## Engage NY Eureka Math 4th Grade Module 3 Lesson 7 Answer Key

### Eureka Math Grade 4 Module 3 Lesson 7 Sprint Answer Key

Multiply Multiples of 10, 100, and 1,000  Question 1.
3 × 2 =
3 X 2 = 6,

Explanation:
Given 3 X 2 = multiplying 3 with 2 we get 6,
3 X 2 = 6.

Question 2.
30 × 2 =
30 X 2 =
3 X 10 X 2 = 60,

Explanation:
Given 30 X 2 = writing 30 as 3 X 10 and multiplying with 2
as  3 X 10 X 2 we get 60, So 30 X 2 = 60.

Question 3.
300 × 2 =
300 X 2 =
3 X 100 X 2 = 600,

Explanation:
Given 300 X 2 = writing 300 as 3 X 100 and multiplying 2 we get 600,
3 X 100 X 2 = 600, so 300 X 2 = 600.

Question 4.
3,000 × 2 =
3,000 X 2 =
3 X 1,000 X 2 = 6,000,

Explanation:
Given 3,000 X 2 = writing 3,000 as 3 X 1,000 and multiplying with 2
we get 6,000 as 3 X 1,000 X 2 = 6,000, So 3,000 X 2 = 6,000.

Question 5.
2 × 3,000 =
2 X 3,000 =
2 X 3 X 1,000 = 6,000,

Explanation:
Given 2 X 3,000 = writing 3,000 as 3 X 1,000 and multiplying with
2 we get 6,000,2 X 3 X 1,000 = 6,000, So 2 X 3,000 = 6,000.

Question 6.
2 × 4 =
2 X 4 = 8,

Explanation:
Given 2 X 4 = multiplying 2 with 4 we get 8,
2 X 4 = 8.

Question 7.
2 × 40 =
2 X 40 =

2 X 4 X 10 = 80,

Explanation:
Given 2 X 40 = writing 40 as 4 X 10 and multiplying with 2 we get 80,
as 2 X 4 x 10 = 80, So 2 X 40 = 80.

Question 8.
2 × 400 =
2 X 400 =
2 X 4 X 100 = 800,

Explanation:
Given 2 X 400 = writing 400 as 4 X 100 and multiplying with 2
we get 800 as 2 X 4 X 100 = 800, So 2 X 400 = 800.

Question 9.
2 × 4,000 =
2 X 4,000 =
2 X 4 X 1,000 = 8,000,

Explanation:
Given 2 X 4,000 = writing 4,000 as 4 X 1,000 and multiplying with 2,
we get 8,000, as 2 X 4 X 1,000 = 8,000, So 2 X 4,000 = 8,000.

Question 10.
3 × 3 =
3 X 3 = 9,

Explanation:
Given 3 X 3 = multiplying 3 with 3 we get 9,
3 X 3 = 9.

Question 11.
30 × 3 =
30 X 3 =
3 X 10 X 3 = 90,

Explanation:
Given 30 X 3 = writing 30 as 3 X 10 and multiplying with 3 we get 90
as 3 X 10 X 3 = 90, So 30 X 3 = 90.

Question 12.
300 × 3 =
300 X 3 =
3 X 100 X 3 = 900,

Explanation:
Given 300 X 3 = writing 300 as 3 X 100 and multiplying with 3
we get 900 as 3 X 100 X 3 = 900, So 300 X 3 = 900.

Question 13.
3,000 × 3 =
3,000 X 3 =
3 X 1,000 X 3 = 9,000,

Explanation:
Given 3,000 X 3 = writing 3,000 as 3 X 1,000 and multiplying with 3 we get 9,000 as 3 X 1,000 X 3 = 9,000, So 3,000 X 3 = 9,000.

Question 14.
4,000 × 3 =
4,000 X 3 =
4 X 1,000 X 3 = 12,000,

Explanation:
Given 4,000 X 3 = writing 4,000 as 4 X 1,000 and multiplying
with 3 we get 12,000 so 4 X 1,000 X 3 = 12,000, So 4,000 X 3 = 12,000.

Question 15.
400 × 3 =
400 X 3 =
4 X 100 X 3 = 1,200,

Explanation:
Given 400 X 3 = writing 400 as 4 X 100 and multiplying
with 3 we get 1,200 as 4 X 100 X 3 = 1,200, So 400 X 3 = 1,200.

Question 16.
40 × 3 =
40 X 3 =
4 X 10 X 3 = 120,

Explanation:
Given 40 X 3 = writing 40 as 4 X 10 multiplying with 3 we get 120
as 4 X 10 X 3 = 120, So 40 X 3 = 120.

Question 17.
5 × 3 =
5 X 3 = 15,

Explanation:
Given 5 X 3 = multiplying 5 with 3 we get 15,
5 X 3 = 15.

Question 18.
500 × 3 =
500 X 3 =
5 X 100 X 3 = 1,500,

Explanation:
Given 500 X 3 = writing 500 as 5 X 100 and multiplying with 3 we get 1,500 as 5 x 100 X 3 = 1,500, So 500 X 3 = 1,500.

Question 19.
7 × 2 =
7 X 2 = 14,

Explanation:
Given 7 X 2 = multiplying 7 with 2 we get 14,
7 X 2 = 14.

Question 20.
70 × 2 =
70 X 2 =
7 X 10 X 2 = 140,

Explanation:
Given 70 X 2 = writing 70 as 7 X 10 and multiplying with 2
we get 140 as 7 X 10 X 2 = 140, So 70 X 2 = 140.

Question 21.
4 × 4 =
4 X 4 = 16,

Explanation:
Given 4 X 4 = multiplying 4 with 4 we get 16,
4 X 4 = 16.

Question 22.
4,000 × 4 =
4,000 X 4 =
4 X 1,000 X 4 = 1,600,

Explanation:
Given 4,000 X 4 = writing 4,000 as 4 X 1,000 and multiplying
with 4 we get 1,600 as 4 X 1,000 X 4 = 1,600, So 4,000 X 4 = 1,600.

Question 23.
7 × 5 =
7 X 5 = 35,

Explanation:
Given 7 X 5 = multiplying 7 with 5 we get 35,
7 X 5 = 35.

Question 24.
700 × 5 =
700 X 5 =
7 x 100 X 5 = 3,500,

Explanation:
Given 700 X 5 = writing 700 as 7 X 100 and multiplying
with 5 we get 3,500 as 7 X 100 X 5 = 700, So 700 X 5 = 3,500.

Question 25.
8 × 3 =
8 X 3 = 24,

Explanation:
Given 8 X 3 = multiplying 8 with 3 we get 24,
8 X 3 = 24.

Question 26.
80 × 3 =
80 X 3 =
8 X 10 X 3 = 240,

Explanation:
Given 80 X 3 = writing 80 as 8 X 10 and multiplying
with 3 we get 240 as 8 X 10 X 3 = 240, So 80 X 3 = 240.

Question 27.
9 × 4 =
9 X 4 = 36,

Explanation:
Given 9 X 4 = multiplying 9 with 4 we get 36,
9 X 4 = 36.

Question 28.
9,000 × 4 =
9,000 x 4 =
9 X 1,000 X 4 = 36,000,

Explanation:
Given 9,000 X 4 = writing 9,000 as 9 X 1,000 and multiplying
with 4 we get 36,000 as 9 X 1,000 X 4 = 36,000,
So 9,000 X 4 = 36,000.

Question 29.
7 × 6 =
7 X 6 = 42,

Explanation:
Given 7 X 6 = multiplying 7 with 6 we get 42,
7 X 6 = 42.

Question 30.
7 × 600 =
7 X 600 =
7 X 6 X 100 = 4,200,

Explanation:
Given 7 X 600 = writing 600 as 6 X 100 and multiplying
with 7 we get 4,200 as 7 X 6 X 100 = 4,200 or 7 X 600 = 4,200.

Question 31.
8 × 9 =
8 X 9 = 72,

Explanation:
Given 8 X 9 = multiplying 8 with 9 we get 72,
8 X 9 = 72.

Question 32.
8 × 90 =
8 X 90 =
8 X 9 X 10 = 720,

Explanation:
Given 8 X 90 = writing 90 as 9 X 10 and multiplying
with 8 we get 720 as 8 x 9 X 10 = 720, So 8 X 90 = 720.

Question 33.
6 × 9 =
6 X 9 = 54,

Explanation:
Given 6 X 9 = multiplying 6 with 9 we get 54,
6 X 9 = 54.

Question 34.
6 × 9,000 =
6 X 9,000 =
6 X 9 X 1,000 = 54,000,

Explanation:
Given 6 X 9,000 = writing 9,000 as 9 X 1,000 and multiplying
with 6 we get 54,000 as 6 x 9 X 1,000 = 54,000, So 6 X 9,000 = 54,000.

Question 35.
900 × 9 =
900 X 9 =
9 X 100 X 9 = 8,100,

Explanation:
Given 900 X 9 = writing 900 as 9 X 100 and multiplying
with 9 we get 8,100 as 9 X 100 X 9 = 8,100, So 900 X 9 = 8,100.

Question 36.
8,000 × 8 =
8,000 X 8 =
8 X 1,000 X 8 = 64,000,

Explanation:
Given 8,000 X 8 = writing 8,000 as 8 X 1,000 and multiplying
with 8 we get 64,000 as 8 X 1,000 X 8 = 64,000, So 8,000 X 8 = 64,000.

Question 37.
7 × 70 =
7 X 70 =
7 X 7 X 10 = 490,

Explanation:
Given 7 X 70 = writing 70 as 7 X 10 and multiplying
with 7 we get 490 as 7 X 7 X 10 = 490, So 7 X 70 = 490.

Question 38.
6 × 600 =
6 X 600 =
6 X 6 X 100 = 3,600,

Explanation:
Given 6 X 600 = writing 600 as 6 X 100 and multiplying
with 6 we get 3,600 as 6 x 6 X 100 = 3,600, So 6 X 600 = 3,600.

Question 39.
800 × 7 =
800 X 7 =
8 X 100 X 7 = 5,600,

Explanation:
Given 800 X 7 = writing 800 as 8 x 100 and multiplying
with 7 we get 5,600 as 8 X 100 X 7 = 5,600, So 800 X 7 = 5,600.

Question 40.
7 × 9,000 =
7 X 9,000 =
7 X 9 X 1,000 = 63,000,

Explanation:
Given 7 X 9,000 = writing 9,000 as 9 X 1,000 and multiplying
with 7 we get 63,000 as 7 X 9 X 1,000 = 63,000, So 7 X 9,000 = 63,000.

Question 41.
200 × 5 =
200 X 5 =
2 X 100 X 5 = 1,000,

Explanation:
Given 200 X 5 = writing 200 as 2 X 100 and multiplying
with 5 we get 1,000 as 2 X 100 X 5 = 1,000, So 200 X 5 = 1,000.

Question 42.
5 × 60 =
5 X 60 =
5 X 6 X 10 =300,

Explanation:
Given 5 X 60 = writing 60 as 6 X 10 and multiplying
with 5 we get 300 as 5 X 6 X 10 = 300, So 5 X 60 = 300.

Question 43.
4,000 × 5 =
4,000 X 5 =
4 X 1,000 X 5 = 20,000,

Explanation:
Given 4,000 X 5 = writing 4,000 as 4 X 1,000 and multiplying
with 5 we get 20,000 as 4 x 1,000 X 5 = 20,000, So 4,000 X 5 = 20,000.

Question 44.
800 × 5 =
800 X 5 = 4,000,
8 X 100 X 5 = 4,000,

Explanation:
Given 800 X 5 = writing 800 as 8 X 100 and multiplying
with 5 we get 4,000 as 8 X 100 X 5 = 4,000, So 800 X 5 = 4,000.

Multiply Multiples of 10, 100, and 1,000  Question 1.
4 × 2 =
4 X 2 = 8,

Explanation:
Given 4 X 2 = multiplying 4 with 2 we get 8,
4 X 2 = 8.

Question 2.
40 × 2 =
40 X 2 =
4 X 10 X 2 = 80,

Explanation:
Given 40 X 2 = writing 40 as 4 X 10 and multiplying
with 2 we get 80 as 4 X 10 X 2 = 80, So 40 X 2 = 80.

Question 3.
400 × 2 =
400 X 2 =
4 X 100 X 2 = 800,

Explanation:
Given 400 X 2 = writing 400 as 4 X 100 and multiplying
with 2 we get 800 as 4 X 100 X 2 = 800, So 400 X 2 = 800.

Question 4.
4,000 × 2 =
4,000 X 2 =
4 X 1,000 X 2 = 8,000,

Explanation:
Given 4,000 X 2 = writing 4,000 as 4 X 1,000 and multiplying with 2,
we get 8,000, as 4 X 1,000 X 2 = 8,000, So 4,000 X 2 = 8,000.

Question 5.
2 × 4,000 =
2 X 4,000 =
2 X 4 X 1,000 = 8,000,

Explanation:
Given 2 X 4,000 = writing 4,000 as 4 X 1,000 and multiplying with 2,
we get 8,000, as 2 X 4 X 1,000 = 8,000, So 2 X 4,000 = 8,000.

Question 6.
3 × 3 =
3 X 3 = 9,

Explanation:
Given 3 X 3 = multiplying 3 with 3 we get 9,
3 X 3 = 9.

Question 7.
3 × 30 =
3 X 30 =
3 X 3 X 10 = 90,

Explanation:
Given 3 X 30 = writing 30 as 3 X 10 and multiplying with 3 we get 90
as 3 X 3 X 10 = 90, So 3 X 30 = 90.

Question 8.
3 × 300 =
3 X 300 =
3 X 3 X 100 = 900,

Explanation:
Given 3 X 300 = writing 300 as 3 X 100 and multiplying with 3
we get 900 as 3 X 3 X 100 = 900, So 3 X 300 = 900.

Question 9.
3 × 3,000 =
3 X 3,000 =
3 X 3 X 1,000 = 9,000,

Explanation:
Given 3 X 3,000 = writing 3,000 as 3 X 1,000 and multiplying with 3 we get 9,000 as 3 X 3 X 1,000 = 9,000, So 3 X 3,000 = 9,000.

Question 10.
2 × 3 =
2 X 3 = 6,

Explanation:
Given 2 X 3 = multiplying 2 with 3 we get 6,
2 X 3 = 6.

Question 11.
20 × 3 =
20 X 3 =
2 x 10 X 3 = 60,

Explanation:
Given 20 X 3 = writing 20 as 2 X 10 and multiplying with 3 we get 60
as 2 X 10 X 3 = 60, So 20 X 3 = 60.

Question 12.
200 × 3 =
200 X 3 =
2 X 100 X 3 = 600,

Explanation:
Given 200 X 3 = writing 200 as 2 X 100 and multiplying
with 3 we get 600 as 2 X 100 X 3 = 600, So 200 X 3 = 600.

Question 13.
2,000 × 3 =
2,000 X 3 =
2 X 1,000 X 3 = 6,000,

Explanation:
Given 2,000 X 3 = writing 2,000 as 2 X 1,000 and
multiplying with 3 we get 6,000 as 2 X 1,000 X 3 = 6,000,
So 2,000 X 3 = 6,000.

Question 14.
3,000 × 4 =
3,000 X 4 =
3 X 1,000 X 4 = 12,000,

Explanation:
Given 3,000 X 4 = writing 3,000 as 3 X 1,000 and
multiplying with 4 we get 12,000 as 3 X 1,000 X 4 = 12,000,
So 3,000 X 4 = 12,000.

Question 15.
300 × 4 =
300 X 4 =
3 X 100 X 4 = 1,200,

Explanation:
Given 300 X 4 = writing 300 as 3 X 100 and multiplying
with 4 we get 1,200 as 3 X 100 X 4 = 1,200, So 300 X 4 = 1,200.

Question 16.
30 × 4 =
30 X 4 =
3 X 10 X 4 = 120,

Explanation:
Given 30 X 4 = writing 30 as 3 X 10 and multiplying
with 4 we get 120 as 3 X 10 X 4 = 120, So 30 X 4 = 120.

Question 17.
3 × 5 =
3 X 5 = 15,

Explanation:
Given 3 X 5 = multiplying 3 with 5 we get 15
as 3 X 5 = 15, So 3 X 5 = 15.

Question 18.
30 × 5 =
30 X 5 =
3 X 10 X 5 = 150,

Explanation:
Given 30 X 5 = writing 30 as 3 X 10 and multiplying
with 5 we get 150 as 3 X 10 X 5 = 150, So 30 X 5 = 150.

Question 19.
6 × 2 =
6 X 2 = 12,

Explanation:
Given 6 X 2 = multiplying 6 with 2 we get 12
as 6 X 2 = 12, So 6 X 2 = 12.

Question 20.
60 × 2 =
60 X 2 =
6 X 10 X 2 = 120,

Explanation:
Given 60 X 2 = writing 60 as 6 X 10 and multiplying
with 2 we get 120 as 6 X 10 X 2 = 120, So 60 X 2 = 120.

Question 21.
4 × 4 =
4 X 4 = 16,

Explanation:
Given 4 X 4 = multiplying 4 with 4 we get 16
as 4 X 4 = 16, So 4 X 4 = 16.

Question 22.
400 × 4 =
400 X 4 =
4 X 100 X 4 = 1,600,

Explanation:
Given 400 X 4 = writing 400 as 4 X 100 and multiplying
with 4 we get 1,600 as 4 X 100 X 4 = 1,600, So 400 X 4 = 1,600.

Question 23.
9 × 5 =
9 X 5 = 45,

Explanation:
Given 9 X 5 = multiplying 9 with 5 we get 45 as
9 X 5 = 45.

Question 24.
900 × 5 =
9 X 100 X 5 = 4,500,

Explanation:
Given 900 X 5 = writing 900 as 9 X 100 and multiplying
with 5 we get 4,500 as 9 X 100 X 5 = 4,500, So 900 X 5 = 4,500.

Question 25.
8 × 4 =
8 X 4 = 32,

Explanation:
Given 8 X 4 = multiplying 8 with 4 we get 32 as
8 X 4 = 32.

Question 26.
80 × 4 =
80 X 4 =
8 X 10 X 4 = 320,

Explanation:
Given 80 X 4 = writing 80 as 8 X 10 and multiplying
with 4 we get 320 as 8 X 10 X 4 = 320, So 80 X 4 = 320.

Question 27.
9 × 3 =
9 X 3 = 27,

Explanation:
Given 9 X 3 = multiplying 9 with 3 we get 27 as
9 X 3 = 27.

Question 28.
9,000 × 3 =
9,000 X 3 =
9 X 1,000 X 3 = 27,000,

Explanation:
Given 9,000 X 3 = writing 9,000 as 9 X 1,000 and
multiplying with 3 we get 27,000 as 9 X 1,000 X 3 = 27,000,
So 9,000 X 3 = 27,000.

Question 29.
6 × 7 =
6 X 7 = 42,

Explanation:
Given 6 X 7 = multiplying 6 with 7 we get 42 as
6 X 7 = 42.

Question 30.
6 × 700 =
6 X 700 =
6 X 7 X 100 = 4,200,

Explanation:
Given 6 X 700 = writing 700 as 7 X 100 and multiplying
with 6 we get 4,200 as 6 X 7 X 100 = 4,200, So 6 X 700 = 4,200.

Question 31.
8 × 7 =
8 X 7 = 56,

Explanation:
Given 8 X 7 = multiplying 8 with 7 we get 56 as
8 X 7 = 56.

Question 32.
8 × 70 =
8 X 70 =
8 X 7 X 10 = 560,

Explanation:
Given 8 X 70 = writing 70 as 7 X 10 and multiplying
with 8 we get 560 as 8 x 7 X 10 = 560, So 8 X 70 = 560.

Question 33.
9 × 6 =
9 X 6 = 54,

Explanation:
Given 9 X 6 = multiplying 9 with 6 we get 54 as
9 X 6 = 54.

Question 34.
9 × 6,000 =
9 X 6,000 =
9 X 6 X 1,000 = 54,000,

Explanation:
Given 9 X 6,000 = writing 6,000 as 6 X 1,000 and multiplying with 9,
we get 54,000, as 9 X 6 X 1,000 = 54,000, So 9 X 6,000 = 54,000.

Question 35.
800 × 8 =
800 X 8 =
8 X 100 X 8 = 6,400,

Explanation:
Given 800 X 8 = writing 800 as 8 X 100 and multiplying
with 8 we get 6,400 as 8 X 100 X 8 = 6,400, So 800 X 8 = 6,400.

Question 36.
9,000 × 9 =
9,000 x 9 =
9 X 1,000 X 9 = 81,000,

Explanation:
Given 9,000 X 9 = writing 9,000 as 9 X 1,000 and multiplying
with 9 we get 81,000 as 9 X 1,000 X 9 = 81,000,
So 9,000 X 9 = 81,000.

Question 37.
7 × 700 =
7 X 700 =
7 X 7 X 100 = 4,900,

Explanation:
Given 7 X 700 = writing 700 as 7 X 100 and multiplying
with 7 we get 4,900 as 7 X 7 X 100 = 4,900, So 7 X 700 = 4,900.

Question 38.
6 × 60 =
6 X 60 =
6 X 6 X 10 = 360,

Explanation:
Given 6 X 60 = writing 60 as 6 X 10 and multiplying
with 6 we get 360 as 6 x 6 X 10 = 360, So 6 X 60 = 360.

Question 39.
700 × 8 =
700 X 8 =
7 X 100 X 8 = 5,600,

Explanation:
Given 700 X 8 = writing 700 as 7 X 100 and multiplying
with 8 we get 5,600 as 7 X 100 X 8 = 5,600, So 700 X 8 = 5,600.

Question 40.
9 × 7,000 =
9 X 7000 =
9 X 7 X 1,000 = 63,000,

Explanation:
Given 9 X 7,000 = writing 7,000 as 7 X 1,000 and multiplying with 9,
we get 63,000, as 9 X 7 X 1,000 = 63,000, So 9 X 7,000 = 63,000.

Question 41.
20 × 5 =
20 X 5 =
2 X 10 X 5 = 100,

Explanation:
Given 20 X 5 = writing 20 as 2 X 10 and multiplying
with 5 we get 100 as 2 X 10 X 5 = 100, So 20 X 5 = 100.

Question 42.
5 × 600 =
5 X 600 =
5 X 6 X 100 = 3,000,

Explanation:
Given 5 X 600 = writing 600 as 6 X 100 and multiplying
with 5 we get 3,000 as 5 X 6 X 100 = 3,000, So 5 X 600 = 3,000.

Question 43.
400 × 5 =
400 X 5 =
4 X 100 X 5 = 2,000,

Explanation:
Given 400 X 5 = writing 400 as 4 X 100 and multiplying
with 5 we get 2,000 as 4 X 100 X 5 = 2,000, So 400 X 5 = 2,000.

Question 44.
8,000 × 5 =
8,000 x 5 =
8 X 1,000 X 5 = 40,000,

Explanation:
Given 8,000 X 5 = writing 8,000 as 8 X 1,000 and multiplying
with 5 we get 40,000 as 8 X 1,000 X 5 = 40,000,
So 8,000 X 5 = 40,000.

### Eureka Math Grade 4 Module 3 Lesson 7 Problem Set Answer Key

Question 1.
Represent the following expressions with disks, regrouping as necessary, writing a matching expression, and recording the partial products vertically as shown below.
a. 1 × 43   43
X1
3—-1 X 3 ones
+40
—-1 X 4 tens
43

Explanation:
Represented the following expression 1 X43 with disks,
regrouped as necessary, wrote a matching expression, and
recorded the partial products vertically as shown above 1 X 43 = 43.

b. 2 × 43  Explanation:
Represented the following expression 2 X 43 with disks,
regrouped as necessary, wrote a matching expression, and
recorded the partial products vertically as shown above 2 X 43 = 86.

c. 3 × 43  Explanation:
Represented the following expression 3 X 43 with disks,
regrouped as necessary, wrote a matching expression, and
recorded the partial products vertically as shown above 3 X 43 = 129.

d. 4 × 43  Explanation:
Represented the following expression 4 X 43 with disks,
regrouped as necessary, wrote a matching expression, and
recorded the partial products vertically as shown above 4 X 43 = 172.

Question 2.
Represent the following expressions with disks,
regrouping as necessary. To the right, record the partial
products vertically.
a. 2 × 36  Explanation:
Represented the following expression 2 X 36 with disks,
regrouped as necessary. To the right, record the partial
products vertically as 2 X 36 = 72 as shown above.

b. 3 × 61  Explanation:
Represented the following expression 3 X 61 with disks,
regrouped as necessary. To the right, recorded the partial
products vertically as 3 X 61 = 183 as shown above.

c. 4 × 84  Explanation:
Represented the following expression 4 X 84 with disks,
regrouped as necessary. To the right, recorded the partial
products vertically as 4 X 84 = 336 as shown above.

### Eureka Math Grade 4 Module 3 Lesson 7 Exit Ticket Answer Key

Represent the following expressions with disks, regrouping as necessary. To the right, record the partial products vertically.

Question 1.
6 × 41  Explanation:
Represented the following expression 6 X 41 with disks,
regrouped as necessary. To the right, recorded the partial
products vertically as 6 X 41 = 246 as shown above.

Question 2.
7 × 31  Explanation:
Represented the following expression 7 X 31 with disks,
regrouped as necessary. To the right, recorded the partial
products vertically as 7 X 31 = 217 as shown above.

### Eureka Math Grade 4 Module 3 Lesson 7 Homework Answer Key

Question 1.
Represent the following expressions with disks, regrouping as necessary, writing a matching expression, and recording the partial products vertically.
a. 3 × 24  Explanation:
Represented the following expression 3 X 24 with disks,
regrouped as necessary. To the right, recorded the partial
products vertically as 3 X 24 = 72 as shown above.

b. 3 × 42  Explanation:
Represented the following expression 3 X 42 with disks,
regrouped as necessary. To the right, recorded the partial
products vertically as 3 X 42 = 126 as shown above.

c. 4 × 34  Explanation:
Represented the following expression 4 X 34 with disks,
regrouped as necessary. To the right, recorded the partial
products vertically as 4 X 34 = 136 as shown above.

Question 2.
Represent the following expressions with disks, regrouping as necessary. To the right, record the partial products vertically.
a. 4 × 27  Explanation:
Represented the following expression 4 X 27 with disks,
regrouped as necessary. To the right, recorded the partial
products vertically as 4 X 27 = 108 as shown above.

b. 5 × 42  Explanation:
Represented the following expression 5 X 42 with disks,
regrouped as necessary. To the right, recorded the partial
products vertically as 5 X 42 = 210 as shown above.

Question 3.
Cindy says she found a shortcut for doing multiplication problems.
When she multiplies 3 × 24, she says, “3 × 4 is 12 ones,
or 1 ten and 2 ones. Then, there’s just 2 tens left in 24,
so add it up, and you get 3 tens and 2 ones.”
Do you think Cindy’s shortcut works?
Explain your thinking in words, and justify your
response using a model or partial products.
No, Cindy’s shortcut will not work, Explanation:
Given Cindy says she found a shortcut for doing multiplication problems.
When she multiplies 3 × 24, she says, “3 × 4 is 12 ones,
or 1 ten and 2 ones. Then, there’s just 2 tens left in 24,
so add it up, and you get 3 tens and 2 ones.”
No I don’t think Cindy’s shortcut works,
because 3 X 24 = 72 not 32,
Explained my thinking in words, and justified
using a model or partial products as show above.

### Eureka Math Grade 4 Module 3 Lesson 7 Template Answer Key _10,000____________
ten thousand value chart 