## 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____

Answer:

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____

Answer:

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____

Answer:

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

Answer:

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

Answer:

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 = ______

Answer:

10 X 4 = 40,

Explanation:

Given 10 X 4 = ____,multiplying 10 with 4 we get 40,

so 10 X 4 = 40.

e. 4 × ______ = 400

Answer:

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

Answer:

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 = ______

Answer:

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

Answer:

90 = 10 X 9,

Explanation:

Given _____ = 10 X 9 multiplying 10 with 9 we get 90,

so 90 = 10 X 9.

i. 900 = ______ × 100

Answer:

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_________

Answer:

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________

Answer:

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__________

Answer:

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_______

Answer:

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____

Answer:

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_____

Answer:

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______

Answer:

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_____

Answer:

5 X 10 = 50,

Explanation:

Given 5 X 10 multiplying 5 with 10 we get 50,

so 5 X 10 = 50.

b. ______ × 5 = 500

Answer:

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

Answer:

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 = ______

Answer:

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

Answer:

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 × ______

Answer:

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 = ______

Answer:

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

Answer:

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

Answer:

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 = ______

Answer:

60 × 4 = 240,

Explanation:

Given 60 X 4, multiplying 60 with 4 we get 240,

so 60 X 4 = 240.

k. 5 × 600 = ______

Answer:

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 = ______,

Answer:

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_______

Answer:

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_____________

Answer:

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 = ________

Answer:

8 X 10 = 80,

Explanation:

Given 8 X 10 = ________, multiplying 8 with 10 we get 80,

so 8 X 10 = 80.

b. ______ × 8 = 800

Answer:

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

Answer:

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 = ______

Answer:

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

Answer:

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

Answer:

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 = ______

Answer:

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

Answer:

40 = 10 X 4,

Explanation:

Given ______ = 10 X 4, multiplying 10 with 4 we get 40,

so 40 = 10 X 4.

i. 400 = ______ × 100

Answer:

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________

Answer:

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___________

Answer:

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 = ____________

Answer:

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_______

Answer:

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_____

Answer:

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 = _____ × _____ × _________

= ______ × _________

= _________

Answer:

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 = _____ × _____ × _________

= ________ × ________

= ________

Answer:

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

Answer:

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.