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

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

Draw place value disks and arrows as shown to represent each product.

Question 1.
5 × 100 = ___500___
5 × 10 × 10 = ___500___
5 ones × 100 = ___500____

5 x 100 = 500,

5 X 10 X 10 = 500,

5 ones × 100 = 500,

Explanation:
Drawn and  placed value disks and arrow as shown above
to represent the products as 5 x 100 = 500, 5 X 10 X 10 = 500
and 5 ones X 100 = 500.

Question 2.
5 × 1,000 = ____5,000______
5 × 10 × 10 × 10 = __5,000_____
5 ones × 1,000 = ____ _5,000____

5 X 1,000 = 5,000,

5 X 10 X 10 X 10 = 5,000,

5 ones × 1,000 = 5,000,

Explanation:
Drawn and  placed value disks and arrow as shown above
to represent the product as 5 x 1,000 = 5,000,
5 X 10 X 10 X 10 = 5,000 and 5 ones X 1,000 = 5,000.

Question 3.
Fill in the blanks in the following equations.
a. 6 × 10 = ____60____
6 x 10 = 60,

Explanation:
Given 6 X 10 multiplying 6 with 10 we get 60,
so 6 X 10 = 60.

b. __100____ × 6 = 600
100 X 6 = 600,

Explanation:
Given ____ × 6 = 600, so we get unknown factor as
600 ÷ 6 = 100, so 100 X 6 = 600.

c. 6,000 = ______ × 1,000
6,000 = 6 X 1,000,

Explanation:
Given 6,000 = ______ × 1,000, so we get unknown factor as
6,000 ÷ 1,000 = 6, so 6,000 = 6 X 1,000.

d. 10 × 4 = ______
10 X 4 = 40,

Explanation:
Given 10 X 4 = ____,multiplying 10 with 4 we get 40,
so 10 X 4 = 40.

e. 4 × ______ = 400
4 X 100 = 400,

Explanation:
Given 4 x ____  = 400, so we get unknown factor as
400 ÷ 4 = 100, so 4 X 100 = 400.

f. ______ × 4 = 4,000
1,000 X 4 = 4,000,

Explanation:
Given ______ × 1,000 = 4,000 so we get unknown factor as
4,000 ÷ 4 = 1,000, so 1,000 X 4 = 4,000.

g. 1,000 × 9 = ______
1,000 X 9 = 9,000,

Explanation:
Given 1,000 X 9 =___ ,multiplying 1,000 with 9 we get 9,000,
so 1,000 X 9 = 9,000.

h. ______ = 10 × 9
90 = 10 X 9,
Explanation:
Given _____ = 10 X 9 multiplying 10 with 9 we get 90,
so 90 = 10 X 9.

i. 900 = ______ × 100
900 = 9 X 100,

Explanation:
Given 900 = ______ × 100 so we get unknown factor as
900 ÷ 100 = 9, so 900 = 9 X 100.

Draw place value disks and arrows to represent each product.

Question 4.
12 × 10 = ____120______
(1 ten 2 ones) × 10 = ______120_________

12 x 10 = 120,
(1 ten 2 ones) × 10 = 120,

Explanation:
Drawn and  placed value disks and arrow as shown above
to represent the products as 12 x 10 = 120 and (1 ten 2 ones) = 120.

Question 5.
18 × 100 = ___18,00_______
18 × 10 × 10 = __18,00________
(1 ten 8 ones) × 100 = ____18,00________

18 × 100 =18,00,
18 × 10 × 10 = 18,00,
(1 ten 8 ones) × 100 = 18,00,

Explanation:
Drawn and  placed value disks and arrow as shown above
to represent the products as 18 x 100 = 18,00 ,
18 X 10 X 10 = 18,00 and (1 ten 8 ones) × 100 = 18,00.

Question 6.
25 × 1,000 = ____25,000______
25 × 10 × 10 × 10 = ____25,000______
(2 tens 5 ones) × 1,000 = ______25,000__________

25 × 1,000 = 25,000,
25 × 10 × 10 × 10 = 25,000,
(2 tens 5 ones) × 1,000 = 25,000,

Explanation:
Drawn and  placed value disks and arrow as shown above
to represent the products as 25 × 1,000 = 25,000,
25 × 10 × 10 × 10 = 25,000 and (2 tens 5 ones) × 1,000 = 25,000.

Decompose each multiple of 10, 100, or 1,000 before multiplying.

Question 7.
3 × 40 = 3 × 4 × __10___
= 12 × __10____
= ___120_______

3 X 40 = 3 X 4 X 10
= 12 X 10
= 120,

Explanation:
Given 3 X 40 decomposing into 10 before multiplying
first we write 40 as 4 X 10,
then we multiply with 3, as 3 X 4 X 10,
Now we multiply 3 and 4 then 10
we get 12 X 10 = 120,
So 3 X 40 = 120.

Question 8.
3 × 200 = 3 × ___2__ × __100____
= ___6___ × ___100___
= ____600____
3 X 200 = 3 X 2 X 100
= 6 X 100
= 600,

Explanation:
Given 3 X 200 decomposing into 100 before multiplying
first we write 200 as 2 X 100,
then we multiply with 3 as 3 X 2 X 100,
Now we multiply 3 and 2 then 100
we get 6 X 100 = 6,00,
So 3 X 200 = 600.

Question 9.
4 × 4,000 = __4___ × __4___× __1,000_______
= ___16___ × __1,000_______
= ____16,000_____
4 × 4,000 = 4 X 4 X 1,000,
=16 X 1,000
= 16,000,

Explanation:
Given 4 X 4,000 decomposing into 1,000 before multiplying
first we write 4,000 as 4 X 1,000,
then we multiply with 4 as 4 X 4 X 1,000,
Now we multiply 4 and 4 then 1,000
we get 16 X 1,000 = 16,000,
So 4 X 4,000 = 16,000.

Question 10.
5 × 4,000 = __5___ × __4___ × ___1,000______
= ___20___ × __1,000______
= __20,000______
5 X 4,000 = 5 X 4 X 1,000,
= 20 X 1,000,
= 20,000,

Explanation:
Given 5 X 4,000 decomposing into 1,000 before multiplying
first we write 4,000 as 4 X 1,000,
then we multiply with 5 as 5 X 4 X 1,000,
Now we multiply 5 and 4 then 1,000
we get 20 X 1,000 = 20,000,
So 5 X 4,000 = 20,000.

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

Fill in the blanks in the following equations.

a. 5 × 10 = ___50_____
5 X 10 = 50,

Explanation:
Given 5 X 10 multiplying 5 with 10 we get 50,
so 5 X 10 = 50.

b. ______ × 5 = 500
100 X 5 = 500,

Explanation:
Given  ____  X 5 = 500 so we get unknown factor as
500 ÷ 5 = 100, so 100 X 5 = 500.

c. 5,000 = ______ × 1000
5,000 = 5 x 1,000,

Explanation:
Given 5,000 = _______ X 1,000, now we get unknown factor as
5,000 ÷ 1,000 = 5, so 5,000 = 5 X 1,000.

d. 10 × 2 = ______
10 X 2 = 20,

Explanation:
Given 10 X 2 multiplying 10 with 2 we get 20,
so 10 X 2 = 20.

e. ______ × 20 = 2,000
100 X 20 = 2,000,

Explanation:
Given_______ X 20 = 2,000, now we get unknown factor as
2,000 ÷ 20 = 100, so 100 X 20 = 2,000.

f. 2,000 = 10 × ______
2,000 = 10 X 200,

Explanation:
Given 2,000 = 10 X _________, now we get unknown factor as
2,000 ÷ 10 = 200, so 2,000 = 10 X 200.

g. 100 × 18 = ______
100 X 18 = 1,800,

Explanation:
Given 100 X 18 multiplying 100 with 18 we get 1,800
so 100 X 18 = 1,800.

h. ______ = 10 × 32
320 = 10 X 32,

Explanation:
Given_______  = 10 X 32, multiplying 10 with 32 we get 320,
so 320 = 10 X 32.

i. 4,800 = ______ × 100
4,800 = 48 X 100,

Explanation:
Given 4,800 = _______ X 100, now we get unknown factor as
4,800 ÷ 100 = 48, so 4,800 = 48 X 100.

j. 60 × 4 = ______
60 × 4 = 240,

Explanation:
Given 60 X 4, multiplying 60 with 4 we get 240,
so 60 X 4 = 240.

k. 5 × 600 = ______
5 X 600 = 3,000,

Explanation:
Given 5 X 600 = _________,multiplying 5 with 600 we get 3,000,
so 5 X 600 = 3,000.

l. 8,000 × 5 = ______,
8,000 X 5 = 40,000,

Explanation:
Given 8,000 X 5 = _______, multiplying 8,000 with 5 we get 40,000,
so 8,000 X 5 = 40,000.

### Eureka Math Grade 4 Module 3 Lesson 4 Homework Answer Key

Question 1.
7 × 100 = ___700_______
7 × 10 × 10 = __700________
7 ones × 100 = ____700_______

7 X 100 = 700,

7 × 10 × 10 = 700,

7 ones × 100 = 700,

Explanation:
Drawn and  placed value disks and arrow as shown above
to represent the products as 7 x 100 = 700, 7 X 10 X 10 = 700
and 7 ones X 100 = 700.

Question 2.
7 × 1,000 = ____7,000______
7 × 10 × 10 × 10 = __7,000________
7 ones × 1,000 = ____7,000_____________

7 × 1,000 = 7,000,

7 × 10 × 10 × 10 = 7,000,

7 ones × 1,000 = 7,000,

Explanation:
Drawn and  placed value disks and arrow as shown above
to represent the products as 7 x 1,000 = 7,000, 7 X 10 X 10 X 10 = 7,000
and 7 ones X 1,000 = 7,000.

Question 3.
Fill in the blanks in the following equations.
a. 8 × 10 = ________
8 X 10 = 80,

Explanation:
Given 8 X 10 = ________, multiplying 8 with 10 we get 80,
so 8 X 10 = 80.

b. ______ × 8 = 800
100 X 8 = 800,

Explanation:
Given ______ X 8 = 800, now we get unknown factor as
800 ÷ 8 = 100, so 100 X 8 = 800.

c. 8,000 = ______ × 1,000
8,000 = 8 X 1,000,

Explanation:
Given 8,000 = 8 X 1,000, now we get unknown factor as
8,000 ÷ 1,000 = 8, so 8,000 = 8 X 1,000.

d. 10 × 3 = ______
10 X 3 = 30,

Explanation:
Given 10 X 3 = ________, multiplying 10 with 3 we get 30,
so 10 X 3 = 30.

e. 3 × ______ = 3,000
3 X 1,000 = 3,000,

Explanation:
Given 3 X ______ = 3,000, now we get unknown factor as
3,000 ÷ 3 = 1,000, so 3 X 1,000 = 3,000.

f. ______ × 3 = 300
100 X 3= 300,

Explanation:
Given ______ X 3 = 300, now we get unknown factor as
300 ÷ 3 = 100, so 100 X 3 = 300.

g. 1,000 × 4 = ______
1,000 X 4 = 4,000,

Explanation:
Given 1,000 X 4 = ________, multiplying 1,000 with 4 we get 4,000,
so 1,000 X 4 = 4,000.

h. ______ = 10 × 4
40 = 10 X 4,

Explanation:
Given ______ = 10 X 4, multiplying 10 with 4 we get 40,
so 40 = 10 X 4.

i. 400 = ______ × 100
400 = 4 X 100,

Explanation:
Given 400 = 4 X 100, now we get unknown factor as
400 ÷ 100 = 4, so 400 = 4 X 100.

Draw place value disks and arrows to represent each product.

Question 4.
15 × 10 = ___150_______
(1 ten 5 ones) × 10 = _____150________

15 X 10 = 150,
(1 ten 5 ones) × 10 = 150,

Explanation:
Drawn and  placed value disks and arrow as shown above
to represent the products as 15 x 10 = 150 and (1 ten 5 ones) = 150.

Question 5.
17 × 100 = ___1,700_______
17 × 10 × 10 = ___1,700_______
(1 ten 7 ones) × 100 = _______1,700___________

17 × 100 = 1,700,
17 × 10 × 10 = 17,00,
(1 ten 7 ones) × 100 = 17,00,

Explanation:
Drawn and  placed value disks and arrow as shown above
to represent the products as 17 x 100 = 17,00 ,
17 X 10 X 10 = 17,00 and (1 ten 7 ones) × 100 = 17,00.

Question 6.
36 × 1,000 = __________
36 × 10 × 10 × 10 = __________
(3 tens 6 ones) × 1,000 = ____________

36 × 1,000 = 36,000,
36 × 10 × 10 × 10 = 36,000,
(3 tens 6 ones) × 1,000 = 36,000,

Explanation:
Drawn and  placed value disks and arrow as shown above
to represent the products as 36 × 1,000 = 36,000,
36 × 10 × 10 × 10 = 36,000 and (3 tens 6 ones) × 1,000 = 36,000.

Decompose each multiple of 10, 100, or 1000 before multiplying.

Question 7.
2 × 80 = 2 × 8 × __16___
= 16 × _10_____
= ___160_______
2 X 80 = 2 X 8 X 10,
= 16 X 10,
= 160,

Explanation:
Given 2 X 80 decomposing into 10 before multiplying
first we write 80 as 8 X 10,
then we multiply with 2, as 2 X 8 X 10,
Now we multiply 2 and 8 then 10
we get 16 X 10 = 160,
So 2 X 80 = 160.

Question 8.
2 × 400 = 2 × _4___ × __100____
= ___8___ × __100____
= ___800_____
2 X 400 = 2 X 4 X 100
= 8 X 100
= 800,

Explanation:
Given 3 X 200 decomposing into 100 before multiplying
first we write 200 as 2 X 100,
then we multiply with 3 as 3 X 2 X 100,
Now we multiply 3 and 2 then 100
we get 6 X 100 = 6,00,
So 3 X 200 = 600.

Question 9.
5 × 5,000 = _____ × _____ × _________
= ______ × _________
= _________
5 × 5,000 = 5 X 5 X 1,000,
=25 X 1,000
= 25,000,

Explanation:
Given 5 X 5,000 decomposing into 1,000 before multiplying
first we write 5,000 as 5 X 1,000,
then we multiply with 5 as 5 X 5 X 1,000,
Now we multiply 5 and 5 then 1,000
we get 25 X 1,000 = 25,000,
So 5 X 5,000 = 25,000.

Question 10.
7 × 6,000 = _____ × _____ × _________
= ________ × ________
= ________
7 X 6,000 = 7 X 6 X 1,000,
= 42 X 1,000,
= 42,000,

Explanation:
Given 7 X 6,000 decomposing into 1,000 before multiplying
first we write 6,000 as 6 X 1,000,
then we multiply with 7 as 7 X 6 X 1,000,
Now we multiply 7 and 6 then 1,000
we get 42 X 1,000 = 42,000,
So 7 X 6,000 = 42,000.

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

______1,000___________
thousands place value chart

Explanation:
A place value chart is diagram that helps us to find and
compare the place value of the digits in numbers through
millions. The place value of a digit in the place value chart
increases by ten times as we shift to the left and decreases
by ten times as we shift to the right.
For example for one thousand place value chart where we write
1,000 as 1 in thousands place, 0 in hundreds place, 0 in tens place
and 0 in ones place as shown above.