 = 0.2.

Question 6.
8 ÷ 20 = 0.4

Answer:
8/20 = 0.4.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 20.
8/20 = 0.4.

Question 7.
4 ÷ 10 = 0.4

Answer:
4/10 = 0.4.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 10.
4/10 = 0.4.

Question 8.
4 ÷ 20 = 0.2

Answer:
4/20 = 0.2.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 20.
4/20 = 0.2.

Question 9.
4 ÷ 40 = 0.1

Answer:
4/40 = 0.1.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 40.
4/40 = 0.1.

Question 10.
9 ÷ 3 = 3

Answer:
9/3 = 3.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 3.
9/3 = 3.

Question 11.
9 ÷ 30 = 0.3

Answer:
9/30 = 0.3.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 30.
9/30 = 0.3.

Question 12.
12 ÷ 3 = 4.

Answer:
12/3 = 4.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 3.
12/3 = 4.

Question 13.
12 ÷ 30 = 0.4

Answer:
12/30 = 0.4.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 30.
12/30 = 0.4.

Question 14.
12 ÷ 40 = 0.3.

Answer:
12/40 = 0.3.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 40.
12/40 = 0.3.

Question 15.
12 ÷ 60 = 0.2.

Answer:
12/60 = 0.2.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 60.
12/60 = 0.2.

Question 16.
12 ÷ 20 = 0.6

Answer:
12/20 = 0.6.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 20.
12/20 = 0.6.

Question 17.
15 ÷ 3 = 5

Answer:
15/3 = 5.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 3.
15/3 = 5.

Question 18.
15 ÷ 30 = 0.5.

Answer:
15/30 = 0.5.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 30.
15/30 = 0.5.

Question 19.
15 ÷ 50 = 0.3

Answer:
15/50 = 0.3.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 50.
15/50 = 0.3.

Question 20.
18 ÷ 30 = 0.6

Answer:
18/30 = 0.6.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 30.
18/30 = 0.6.

Question 21.
24 ÷ 30 = 0.8

Answer:
24/30 = 0.8.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 30.
24/30 = 0.8.

Question 22.
16 ÷ 40 = 0.4.

Answer:
16/40 = 0.4.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 40.
16/40 = 0.4.

Question 23.
25 ÷ 50 = 0.5

Answer:
25/50 = 0.5.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 50.
25/50 = 0.5.

Question 24.
2.5 ÷ 50 = 0.05

Answer:
2.5/50 = 0.05.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 50.
2.5/50 = 0.05.

Question 25.
4.5 ÷ 50 = 0.09

Answer:
4.5/50 = 0.09.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 50.
4.5/50 = 0.09.

Question 26.
4.5 ÷ 90 = 0.05

Answer:
4.5/90 = 0.05.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 90.
4.5/90 = 0.05.

Question 27.
0.45 ÷ 90 = 0.005

Answer:
0.45/90 = 0.005.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 90.
0.45/90 = 0.005.

Question 28.
0.45 ÷ 50 = 0.009

Answer:
0.45/50 = 0.009.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 50.
0.45/50 = 0.009.

Question 29.
0.24 ÷ 60 = 0.006

Answer:
0.24/60 = 0.006.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 60.
0.24/60 = 0.006.

Question 30.
0.63 ÷ 90 = 0.007

Answer:
0.63/90 = 0.007.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 90.
0.63/90 = 0.007.

Question 31.
0.48 ÷ 80 = 0.006.

Answer:
0.48/80 = 0.006.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 80.
0.48/80 = 48/100/80.
48/100 = 0.48.
0.48/80 = 0.006.

Question 32.
0.49 ÷ 70 = 0.007.

Answer:
0.49/70 = 0.007.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 70.
0.49/70 = 49/100/70.
49/100 = 0.49.
0.49/70 = 0.007.

Question 33.
6 ÷ 30 = 0.2.

Answer:
6/30 = 0.2.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 80.
6/30 = 6/30.
6/30 = 0.2.

Question 34.
14 ÷ 70 = 0.2.

Answer:
14/70 = 0.2.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 70.
14/70 = 14/70.
14/70 = 0.2.

Question 35.
72 ÷ 90 = 0.8.

Answer:
72/90 = 0.8.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 90.
72/90 = 72/90.
72/90 = 0.8.

Question 36.
6.4 ÷ 80 = 0.08.

Answer:
6.4/80 = 0.08.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 80.
6.4/80 = 640/10/80.
640/10 = 64.
64/80 = 0.008.

Question 37.
0.48 ÷ 40 = 0.012

Answer:
0.48/40 = 0.012.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 40.
0.48/40 = 48/100/40.
48/100 = 0.48.
0.48/40 = 0.012.

Question 38.
0.36 ÷ 30 = 0.012.

Answer:
0.36/30 = 0.012.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 30.
0.36/30 = 36/100/30.
36/100 = 0.36.
0.36/30 = 0.012.

Question 39.
0.55 ÷ 50 = 0.011.

Answer:
0.55/50 = 0.011.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 50.
0.55/50 = 55/100/50.
55/100 = 0.55.
0.55/50 = 0.011.

Question 40.
1.36 ÷ 40 = 0.034.

Answer:
1.36/40 = 0.034.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 40.
1.36/40 = 136/100/40.
136/100 = 1.36.
1.36/40 = 0.034.

Question 41.
2.04 ÷ 60 = 0.034.

Answer:
2.04/60 = 0.034.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 60.
2.04/60 = 204/100/40.
204/100 = 2.04.
2.04/60 = 0.034.

Question 42.
4.48 ÷ 70 = 6.4.

Answer:
4.48/70 = 6.4.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 70.
4.48/70 = 448/70/70.
448/70 = 4.48.
4.48/70 = 6.4.

Question 43.
6.16 ÷ 80 = 0.077.

Answer:
6.16/80 = 0.077.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 80.
6.16/80 = 616/100/80.
616/100 = 6.16.
6.16/80 = 0.077.

Question 44.
5.22 ÷ 90 = 0.058.

Answer:
5.22/90 = 0.058.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 90.
5.22/90 = 522/100/90.
522/100 = 5.22.
5.22/40 = 0.058.

B
Divide Decimals by Multiples of 10

Answer:
4/10 = 0.4, 4/20 = 0.2, 4/40 = 0.1, 8/10 = 0.8, 8/20 = 0.4, 8/40 = 0.2, 9/10 = 0.9, 9/30 = 0.3, 9/90 = 0.1, 6/2 = 3, 6/20 = 0.3, 12/2 = 6, 12/20 = 0.6, 12/30 = 0.4, 12/40 = 0.3, 12/60 = 0.2, 15/5 = 3, 15/50 = 0.3, 15/30 = 0.5, 21/30 = 0.7, 27/30 = 0.9, 36/60 = 0.6.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 10.
4/10 = 0.4, 4/20 = 0.2, 4/40 = 0.1, 8/10 = 0.8, 8/20 = 0.4, 8/40 = 0.2, 9/10 = 0.9, 9/30 = 0.3, 9/90 = 0.1, 6/2 = 3, 6/20 = 0.3, 12/2 = 6, 12/20 = 0.6, 12/30 = 0.4, 12/40 = 0.3, 12/60 = 0.2, 15/5 = 3, 15/50 = 0.3, 15/30 = 0.5, 21/30 = 0.7, 27/30 = 0.9, 36/60 = 0.6.

Answer:
25/50 = 0.5, 2.5/50 = 0.05, 3.5/50 = 0.07, 3.5/70 = 0.05, 0.35/70 = 0.005, 0.35/50 = 0.007, 0.42/60 = 0.007, 0.54/90 = 0.006, 0.56/80 = 0.007, 0.63/70 = 0.009, 6/30 = 0.2, 18/90 = 0.2, 72/80 = 0.9, 4.8/80 = 0.06, 0.36/30 = 0.012, 0.48/40 = 0.012, 0.65/50 = 0.013, 1.38/30 = 0.046, 2.64/60 = 0.044, 5.18/70 = 0.074, 6.96/80 = 0.087, 6.12/90 = 0.068.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 10.
25/50 = 0.5, 2.5/50 = 0.05, 3.5/50 = 0.07, 3.5/70 = 0.05, 0.35/70 = 0.005, 0.35/50 = 0.007, 0.42/60 = 0.007, 0.54/90 = 0.006, 0.56/80 = 0.007, 0.63/70 = 0.009, 6/30 = 0.2, 18/90 = 0.2, 72/80 = 0.9, 4.8/80 = 0.06, 0.36/30 = 0.012, 0.48/40 = 0.012, 0.65/50 = 0.013, 1.38/30 = 0.046, 2.64/60 = 0.044, 5.18/70 = 0.074, 6.96/80 = 0.087, 6.12/90 = 0.068.

Question 1.
4 ÷ 10 = 0.4.

Answer:
4/10 = 0.4.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 10.
4/10 = 0.4.

Question 2.
4 ÷ 20 = 0.2.

Answer:
4/20 = 0.2.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 20.
4/20 = 0.2.

Question 3.
4 ÷ 40 = 0.1.

Answer:
4/40 = 0.1.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 40.
4/40 = 0.1.

Question 4.
8 ÷ 10 = 0.8.

Answer:
8/10 = 0.8.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 10.
8/10 = 0.8.

Question 5.
8 ÷ 20 = 0.4.

Answer:
8/20 = 0.4.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 20.
8/20 = 0.4.

Question 6.
8 ÷ 40 = 0.2.

Answer:
8/40 = 0.2.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 40.
8/40 = 0.2.

Question 7.
9 ÷ 10 = 0.9.

Answer:
9/10 = 0.9.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 10.
9/10 = 0.9.

Question 8.
9 ÷ 30 = 0.3.

Answer:
9/30 = 0.3.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 30.
9/30 = 0.3.

Question 9.
9 ÷ 90 = 0.1.

Answer:
9/90 = 0.1.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 90.
9/90 = 0.1.

Question 10.
6 ÷ 2= 3.

Answer:
6/2 = 3.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 2.
6/2 = 3.

Question 11.
6 ÷ 20 = 0.3.

Answer:
6/20 = 0.3.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 20.
6/20 = 0.3.

Question 12.
12 ÷ 2 = 6.

Answer:
12/2 = 6.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 12.
12/2 = 6.

Question 13.
12 ÷ 20 = 0.6.

Answer:
12/20 = 0.6.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 20.
12/20 = 0.6.

Question 14.
12 ÷ 30 = 0.4.

Answer:
12/30 = 0.4.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 30.
12/30 = 0.4.

Question 15.
12 ÷ 40 = 0.3.

Answer:
12/40 = 0.3.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 40.
12/40 = 0.3.

Question 16.
12 ÷ 60 = 0.2.

Answer:
12/60 = 0.2.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 60.
12/60 = 0.2.

Question 17.
15 ÷ 5 = 3.

Answer:
15/5 = 3.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 15.
15/5 = 3.

Question 18.
15 ÷ 50 = 0.3.

Answer:
15/50 = 0.3.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 50.
15/50 = 0.3.

Question 19.
15 ÷ 30 = 0.5.

Answer:
15/30 = 0.5.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 30.
15/30 = 0.5.

Question 20.
21 ÷ 30 = 0.7.

Answer:
21/30 = 0.7.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 30.
21/30 = 0.7.

Question 21.
27 ÷ 30 = 0.9.

Answer:
27/30 = 0.9.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 30.
27/30 = 0.9.

Question 22.
36 ÷ 60 = 0.6.

Answer:
36/60 = 0.6.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 60.
36/60 = 0.6.

Question 23.
25 ÷ 50 = 0.5.

Answer:
8/40 = 0.2.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 40.
8/40 = 0.2.

Question 24.
2.5 ÷ 50 = 0.05.

Answer:
2.5/50 = 0.05.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 50.
2.5/50 = 0.05.

Question 25.
3.5 ÷ 50 = 0.07.

Answer:
3.5/50 = 0.07.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 50.
3.5/50 = 0.07.

Question 26.
3.5 ÷ 70 = 0.05.

Answer:
3.5/70 = 0.05.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 70.
3.5/70 = 0.05.

Question 27.
0.35 ÷ 70 = 0.005.

Answer:
0.35/70 = 0.005.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 70.
0.35/70 = 0.005.

Question 28.
0.35 ÷ 50 = 0.007.

Answer:
0.35/50 = 0.007.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 50.
0.35/50 = 0.007.

Question 29.
0.42 ÷ 60 = 0.007.

Answer:
0.42/60 = 0.007.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 60.
0.42/60 = 0.007.

Question 30.
0.54 ÷ 90 = 0.006.

Answer:
0.54/90 = 0.006.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 90.
0.54/90 = 0.006.

Question 31.
0.56 ÷ 80 = 0.007.

Answer:
0.56/80 = 0.007.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 80.
0.56/80 = 0.007.

Question 32.
0.63 ÷ 70 = 0.009.

Answer:
0.63/70 = 0.009.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 70.
0.63/70 = 0.009.

Question 33.
6 ÷ 30 = 0.2.

Answer:
6/30 = 0.2.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 30.
6/30 = 0.2.

Question 34.
18 ÷ 90 = 0.2.

Answer:
18/90 = 0.2.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 90.
18/90 = 0.2.

Question 35.
72 ÷ 80 = 0.9.

Answer:
72/80 = 0.9.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 80.
72/80 = 0.9.

Question 36.
4.8 ÷ 80 = 0.06.

Answer:
4.8/80 = 0.06.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 80.
4.8/80 = 0.06.

Question 37.
0.36 ÷ 30 = 0.012.

Answer:
0.36/30 = 0.012.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 30.
0.36/30 = 0.012.

Question 38.
0.48 ÷ 40 = 0.012.

Answer:
0.48/40 = 0.012.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 40.
0.48/40 = 0.012.

Question 39.
0.65 ÷ 50 = 0.013.

Answer:
0.65/50 = 0.013.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 50.
0.65/50 = 0.013.

Question 40.
1.38 ÷ 30 = 0.046.

Answer:
1.38/30 = 0.046.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 30.
1.38/30 = 0.046.

Question 41.
2.64 ÷ 60 = 0.044.

Answer:
2.64/60 = 0.044.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 60.
2.64/60 = 0.044.

Question 42.
5.18 ÷ 70 = 0.074.

Answer:
5.18/70 = 0.074.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 70.
5.18/70 = 0.074.

Question 43.
6.96 ÷ 80 = 0.087.

Answer:
6.96/80 = 0.087.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 80.
6.96/80 = 0.087.

Question 44.
6.12 ÷ 90 = 0.068.

Answer:
6.12/90 = 0.068.

Explanation:
In the above-given question,
given that,
divide decimals by multiples of 90.
6.12/90 = 0.068.

Eureka Math Grade 5 Module 2 Lesson 28 Problem Set Answer Key

Question 1.
Ava is saving for a new computer that costs $1,218. She has already saved half of the money. Ava earns $14.00 per hour. How many hours must Ava work in order to save the rest of the money?

Answer:
The number of hours must Ava work in order to save the rest of the money = 44 hours.

Explanation:
In the above-given question,
given that,
Ava is saving for a new computer that costs $1,218.
She has already saved half of the money.
Ava earns $14.00 per hour.
1218/2 = $609.
14 x 44 = 616.
the number of hours must Ava work in order to save the rest of the money = 44 hrs.

Question 2.
Michael has a collection of 1,404 sports cards. He hopes to sell the collection in packs of 36 cards and make $633.75 when all the packs are sold. If each pack is priced the same, how much should Michael charge per pack?

Answer:
The Michael charge per pack = $17.60.

Explanation:
In the above-given question,
given that,
Michael has a collection of 1404 sports cards.
he hopes to sell the collection in packs of 36 cards and make $633.75.
$633.75/36.
17.60.

Question 3.
Jim Nasium is building a tree house for his two daughters. He cuts 12 pieces of wood from a board that is 128 inches long. He cuts 5 pieces that measure 15.75 inches each and 7 pieces evenly cut from what is left. Jim calculates that, due to the width of his cutting blade, he will lose a total of 2 inches of wood after making all of the cuts. What is the length of each of the seven pieces?

Answer:
The length of each of the seven pieces = 2.25.

Explanation:
In the above-given question,
given that,
Jim Nasim is building a treehouse for his two daughters.
He cuts 12 pieces of wood from a board that is 128 inches long.
He cuts 5 pieces that measure 15.75 inches each and 7 pieces evenly cut from what is left.
128 /2 = 64.
15.75/5 = 3.15.
15.75/7 = 2.25.
the length of each of the seven pieces = 2.25.

Question 4.
A load of bricks is twice as heavy as a load of sticks. The total weight of 4 loads of bricks and 4 loads of sticks is 771 kilograms. What is the total weight of 1 load of bricks and 3 loads of sticks?

Answer:
The total weight of 1 load of bricks and 3 loads of sticks = 192.75 kgs.

Explanation:
In the above-given question,
given that,
A load of bricks is twice as heavy as a load of sticks.
The total weight of 4 loads of bricks and 4 loads of sticks is 771 kilograms.
4 + 4 = 8.
771/8 = 96.375.
1 + 3 = 4.
771/4 = 192.75.

Eureka Math Grade 5 Module 2 Lesson 28 Exit Ticket Answer Key

Solve this problem, and show all of your work.

Kenny is ordering uniforms for both the girls’ and boys’ tennis clubs. He is ordering shirts for 43 players and two coaches at a total cost of $658.35. Additionally, he is ordering visors for each player at a total cost of $368.51. How much will each player pay for the shirt and visor?

Answer:
Each player pay for the shirt and visor = $289.84.

Explanation:
Kenny is ordering uniforms for both the girls’ and boys’ tennis clubs.
He is ordering shirts for 43 players and two coaches at a total cost of $658.35.
Additionally , he is ordering visors for each player at a total cost of $368.51.
658.35 – 368.51.
289.84.
each player pay for the shirt and visor = $289.84.

Eureka Math Grade 5 Module 2 Lesson 28 Homework Answer Key

Question 1.
Mr. Rice needs to replace the 166.25 ft of edging on the flower beds in his backyard. The edging is sold in lengths of 19 ft each. How many lengths of edging will Mr. Rice need to purchase?

Answer:
The lengths of edging will Mr. Rice need to purchase = 8.75 ft.

Explanation:
In the above-given question,
given that,
Mr. Rice needs to replace the 166.25 ft of edging on the flower beds in his backyard.
The edging is sold in lengths of 19 ft each.
166.25/19.
8.75.

Question 2.
Olivia is making granola bars. She will use 17.9 ounces of pistachios, 12.6 ounces of almonds, 12.5 ounces of walnuts, and 12.5 ounces of cashews. This amount makes 25 bars. How many ounces of nuts are in each granola bar?

Answer:
The number of ounces of nuts is in each granola bar = 55.5 ounces.

Explanation:
In the above-given question,
given that,
Olivia is making granola bars.
she will use 17.9 ounces of pistachios, 12.6 ounces of almonds, 12.5 ounces of walnuts, and 12.5 ounces of cashews.
this amount makes 25 bars.
17.9 + 12.6 + 12.5 + 12.5.
55.5 ounces.

Question 3.
Adam has 16.45 kg of flour, and he uses 6.4 kg to make hot cross buns. The remaining flour is exactly enough to make 15 batches of scones. How much flour, in kg, will be in each batch of scones?

Answer:
The amount of flour will be in each batch of scones = 7.85 kg.

Explanation:
In the above-given question,
given that,
Adam has 16.45 kg of flour, and he uses 6.4 kg to make hot cross buns.
The remaining flour is exactly enough to make 15 batches of scones.
16.45 + 6.4 = 22.85 kg.
22.85 – 15.
7.85 kg.

Question 4.
There are 90 fifth-grade students going on a field trip. Each student gives the teacher $9.25 to cover admission to the theater and for lunch. Admission for all of the students will cost $315, and each student will get an equal amount to spend on lunch. How much will each fifth grader get to spend on lunch?

Answer:
Each fifth grader get to spend on lunch = $2.7.

Explanation:
In the above-given question,
given that,
There are 90 fifth-grade students going on a field trip.
each student gives the teacher $9.25 to cover admission to the theater and for lunch.
admission for all of the students will cost $315.
90 x $9.25 = 832.5$
832.5/315.
2.64

Question 5.
Ben is making math manipulatives to sell. He wants to make at least $450. Each manipulative costs $18 to make. He is selling them for $30 each. What is the minimum number he can sell to reach his goal?

Answer:
The minimum number he can sell to reach his goal = $13,500.

Explanation:
In the above-given question,
given that,
Ben is making math manipulatives to sell.
He wants to make at least $450.
Each manipulative costs $18 to make.
He is selling them for $30 each.
$30 x 450.
13,500.

Engage NY Eureka Math 5th Grade Module 2 Lesson 27 Answer Key

Eureka Math Grade 5 Module 2 Lesson 27 Problem Set Answer Key

Question 1.
Divide. Check your work with multiplication.
a. 5.6 ÷ 16

Answer:
5.6/16 = 8.

Explanation:
In the above-given question,
given that,
16 x 3 = 48.
56-48 = 8.

b. 21 ÷ 14

Answer:
21/14 = 7.

Explanation:
In the above-given question,
given that,
14 x 1 = 14.
21-14 = 7.

c. 24 ÷ 48

Answer:
48/24 = 0.

Explanation:
In the above-given question,
given that,
24 x 2 = 48.
48-48 = 0.

d. 36 ÷ 24

Answer:
36/24 = 12.

Explanation:
In the above-given question,
given that,
24 x 1 = 24.
36-24 = 12.

e. 81 ÷ 54

Answer:
81/54 = 27.

Explanation:
In the above-given question,
given that,
54 x 1 = 54.
81-54 = 27.

f. 15.6 ÷ 15

Answer:
15.6/15 = 8.

Explanation:
In the above-given question,
given that,
15 x 1 = 15.
15-15 = 0.
15 x 4 = 60.
60 – 60 = 0.

g. 5.4 ÷ 15

Answer:
5.4/15 = 9.

Explanation:
In the above-given question,
given that,
15 x 4 = 45.
54-45 = 9.

h. 16.12 ÷ 52

Answer:
16.12/52 = 8.

Explanation:
In the above-given question,
given that,
52 x 3 = 156.
161-156 = 5.
52 x 1 = 52.
52-52 = 0.

i. 2.8 ÷ 16

Answer:
2.8/16 = 12.

Explanation:
In the above-given question,
given that,
16 x 1 = 16.
28-16 = 12.

Question 2.
30.48 kg of beef was placed into 24 packages of equal weight. What is the weight of one package of beef?

Answer:
The weight of one package of beef = 1.27 kg.

Explanation:
In the above-given question,
given that,
30.48 kg of beef was placed into 24 packages of equal weight.
30.48/24.
1.27.

Question 3.
What is the length of a rectangle whose width is 17 inches and whose area is 582.25 in2?

Answer:
The length of the rectangle = 34.25 in.

Explanation:
In the above-given question,
given that,
the width = 17 in.
area = 582.25.
582.25/17.
34.25.

Question 4.
A soccer coach spent $162 dollars on 24 pairs of socks for his players. How much did five pairs of socks cost?

Answer:
The five pairs of socks cost = $32.5.

Explanation:
In the above-given question,
given that,
A soccer coach spent $162 dollars on 24 pairs of socks for his players.
162/24 = 6.57.
162/5 = 32.4$.

Question 5.
A craft club makes 95 identical paperweights to sell. They collect $230.85 from selling all the paperweights. If the profit the club collects on each paperweight is two times as much as the cost to make each one, what does it cost the club to make each paperweight?

Answer:
The cost the club to make each paperweight = $2.43.

Explanation:
In the above-given question,
given that,
A craft club makes 95 identical paperweights to sell.
They collect $230.85 from selling all the paperweights.
230.85/95.
2.43.

Eureka Math Grade 5 Module 2 Lesson 27 Exit Ticket Answer Key

Divide.

a. 28 ÷ 32

Answer:
32/28 = 1.14.

Explanation:
In the above-given question,
given that,
32 / 28 = 1.14.

b. 68.25 ÷ 65

Answer:
68.25/65 = 1.05.

Explanation:
In the above-given question,
given that,
68.25/65.
1.05.

Eureka Math Grade 5 Module 2 Lesson 27 Homework Answer Key

Question 1.
Divide. Check your work with multiplication.
a. 7 ÷ 28

Answer:
28/7 = 4.

Explanation:
In the above-given question,
given that,
7 x 4 = 28.
28 – 28 = 0.

b. 51 ÷ 25

Answer:
51/25 = 1.

Explanation:
In the above-given question,
given that,
25 x 2 = 50.
51 – 50 = 1.

c. 6.5 ÷ 13

Answer:
6.5/13 = 0.

Explanation:
In the above-given question,
given that,
13 x 4 = 52.
65 – 52 = 13.
13 x 1 = 13.
13 – 13 = 0.

d. 132.16 ÷ 16

Answer:
132.16/16 = 0.

Explanation:
In the above-given question,
given that,
16 x 8 = 128.
132 – 128 = 4.
41-32 = 9.
96 – 96 = 0.

e. 561.68 ÷ 28

Answer:
561.68/28 = 0.

Explanation:
In the above-given question,
given that,
28 x 2 = 56.
56 – 56 = 0.
28 x 6 = 168.
168-168 = 0.

f. 604.8 ÷ 36

Answer:
604.8/36 = 0.

Explanation:
In the above-given question,
given that,
36 x 1 = 36.
60 – 36 = 24.
36 x 6 = 216.
288-288 = 0.

Question 2.
In a science class, students water a plant with the same amount of water each day for 28 consecutive days. If the students use a total of 23.8 liters of water over the 28 days, how many liters of water did they use each day? How many milliliters did they use each day?

Answer:
The number of millimeters they use each day = 0.85 ml.

Explanation:
In the above-given question,
given that,
In a science class, students water a plant with the same amount of water each day for 28 consecutive days.
If the students use a total of 23.8 liters of water over the 28 days.
23.8/28.
0.85 ml.

Question 3.
A seamstress has a piece of cloth that is 3 yards long. She cuts it into shorter lengths of 16 inches each. How many of the shorter pieces can she cut?

Answer:
The number of shorter pieces can she cut = 6.75 in.

Explanation:
In the above-given question,
given that,
A steamstress has a piece of cloth that is 3 yards long.
she cuts it into shorter lengths of 16 inches each.
1 yard = 36 inches.
36 x 3 = 108.
108/16.
6.75 in.

Question 4.
Jenny filled 12 pitchers with an equal amount of lemonade in each. The total amount of lemonade in the 12 pitchers was 41.4 liters. How many liters of lemonade would be in 7 pitchers?

Answer:
The number of liters of lemonade = 5.9 pitchers.

Explanation:
In the above-given question,
given that,
Jenny filled 12 pitchers with an equal amount of lemonade in each.
The total amount of lemonade in the 12 pitchers was 41.4 liters.
41.4/7 = 5.9

Engage NY Eureka Math 5th Grade Module 2 Lesson 26 Answer Key

Eureka Math Grade 5 Module 2 Lesson 26 Problem Set Answer Key

Question 1.
156 ÷ 24 and 102 ÷ 15 both have a quotient of 6 and a remainder of 12.
a. Are the division expressions equivalent to each other? Use your knowledge of decimal division to justify your answer.

Answer:
156/24 = 6.5.
102/15 = 6.8

Explanation:
In the above-given question,
given that,
156/24 and 102/15 both have a quotient of 6 and a remainder of 12.
156/24 = 6.5.
102/15 = 6.8.
Yes, the division expressions equivalent to each other.

b. Construct your own division problem with a two-digit divisor that has a quotient of 6 and a remainder of 12 but is not equivalent to the problems in 1(a).

Answer:
30/18 = 6.
42/30 = 6.

Explanation:
In the above-given question,
given that,
30/18 and 42/30 both have a quotient of 6 and a remainder of 12.
30/18 = 6.
42/30 = 6.

Question 2.
Divide. Then, check your work with multiplication.
a. 36.14 ÷ 13

Answer:
36.14/13 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
13 x 2 = 26.
36 – 26 = 10.
13 x 8 = 104.
104-104 = 0.

b. 62.79 ÷ 23

Answer:
62.79/23 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
23 x 2 = 46.
62 – 46 = 16.
23 x 3 = 69.
69-69 = 0.

c. 12.21 ÷ 11

Answer:
12.21/11 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
11 x 1 = 11.
12 – 11 = 1.
11 x 1 = 11.
11-11 = 0.

d. 6.89 ÷ 13

Answer:
6.89/13 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
13 x 5 = 65.
68 – 65 = 3.
13 x 3 = 39.
39-39 = 0.

e. 249.6 ÷ 52

Answer:
249.6/52 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
52 x 4 = 208.
249 – 208 =41.
52 x 8 = 416.
416-416 = 0.

f. 24.96 ÷ 52

Answer:
24.96/52 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
52 x 4 = 208.
249 – 208 =41.
52 x 8 = 416.
416-416 = 0.

g. 300.9 ÷ 59

Answer:
300.9/59 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
59 x 5 = 295.
300 – 295 =5.
59 x 1 = 59.
59-59 = 0.

h. 30.09 ÷ 59

Answer:
30.09/59 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
59 x 5 = 295.
300 – 295 =5.
59 x 1 = 59.
59-59 = 0.

Question 3.
The weight of 72 identical marbles is 183.6 grams. What is the weight of each marble? Explain how you know the decimal point of your quotient is placed reasonably.

Answer:
The weight of each marble = 2.55 grams.

Explanation:
In the above-given question,
given that,
The weight of 72 identical marbles is 183.6 grams.
183.6/72.
2.55 grams.

Question 4.
Cameron wants to measure the length of his classroom using his foot as a length unit. His teacher tells him the length of the classroom is 23 meters. Cameron steps across the classroom heel to toe and finds that it takes him 92 steps. How long is Cameron’s foot in meters?

Answer:
The Cameron’s foot in meters = 2116 meters.

Explanation:
In the above-given question,
given that,
Cameron wants to measure the length of his classroom using his foot as a length unit.
His teacher tells him the length of the classroom is 23 meters.
Cameron steps across the classroom heel to toe finds that it takes him 92 steps.
23 x 92 = 2116 meters.

Question 5.
A blue rope is three times as long as a red rope. A green rope is 5 times as long as the blue rope. If the total length of the three ropes is 508.25 meters, what is the length of the blue rope?

Answer:
The length of the blue rope = 34 meters.

Explanation:
In the above-given question,
given that,
A blue rope is three times as long as a red rope.
A green rope is 5 times as long as the blue rope.
if the total length of the three ropes is 508.25 meters.
508.25/5 = 101.65.
101.65 = 33.88.

Eureka Math Grade 5 Module 2 Lesson 26 Exit Ticket Answer Key

Question 1.
Estimate. Then, divide using the standard algorithm and check.
a. 45.15 ÷ 21

Answer:
45.15/21 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
21 x 2 = 42.
45 – 42 =3.
21 x 5 = 105.
105-105 = 0.

b. 14.95 ÷ 65

Answer:
14.95/65 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
65 x 2 = 130.
149 – 130 =19.
65 x 3 = 195.
195-195 = 0.

Question 2.
We learned today that division expressions that have the same quotient and remainders are not necessarily equal to each other. Explain how this is possible.

Eureka Math Grade 5 Module 2 Lesson 26 Homework Answer Key

Question 1.
Create two whole number division problems that have a quotient of 9 and a remainder of 5. Justify which is greater using decimal division.

Question 2.
Divide. Then, check your work with multiplication.
a. 75.9 ÷ 22

Answer:
75.9/22 = 1.1.

Explanation:
In the above-given question,
given that,
Divide, and then check.
22 x 3 = 66.
75 – 66 =9.
22 x 4 = 88.
99-88 = 11.

b. 97.28 ÷ 19

Answer:
97.28/19 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
19 x 5 = 95.
97 – 95 =2.
19 x 2 = 38.
38-38 = 0.

c. 77.14 ÷ 38

Answer:
77.14/38 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
38 x 2 = 76.
77 – 76 =1.
38 x 3 = 114.
114-114 = 0.

d. 12.18 ÷ 29

Answer:
12.18/29 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
29 x 4 = 116.
121 – 116 =5.
29 x 2 = 58.
58-58 = 0.

Question 3.
Divide.
a. 97.58 ÷ 34

Answer:
97.58/34 = 2.87.

Explanation:
In the above-given question,
given that,
97.58/34.
2.87.

b. 55.35 ÷ 45

Answer:
55.35/45 = 1.23.

Explanation:
In the above-given question,
given that,
55.35/45.
1.23.

Question 4.
Use the equations on the left to solve the problems on the right. Explain how you decided where to place the decimal in the quotient.
a. 520.3 ÷ 43 = 12.1 52.03 ÷ 43 = ______1.21______________

Answer:
52.03/43 = 1.21.

Explanation:
In the above-given question,
given that,
52.03/43.
1.21.

b. 19.08 ÷ 36 = 0.53 190.8 ÷ 36 = _______5.3_____________

Answer:
190.8/36 = 5.3.

Explanation:
In the above-given question,
given that,
190.8/36.
5.3.

Question 5.
You can look up information on the world’s tallest buildings at http://www.infoplease.com/ipa/A0001338.html.
a. The Aon Centre in Chicago, Illinois, is one of the world’s tallest buildings. Built in 1973, it is 1,136 feet high and has 80 stories. If each story is of equal height, how tall is each story?

Answer:
The tall is each story = 14.2 feet.

Explanation:
In the above-given question,
given that,
The Aon Center in Chicago, Illinois, is one of the world’s tallest buildings.
Built-in 1973, it is 1,136 feet high and has 80 stories.
1136/80 = 14.2 feet.

b. Burj al Arab Hotel, another one of the world’s tallest buildings, was finished in 1999. Located in Dubai, it is 1,053 feet high with 60 stories. If each floor is the same height, how much taller or shorter is each floor than the height of the floors in the Aon Center?

Answer:
The height of each floor = 17.55 ft.

Explanation:
In the above-given question,
given that,
Burj al Arab Hotel, another one of the world’s tallest buildings, was finished in 1999. located in dubai.
it is 1053 feet high with 60 stories.
1053/60.
17.55 feet.

Engage NY Eureka Math 5th Grade Module 2 Lesson 25 Answer Key

Question 1.
Estimate the quotients.
a. 3.24 ÷ 82 ≈ 0.039.

Answer:
3.24/82 = 0.039.

Explanation:
In the above-given question,
given that,
3.24/82.
0.039.

b. 361.2 ÷ 61 ≈ 6

Answer:
361.2/61 = 6.

Explanation:
In the above-given question,
given that,
361.2/61.
6.

c. 7.15 ÷ 31 ≈ 0.230.

Answer:
7.15/31 = 0.230.

Explanation:
In the above-given question,
given that,
7.15/31.
0.230.

d. 85.2 ÷ 31 ≈ 2.74.

Answer:
85.2/31 = 2.74.

Explanation:
In the above-given question,
given that,
85.2/31.
2.74.

e. 27.97 ÷ 28 ≈ 0.90.

Answer:
27.97/28 = 0.90.

Explanation:
In the above-given question,
given that,
27.97/28.
0.90.

Question 2.
Estimate the quotient in (a). Use your estimated quotient to estimate (b) and (c).
a. 7.16 ÷ 36 ≈ 0.19.

Answer:
7.16/36 = 0.19.

Explanation:
In the above-given question,
given that,
7.16/36.
0.19.

b. 716 ÷ 36 ≈ 19.8

Answer:
716/36 = 19.8.

Explanation:
In the above-given question,
given that,
716/36.
19.8.

c. 71.6 ÷ 36 ≈ 1.98

Answer:
71.6/36 = 1.98.

Explanation:
In the above-given question,
given that,
71.6/36.
1.98.

Question 3.
Edward bikes the same route to and from school each day. After 28 school days, he bikes a total distance of 389.2 miles.
a. Estimate how many miles he bikes in one day.

Answer:
The miles he bikes in one day = 13.9 miles.

Explanation:
In the above-given question,
given that,
Edward bikes the same route to and from school each day.
After 28 school days, he bikes a total distance of 389.2 miles.
389.2/28.
13.9 miles.

b. If Edward continues his routine of biking to school, about how many days altogether will it take him to reach a total distance of 500 miles?

Answer:
The days altogether will it take him to reach a total distance of 500 miles = 0.7784 days.

Explanation:
In the above-given question,
given that,
If Edward continues his routine of biking to school,
389.2/500.
0.7784 days.

Question 4.
Xavier goes to the store with $40. He spends $38.60 on 13 bags of popcorn.
a. About how much does one bag of popcorn cost?

Answer:
The one bag of popcorn cost = $3.

Explanation:
In the above-given question,
given that,
Xavier goes to the store with $40.
He spends $38.60 on 13 bags of popcorn.
38.60/13 = 2.9.

b. Does he have enough money for another bag? Use your estimate to explain your answer.

Answer:
No, he doesn’t have enough money for another bag.

Explanation:
In the above-given question,
given that,
2.9 +38.60.
41.5.

Estimate the quotients.
a. 1.64 ÷ 22 ≈ 0.074.

Answer:
1.64/22 = 0.074.

Explanation:
In the above-given question,
given that,
1.64/22.
0.074.

b. 123.8 ÷ 62 ≈1.99

Answer:
123.8/62 = 1.99.

Explanation:
In the above-given question,
given that,
123.8/62.
1.99.

c. 6.15 ÷ 31 ≈ 0.19

Answer:
6.15/31 = 0.19.

Explanation:
In the above-given question,
given that,
6.15/31.
0.19.

Question 1.
Estimate the quotients.
a. 3.53 ÷ 51 ≈0.019

Answer:
3.53/51 = 0.019.

Explanation:
In the above-given question,
given that,
3.53/51.
0.019.

b. 24.2 ÷ 42 ≈ 0.57

Answer:
24.2/42 = 0.57.

Explanation:
In the above-given question,
given that,
24.2/42.
0.57.

c. 9.13 ÷ 23 ≈ 0.39.

Answer:
9.13/23 = 0.39.

Explanation:
In the above-given question,
given that,
9.13/23.
0.39.

d. 79.2 ÷ 39 ≈ 2.03.

Answer:
79.2/39 = 2.03.

Explanation:
In the above-given question,
given that,
79.2/39.
2.03.

e. 7.19 ÷ 58 ≈ 0.12.

Answer:
7.19/58 = 0.12.

Explanation:
In the above-given question,
given that,
7.19/58.
0.12.

Question 2.
Estimate the quotient in (a). Use your estimated quotient to estimate (b) and (c).
a. 9.13 ÷ 42 ≈ 0.217.

Answer:
9.13/42 = 0.217.

Explanation:
In the above-given question,
given that,
9.13/42.
0.217.

b. 913 ÷ 42 ≈ 21.7

Answer:
913/42 = 21.7.

Explanation:
In the above-given question,
given that,
913/42.
21.7.

c. 91.3 ÷ 42 ≈ 2.17.

Answer:
91.3/42 = 2.17.

Explanation:
In the above-given question,
given that,
91.3/42.
2.17.

Question 3.
Mrs. Huynh bought a bag of 3 dozen toy animals as party favors for her son’s birthday party. The bag of toy animals cost $28.97. Estimate the price of each toy animal.

Answer:
The price of each toy animal = 0.2682.

Explanation:
In the above-given question,
given that,
Mrs Huynh bought a bag of 3 dozen toy animals as party favours for her son’s birthday party.
the bag of toy animals cost $28.97.
3 x 36 = 108.
$28.97/108.
0.2682.

Question 4.
Carter drank 15.75 gallons of water in 4 weeks. He drank the same amount of water each day.
a. Estimate how many gallons he drank in one day.

Answer:
The water he drank in one day = 0.5625 gallons.

Explanation:
Carter drank 15.75 gallons of water in 4 weeks.
He drank the same amount of water each day.
15.75/28.
0.5625.

b. Estimate how many gallons he drank in one week.

Answer:
The water he drank in one week = 2.25 gallons.

Explanation:
Carter drank 15.75 gallons of water in 4 weeks.
He drank the same amount of water each day.
15.75/7.
2.25.

c. About how many days altogether will it take him to drink 20 gallons?

Answer:
The water he drank in one day = 0.7875.

Explanation:
Carter drank 15.75 gallons of water in 4 weeks.
He drank the same amount of water each day.
15.75/20.
0.7875.

Engage NY Eureka Math 5th Grade Module 2 Lesson 23 Answer Key

Eureka Math Grade 5 Module 2 Lesson 23 Problem Set Answer Key

Question 1.
Divide. Then, check using multiplication.

a. 4,859 ÷ 23

Answer:
4859/23 = 6.

Explanation:
In the above-given question,
given that,
Divide, and then check.
23 x 2 = 46.
48 – 46 = 2.
23 x 1 = 23.
29-23 = 6.

b. 4,368 ÷ 52

Answer:
4368/52 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
52 x 8 = 416.
436 – 416 = 20.
52 x 4 = 208.
208-208 = 0.

c. 7,242 ÷ 34

Answer:
7242/34 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
34 x 2 = 68.
72 – 68 = 4.
34 x 1 = 34.
102-102 = 0.

d. 3,164 ÷ 45

Answer:
3164/45 = 5.

Explanation:
In the above-given question,
given that,
Divide, and then check.
45 x 7 = 315.
316 – 315 = 1.
45 x 3 = 140.
140-135 = 5.

e. 9,152 ÷ 29

Answer:
9152/29 = 17.

Explanation:
In the above-given question,
given that,
Divide, and then check.
29 x 2 = 87.
91 – 87 = 4.
29 x 5 = 145.
162-145 = 17.

f. 4,424 ÷ 63

Answer:
4424/63 = 22.

Explanation:
In the above-given question,
given that,
Divide, and then check.
63 x 5 = 315.
442 – 315 = 27.
63 x 4 = 279.
279-252 = 22.

Question 2.
Mr. Riley baked 1,692 chocolate cookies. He sold them in boxes of 36 cookies each. How much money did he collect if he sold them all at $8 per box?

Answer:
The money did she collect = $5.9.

Explanation:
In the above-given question,
given that,
Mr. Riley baked 1692 chocolate cookies.
he sold them in boxes of 36 cookies each.
36x 8 = 288.
1692/288.
5.9$.

Question 3.
1,092 flowers are arranged into 26 vases, with the same number of flowers in each vase. How many flowers would be needed to fill 130 such vases?

Answer:
The number of flowers needed to fill 130 such vases = 8 flowers.

Explanation:
In the above-given question,
given that,
1092 flowers are arranged into 26 vases,
with the same number of flowers in each vase.
1092/26 = 42.
1092/130 = 8.4.

Question 4.
The elephant’s water tank holds 2,560 gallons of water. After two weeks, the zookeeper measures and finds that the tank has 1,944 gallons of water left. If the elephant drinks the same amount of water each day, how many days will a full tank of water last?

Answer:
The number of days will a full tank of water last = 4.15 gallons.

Explanation:
In the above-given question,
given that,
The elephant’s water tank holds 2560 gallons of water.
after two weeks, the zookeeper measures and finds that the tank has 1944 gallons of water left.
if the elephant drinks the same amount of water each day.
2560 – 1944.
616.
2560/616.
4.15 gallons.

Eureka Math Grade 5 Module 2 Lesson 23 Exit Ticket Answer Key

Divide. Then, check using multiplication.
a. 8,283 ÷ 19

Answer:
8283/41 = 1.

Explanation:
In the above-given question,
given that,
Divide, and then check.
41 x 2 = 82.
82 – 82 = 0.
41 x 2 = 82.
83-82 = 1.

b. 1,056 ÷ 37

Answer:
1056/37 = 20.

Explanation:
In the above-given question,
given that,
Divide, and then check.
37 x 2 = 74.
105 – 74 =31.
37 x 8 = 296.
316-296 = 20.

Eureka Math Grade 5 Module 2 Lesson 23 Homework Answer Key

Question 1.
Divide. Then, check using multiplication.
a. 9,962 ÷ 41

Answer:
9962/41 = 40.

Explanation:
In the above-given question,
given that,
Divide, and then check.
41 x 2 = 82.
99 – 82 = 17.
41 x 2 = 122.
122-82 = 40.

b. 1,495 ÷ 45

Answer:
1495/45 = 10.

Explanation:
In the above-given question,
given that,
Divide, and then check.
45 x 3 = 135.
149 – 135 = 14.
45 x 3 = 135.
145-135 = 10.

c. 6,691 ÷ 28

Answer:
6691/28 = 27.

Explanation:
In the above-given question,
given that,
Divide, and then check.
28 x 2 = 56.
66 – 56 = 10.
23 x 8 = 251.
251-224 = 27.

d. 2,625 ÷ 32

Answer:
2625/32 = 33.

Explanation:
In the above-given question,
given that,
Divide, and then check.
32 x 8 = 256.
262 – 256 = 6.
32 x 1 = 32.
65-32 = 33.

e. 2,409 ÷ 19

Answer:
2409/19 = 15.

Explanation:
In the above-given question,
given that,
Divide, and then check.
19 x 1 = 19.
24 – 19 = 5.
19 x 6 = 126.
126-114 = 15.

f. 5,821 ÷ 62

Answer:
5821/62 = 55.

Explanation:
In the above-given question,
given that,
Divide, and then check.
62 x 9 = 558.
582 – 558 = 24.
62 x 3 = 241.
241-186 = 55.

Question 2.
A political gathering in South America was attended by 7,910 people. Each of South America’s 14 countries was equally represented. How many representatives attended from each country?

Answer:
The representatives attend from each country = 565.

Explanation:
In the above-given question,
given that,
A political gathering in south America was attended by 7910 people.
each of south America’s 14 countries was equally represented.
7910/14 = 565.

Question 3.
A candy company packages caramel into containers that hold 32 fluid ounces. In the last batch, 1,848 fluid ounces of caramel were made. How many containers were needed for this batch?

Answer:
The containers were needed for this batch = 58 containers.

Explanation:
In the above-given question,
given that,
A candy company packages caramel into containers that hold 32 fluid ounces.
In the last batch, 1,848 fluid ounces of caramel were made.
1848/32.
57.75.
58.

Engage NY Eureka Math 5th Grade Module 2 Lesson 24 Answer Key

Eureka Math Grade 5 Module 2 Lesson 24 Problem Set Answer Key

Question 1.
Divide. Show the division in the right-hand column in two steps. The first two have been done for you.

a. 1.2 ÷ 6 = 0.2

Answer:
1.2/6 = 0.2.

Explanation:
In the above-given question,
given that,
1.2/6.
0.2.

b. 1.2 ÷ 60 = (1.2 ÷ 6) ÷ 10 = 0.2 ÷ 10 = 0.02

Answer:
1.2/60 = 0.02.

Explanation:
In the above-given question,
given that,
1.2/60.
(1.2/6)/10.
0.2/10.
0.02

c. 2.4 ÷ 4 = ___0.6______________________

Answer:
2.4/4 = 0.6.

Explanation:
In the above-given question,
given that,
2.4/4.
0.6.

d. 2.4 ÷ 40 = _(2.4 ÷ 4) ÷ 10 = 0.6 ÷ 10 = 0.06_______________

Answer:
2.4/40 = 0.06.

Explanation:
In the above-given question,
given that,
2.4/40.
(2.4/4)/10.
0.6/10.
0.06.

e. 14.7 ÷ 7 = ______2.1__________________

Answer:
14.7/7 = 2.1.

Explanation:
In the above-given question,
given that,
14.7/7.
2.1.

f. 14.7 ÷ 70 = ___14.7 ÷ 7) ÷ 10 = 2.1 ÷ 10 = 0.21______

Answer:
14.7/70 = 0.06.

Explanation:
In the above-given question,
given that,
14.7/70.
(14.7/7)/10.
2.1/10.
0.21.

g. 0.34 ÷ 2 = ______0.17___________________

Answer:
0.34/2 = 0.17.

Explanation:
In the above-given question,
given that,
0.34/2.
0.17.

h. 3.4 ÷ 20 = _______0.17__________________

Answer:
3.4/20 = 0.17.

Explanation:
In the above-given question,
given that,
3.4/20.
(3.4/2)/10.
1.7/10.
0.17.

i. 0.45 ÷ 9 = _________0.05________________

Answer:
0.45/9 = 0.05.

Explanation:
In the above-given question,
given that,
0.45/9.
0.05.

j. 0.45 ÷ 90 = ________0.005________________

Answer:
0.45/90 = 0.005.

Explanation:
In the above-given question,
given that,
0.45/90.
(0.45/9)/10.
0.05/10.
0.005.

k. 3.45 ÷ 3 = ____1.15_____________________

Answer:
3.45/3 = 1.15.

Explanation:
In the above-given question,
given that,
3.45/3.
1.15.

l. 34.5 ÷ 300 = ____0.115___________________

Answer:
34.5/300 = 0.115.

Explanation:
In the above-given question,
given that,
34.5/300.
(34.5/3)/100.
1.15/100.
0.115.

Question 2.
Use place value reasoning and the first quotient to compute the second quotient. Explain your thinking.
a. 46.5 ÷ 5 = 9.3
46.5 ÷ 50 = ____0.93_______

Answer:
46.5/50 = 0.93.

Explanation:
In the above-given question,
given that,
46.5/50.
(46.5/5)/10.
9.3/10.
0.93.

b. 0.51 ÷ 3 = 0.17
0.51 ÷ 30 = ____0.017_______

Answer:
0.51/30 = 0.017.

Explanation:
In the above-given question,
given that,
0.51/30.
(0.51/3)/10.
0.17/10.
0.017.

c. 29.4 ÷ 70 = 0.42
29.4 ÷ 7 = ___4.2________

Answer:
29.4/7 = 4.2.

Explanation:
In the above-given question,
given that,
29.4/7.
4.2.

d. 13.6 ÷ 40 = 0.34
13.6 ÷ 4 = __3.4_________

Answer:
13.6/4 = 3.4.

Explanation:
In the above-given question,
given that,
13.6/4.
3.4

Question 3.
Twenty polar bears live at the zoo. In four weeks, they eat 9,732.8 pounds of food altogether. Assuming each bear is fed the same amount of food, how much food is used to feed one bear for a week? Round your answer to the nearest pound.

Answer:
The food used to feed one bear for a week = 490 pounds.

Explanation:
In the above-given question,
given that,
twenty polar bears live at the zoo.
In four weeks, they eat 9,732.8 pounds of food altogether.
9732.8/20
486.64.
490.

Question 4.
The total weight of 30 bags of flour and 4 bags of sugar is 42.6 kg. If each bag of sugar weighs 0.75 kg, what is the weight of each bag of flour?

Answer:
The weight of each bag of flour = 39.6 kg.

Explanation:
In the above-given question,
given that,
the total weight of 30 bags of flour and 4 bags of sugar is 42.6kg.
if each bag of sugar weighs 0.75 kg.
30 + 4 = 42.6.
42.6 – 3 = 39.6.

Eureka Math Grade 5 Module 2 Lesson 24 Exit Ticket Answer Key

Question 1.
Divide.
a. 27.3 ÷ 3

Answer:
27.3/3 = 9.1.

Explanation:
In the above-given question,
given that,
27.3/3.
9.1.

b. 2.73 ÷ 30

Answer:
2.73/30 = 0.091.

Explanation:
In the above-given question,
given that,
2.73/30.
0.091.

c. 273 ÷ 300

Answer:
273/300 = 0.91.

Explanation:
In the above-given question,
given that,
273/300.
0.91.

Question 2.
If 7.29 ÷ 9 = 0.81, then the quotient of 7.29 ÷ 90 is _____0.081____________. Use place value reasoning to explain the placement of the decimal point.

Answer:
7.29/90 = 0.081.

Explanation:
In the above-given question,
given that,
7.29/90.
(7.29/9)/10.
0.81/10.
0.081.

Eureka Math Grade 5 Module 2 Lesson 24 Homework Answer Key

Question 1.
Divide. Show every other division sentence in two steps. The first two have been done for you.
a. 1.8 ÷ 6 = 0.3

b. 1.8 ÷ 60 = (1.8 ÷ 6) ÷ 10 = 0.3 ÷ 10 = 0.03

Answer:
1.8/60 = 0.03.

Explanation:
In the above-given question,
given that,
1.8/60.
(1.8/6)/10.
0.3/10.
0.03.

c. 2.4 ÷ 8 = ____________0.3_____________

Answer:
2.4/8 = 0.3.

Explanation:
In the above-given question,
given that,
2.4/8.
0.3.

d. 2.4 ÷ 80 = _______0.03___________________

Answer:
2.4/80 = 0.03

Explanation:
In the above-given question,
given that,
2.4/80.
(2.4/8)/10.
0.3/10.
0.03.

e. 14.6 ÷ 2 = ______7.3___________________

Answer:
14.6/2 = 7.3.

Explanation:
In the above-given question,
given that,
14.6/2.
7.3.

f. 14.6 ÷ 20 = _________0.073________________

Answer:
14.6/20 = 0.073.

Explanation:
In the above-given question,
given that,
14.6/20.
(14.6/2)/10.
7.3/10.
0.073.

g. 0.8 ÷ 4 = __________0.2________________

Answer:
0.8/4 = 0.2.

Explanation:
In the above-given question,
given that,
0.8/4.
0.2.

h. 80 ÷ 400 = _____________0.2____________

Answer:
400/80 = 0.2.

Explanation:
In the above-given question,
given that,
400/80.
(400/8)/10.
50/10.
0.2.

i. 0.56 ÷ 7 = ______0.08___________________

Answer:
0.56/7 = 0.08.

Explanation:
In the above-given question,
given that,
0.56/7.
0.08.

j. 0.56 ÷ 70 = _________0.008________________

Answer:
0.56/70 = 0.008.

Explanation:
In the above-given question,
given that,
0.56/70.
(0.56/7)/10.
0.08/10.
0.008.

k. 9.45 ÷ 9 = ____1.05_____________________

Answer:
9.45/9 = 1.05.

Explanation:
In the above-given question,
given that,
9.45/9.
1.05.

l. 9.45 ÷ 900 = ____0.0105__________________

Answer:
9.45/900 = 0.0105

Explanation:
In the above-given question,
given that,
9.45/900.
(9.45/9)/100.
1.05/100.
0.0105.

Question 2.
Use place value reasoning and the first quotient to compute the second quotient. Use place value to explain how you placed the decimal point.
a. 65.6 ÷ 80 = 0.82
65.6 ÷ 8 = ___8.2_______

Answer:
65.6/8 = 8.2.

Explanation:
In the above-given question,
given that,
65.6/8.
8.2.

b. 2.5 ÷ 50 = 0.05
2.5 ÷ 5 = __0.5________

Answer:
2.5/5 = 0.5.

Explanation:
In the above-given question,
given that,
2.5/5.
0.5.

c. 19.2 ÷ 40 = 0.48
19.2 ÷ 4 = ___4.8_______

Answer:
19.2/4 = 4.8.

Explanation:
In the above-given question,
given that,
19.2/4.
4.8.

d. 39.6 ÷ 6 = 6.6
39.6 ÷ 60 = ___0.66_______

Answer:
39.6/60 = 0.66

Explanation:
In the above-given question,
given that,
39.6/60.
(39.6/6)/10.
6.6/10.
0.66.

Question 3.
Chris rode his bike along the same route every day for 60 days. He logged that he had gone exactly
127.8 miles.
a. How many miles did he bike each day? Show your work to explain how you know.

Answer:
The number of miles he bikes each day = 2.13 miles.

Explanation:
In the above-given question,
given that,
Chris rode his bike along the same route every day for 60 days.
He logged that he had gone exactly 127.8 miles.
127.8/60.
2.13.

b. How many miles did he bike over the course of two weeks?

Answer:
The miles did he bike over the course of two weeks = 0.1521 miles.

Explanation:
In the above-given question,
given that,
2 weeks = 14 days.
2.13/14.
0.1521 miles.

Question 4.
2.1 liters of coffee were equally distributed to 30 cups. How many milliliters of coffee were in each cup?

Answer:
The milliliters of coffee were in each group = 14.2 ml.

Explanation:
In the above-given question,
given that,
2.1 liters of coffee were equally distributed to 30 cups.
2.1/30 = 14.2.

Engage NY Eureka Math 5th Grade Module 2 Lesson 22 Answer Key

Eureka Math Grade 5 Module 2 Lesson 22 Problem Set Answer Key

Question 1.
Divide. Then, check using multiplication. The first one is done for you.
a. 580 ÷ 17

Answer:
580/17 = 2.

Explanation:
In the above-given question,
given that,
Divide, and then check.
17 x 3 = 51.
58 – 51 = 7.
70-68 = 2.

b. 730 ÷ 32

Answer:
730/32 = 28.

Explanation:
In the above-given question,
given that,
Divide, and then check.
32 x 2 = 64.
73 – 64 = 9.
92-64 = 28.

c. 940 ÷ 28

Answer:
940/28 = 16.

Explanation:
In the above-given question,
given that,
Divide, and then check.
28 x 3 = 84.
94 – 84 = 10.
100 – 84 = 16.

d. 553 ÷ 23

Answer:
553/23 = 1.

Explanation:
In the above-given question,
given that,
Divide, and then check.
23 x 2 = 46.
55 – 46 = 9.
73 – 72 = 1.

e. 704 ÷ 46

Answer:
704/46 = 14.

Explanation:
In the above-given question,
given that,
Divide, and then check.
46 x 1 = 46.
70 – 46 = 24.
244 – 230 = 14.

f. 614 ÷ 15

Answer:
614/15 = 14.

Explanation:
In the above-given question,
given that,
Divide, and then check.
15 x 4 = 600.
614 – 600 = 14.

Question 2.
Halle solved 664 ÷ 48 below. She got a quotient of 13 with a remainder of 40. How could she use her work below to solve 659 ÷ 48 without redoing the work? Explain your thinking.

Answer:
659/48 = 35.

Explanation:
In the above-given question,
given that,
Divide, and then check.
48 x 1 = 48.
65 – 48 = 17.
179 – 144 = 35.

Question 3.
27 students are learning to make balloon animals. There are 172 balloons to be shared equally among the students.
a. How many balloons are left over after sharing them equally?

Answer:
The balloons are left over after sharing them equally = 10.

Explanation:
In the above-given question,
given that,
27 students are learning to make balloon animals.
There are 172 ballons to be shared equally among the students.
27 x 6 = 162.
172 – 162 = 10.

b. If each student needs 7 balloons, how many more balloons are needed? Explain how you know.

Answer:
The more ballons are needed = 17.

Explanation:
In the above-given question,
given that,
If each student needs 7 balloons,
27 x 7 = 189.
189 – 172 = 17.
the more ballons are needed = 17.

Eureka Math Grade 5 Module 2 Lesson 22 Exit Ticket Answer Key

Divide. Then, check using multiplication.
a. 413 ÷ 19

Answer:
413/19 = 6.

Explanation:
In the above-given question,
given that,
Divide, and then check.
19 x 2 = 38.
41 – 38 = 3.
33 – 27 = 6.

b. 708 ÷ 67

Answer:
708/67 = 12.

Explanation:
In the above-given question,
given that,
Divide, and then check.
67 x 1 = 67.
70 – 67 = 38.
380 – 268 = 12.

Eureka Math Grade 5 Module 2 Lesson 22 Homework Answer Key

Question 1.
Divide. Then, check using multiplication. The first one is done for you.
a. 487 ÷ 21

b. 485 ÷ 15

Answer:
485/15 = 5.

Explanation:
In the above-given question,
given that,
Divide, and then check.
3 x 15 = 45.
48 – 45 = 3.
35 – 30 = 5.

c. 700 ÷ 21

Answer:
553/23 = 1.

Explanation:
In the above-given question,
given that,
Divide, and then check.
23 x 2 = 46.
55 – 46 = 9.
73 – 72 = 1.

d. 399 ÷ 31

Answer:
399/31 = 27.

Explanation:
In the above-given question,
given that,
Divide, and then check.
31 x 1 = 31.
39 – 31 = 8.
89 – 62 = 27.

e. 820 ÷ 42

Answer:
820/42 = 22.

Explanation:
In the above-given question,
given that,
Divide, and then check.
42 x 1 = 42.
82 – 42 = 40.
400 – 378 = 22.

f. 908 ÷ 56

Answer:
908/56 = 12.

Explanation:
In the above-given question,
given that,
Divide, and then check.
56 x 1 = 56.
90 – 56 = 34.
348 – 336 = 12.

Question 2.
When dividing 878 by 31, a student finds a quotient of 28 with a remainder of 11. Check the student’s work, and use the check to find the error in the solution.

Answer:
878/31 = 10.

Explanation:
In the above-given question,
given that,
Divide, and then check.
31 x 2 = 62.
87 – 62 = 25.
258 – 248 = 10.

Question 3.
A baker was going to arrange 432 desserts into rows of 28. The baker divides 432 by 28 and gets a quotient of 15 with remainder 12. Explain what the quotient and remainder represent.

Answer:
28 x 15 = 420.
420 + 12 = 432.

Explanation:
In the above-given question,
given that,
A baker was going to arrange 432 desserts into rows of 28.
28 x 15 = 420.
420 + 12 = 432.

Engage NY Eureka Math 5th Grade Module 2 Lesson 21 Answer Key

Eureka Math Grade 5 Module 2 Lesson 21 Problem Set Answer Key

Question 1.
Divide. Then, check using multiplication. The first one is done for you.
a. 258 ÷ 47

Answer:
258/47 = 23.

Explanation:
In the above-given question,
given that,
Divide, and then check.
47 x 5 = 235.
258 – 235 = 23.

b. 148 ÷ 67

Answer:
148/67 = 14.

Explanation:
In the above-given question,
given that,
Divide, and then check.
67 x 2 = 134.
148 – 134 = 14.

c. 591 ÷ 73

Answer:
591/73 = 7.

Explanation:
In the above-given question,
given that,
Divide, and then check.
73 x 8 = 584.
591 – 584 = 7.

d. 759 ÷ 94

Answer:
759/94 = 7.

Explanation:
In the above-given question,
given that,
Divide, and then check.
94 x 8 = 752.
759 – 752 = 7.

e. 653 ÷ 74

Answer:
653/74 = 61.

Explanation:
In the above-given question,
given that,
Divide, and then check.
74 x 8 = 592.
653 – 592 = 61.

f. 257 ÷ 36

Answer:
257/36 = 5.

Explanation:
In the above-given question,
given that,
Divide, and then check.
36 x 7 = 252.
257 – 252 = 5.

Question 2.
Generate and solve at least one more division problem with the same quotient and remainder as the one below. Explain your thought process.

Answer:
51/5 = 11.

Explanation:
In the above-given question,
given that,
Divide, and then check.
5 x 8 = 40.
51 – 40 = 11.

Question 3.
Assume that Mrs. Giang’s car travels 14 miles on each gallon of gas. If she travels to visit her niece who lives 133 miles away, how many gallons of gas will Mrs. Giang need to make the round trip?

Answer:
The number of gallons of gas will Mrs. Giang need to make the round trip = 1862 gallons.

Explanation:
In the above-given question,
given that,
Assume that Mrs. Giang’s car travels 14 miles on each gallon of gas.
If she travels to visit her niece who lives 133 miles away.
133 x 14 = 1862.
the number of gallons of gas will Mrs. Giang need to make the round trip = 1862 gallons.

Question 4.
Louis brings 79 pencils to school. After he gives each of his 15 classmates an equal number of pencils, he will give any leftover pencils to his teacher.
a. How many pencils will Louis’s teacher receive?

Answer:
The number of pencils will Louis’s teacher receive = 4 pencils.

Explanation:
In the above-given question,
given that,
Louis brings 79 pencils to school.
After he gives each of his 15 classmates an equal number of pencils, he will give any leftover pencils to his teacher.
15 x 5 = 75.
79 – 75 = 4.
so the number of pencils will Louis’s teacher receive = 4 pencils.

b. If Louis decides instead to take an equal share of the pencils along with his classmates, will his teacher receive more pencils or fewer pencils? Show your thinking.

Answer:
The teacher receives more pencils.

Explanation:
In the above-given question,
given that,
If Louis decides instead to take an equal share of the pencils along with his classmates.
16 x 4 = 64.
79 – 64 = 15.
the teacher receives 9 more pencils.

Eureka Math Grade 5 Module 2 Lesson 21 Exit Ticket Answer Key

Divide. Then, check using multiplication.
a. 326 ÷ 53

Answer:
326/53 = 61.

Explanation:
In the above-given question,
given that,
Divide, and then check.
53 x 5 = 265.
326 – 265 = 61.

b. 192 ÷ 38

Answer:
192/38 = 2.

Explanation:
In the above-given question,
given that,
Divide, and then check.
38 x 5 = 190.
192 – 190 = 2.

Eureka Math Grade 5 Module 2 Lesson 21 Homework Answer Key

Question 1.
Divide. Then, check using multiplication. The first one is done for you.
a. 129 ÷ 21

b. 158 ÷ 37

Answer:
158/37 = 10.

Explanation:
In the above-given question,
given that,
Divide, and then check.
37 x 4 = 148.
158 – 148 = 10.

c. 261 ÷ 49

Answer:
261/49 = 61.

Explanation:
In the above-given question,
given that,
Divide, and then check.
49 x 5 = 245.
261 – 245 = 16.

d. 574 ÷ 82

Answer:
574/82 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
82 x 7 = 574.
574 – 574 = 0.

e. 464 ÷ 58

Answer:
464/58 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
58 x 8 = 464.
464 – 464 = 0.

f. 640 ÷ 79

Answer:
640/79 = 61.

Explanation:
In the above-given question,
given that,
Divide, and then check.
79 x 8 = 632.
640 – 632 = 61.

Question 2.
It takes Juwan exactly 35 minutes by car to get to his grandmother’s. The nearest parking area is a 4-minute walk from her apartment. One week, he realized that he spent 5 hours and 12 minutes traveling to her apartment and then back home. How many round trips did he make to visit his grandmother?

Answer:
The round trips he makes to visit his grandmother = 78 rounds.

Explanation:
In the above-given question,
given that,
It takes Juwan exactly 35 minutes by car to get to his grandmother’s.
the nearest parking area is a 4-minute walk from her apartment.
one week, he realized that he spent 5 hours and 12 minutes traveling to her apartment and then back home.
5 x 60 = 300 and 12.
312/4 = 78.

Question 3.
How many eighty-fours are in 672?

Answer:
There are 8 eighty-fours in 672.

Explanation:
In the above-given question,
given that,
there are eighty-fours in 672.
672/84 = 8.