Engage NY Eureka Math 4th Grade Module 3 Lesson 6 Answer Key

Eureka Math Grade 4 Module 3 Lesson 6 Problem Set Answer Key

Represent the following problem by drawing disks in the place value chart.

Question 1.
To solve 20 Ã— 40, think
(2 tens Ã— 4) Ã— 10 = __800___
20 Ã— (4 Ã— 10) = ___800_____
20 Ã— 40 = _____800__

20 X 40 = 800,
(2 tens Ã— 4) Ã— 10 = 8 hundreds,
20 Ã— (4 Ã— 10) = 800,
20 Ã— 40 = 800,

Explanation:
Drawn place value disks to represent the value of the
following expression as shown above as 20 X 40 = 800,
(2 tens Ã— 4) Ã— 10 =8 hundreds, 20 Ã— (4 Ã— 10) = 800 and
20 Ã— 40 = 800.

Question 2.
Draw an area model to represent 20 Ã— 40.
2 tens Ã— 4 tens = _____ __8 hundreds__________

Explanation:
Drawn an area model to represent 20 Ã— 40,
as shown above 2 tens X 4 tens = 8 hundreds.

Question 3.
Draw an area model to represent 30 Ã— 40.
3 tens Ã— 4 tens = _____ twelve hundreds_____________
30 Ã— 40 = __12,00____

Explanation:
Drawn an area model to represent 30 Ã— 40,
as shown above 3 tens X 4 tens = 12 hundreds.

Question 4.
Draw an area model to represent 20 Ã— 50.
2 tens Ã— 5 tens = _____ ___1 thousand__________
20 Ã— 50 = __1,000_____

Explanation:
Drawn an area model to represent 20 Ã— 50,
as shown above 2 tens X 5 tens = 1 thousand.

Rewrite each equation in unit form and solve.

Question 5.
20 Ã— 20 = __400______
2 tens Ã— 2 tens = ___4__ hundreds
20 X 20 = 400,
2 tens Ã— 2 tens = 4 hundreds,

Explanation:
Given equation is 20 X 20, Rewrote in unit form as
2 tens X 2 tens = 4 hundreds, So 20 X 20 = 40.

Question 6.
60 Ã— 20 = ___1,200____
6 tens Ã— 2 __tens___ = __12__ hundreds
60 X 20 = 1,200,
6 tens Ã— 2 tens = 12 hundreds,

Explanation:
Given equation is 60 X 20 = 1,200,Â  Rewrote in unit form as
6 tens X 2 tens = 12 hundreds, So 60 X 20 = 1,200.

Question 7.
70 Ã— 20 = __1,400_____
__7___ tens Ã— __2___ tens = 1,400__
70 X 20 = 1,400,
7 tens X 2 tens = 1,400,

Explanation:
Given equation is 70 X 20 = 1,400, Rewrote in unit form as
7 tens X 2 tens = 14 hundreds, So 70 X 20 = 1,400.

Question 8.
70 Ã— 30 = ___2,100____
__7__ __tens_____ Ã— __3__ _tens______ = __21__ hundreds
70 X 30 = 2,100,
7 tens X 3 tens = 21 hundreds,

Explanation:
Given equation is 70 X 30 = 2,100, Rewrote in unit form as
7 tens X 3 tens = 21 hundreds, So 70 X 30 = 2,100.

Question 9.
If there are 40 seats per row, how many seats are in 90 rows?
There are 3,600 seats in 90 rows,

Explanation:
Given there are 40 seats per row, So number of seats in 90 rows are
40 seats X 90 = 3,600 seats, therefore there are 3,600 seats in 90 rows.

Question 10.
One ticket to the symphony costs $50. How much money is collected if 80 tickets are sold? Answer:$4,000 amount money is collected if 80 tickets are sold,

Explanation:
Given one ticket to the symphony costs $50. So money collected if 80 tickets are sold are$50 X 80 = $4,000. Therefore,$4,000 amount money is collected if 80 tickets are sold.

Eureka Math Grade 4 Module 3 Lesson 6 Exit Ticket Answer Key

Represent the following problem by drawing disks in the place value chart.
Question 1.
To solve 20 Ã— 30, think
(2 tens Ã— 3) Ã— 10 = ____600____
20 Ã— (3 Ã— 10) = ____600____
20 Ã— 30 = ___600____

20 X 30 = 600,
(2 tens Ã— 3) Ã— 10 =6 hundreds,
20 Ã— (3 Ã— 10) = 600,
20 Ã— 30 = 600,

Explanation:
Drawn place value disks to represent the value of the
following expression as shown above as 20 X 30 = 600,
(2 tens Ã— 3) Ã— 10 =3 hundreds, 20 Ã— (3 Ã— 10) = 600 and
20 Ã— 30 = 600.

Question 2.
Draw an area model to represent 20 Ã— 30.
2 tens Ã— 3 tens = _____ _6 hundreds___________

Explanation:
Drawn an area model to represent 20 Ã— 30,
as shown above 2 tens X 3 tens = 6 hundreds.

Question 3.
Every night, Eloise reads 40 pages. How many total pages
does she read at night during the 30 days of November?
1,200 pages she read at night during the 30 days
of November,

Explanation:
Given every night, Eloise reads 40 pages, Total number of
pages she read at night during the 30 days of November are
40 pages X 30 = 1,200 pages, So Eloise 1,200 pages she read at
night during the 30 days of November.

Represent the following problem by drawing disks in the place value chart.

Question 1.
To solve 30 Ã— 60, think
(3 tens Ã— 6) Ã— 10 = ___1,800_____
30 Ã— (6 Ã— 10) = __1,800______
30 Ã— 60 = __1,800_____

30 X 60 = 1,800,
(3 tens Ã— 6) Ã— 10 =18 hundreds,
30 Ã— (6 Ã— 10) = 1,800,
30 Ã— 60 = 1,800,

Explanation:
Drawn place value disks to represent the value of the
following expression as shown above as 30 X 60 = 1,800,
(3 tens Ã— 6) Ã— 10 =18 hundreds, 30 Ã— (6 Ã— 10) = 1,800 and
30 Ã— 60 = 1,800.

Question 2.
Draw an area model to represent 30 Ã— 60.
3 tens Ã— 6 tens = _____18 hundreds_____________

Explanation:
Drawn an area model to represent 30 Ã— 60,
as shown above 3 tens X 6 tens = 18 hundreds.

Question 3.
Draw an area model to represent 20 Ã— 20.
2 tens Ã— 2 tens = _____ 4 hundreds_____________
20 Ã— 20 = __400____

Explanation:
Drawn an area model to represent 20 Ã— 20,
as shown above 2 tens X 2 tens = 4 hundreds.

Question 4.
Draw an area model to represent 40 Ã— 60.
4 tens Ã— 6 tens = __24___ _hundreds____________
40 Ã— 60 = ___240____

Explanation:
Drawn an area model to represent 40 Ã— 60,
as shown above 4 tens X 6 tens = 24 hundreds.

Rewrite each equation in unit form and solve.

Question 5.
50 Ã— 20 = ___1,000_____
5 tens Ã— 2 tens = _10____ hundreds
50 X 20 = 1,000,
5 tens X 2 tens = 10 hundreds,

Explanation:
Given equation is 50 X 20 = 1,000, Rewrote in unit form as
5 tens X 2 tens = 10 hundreds, So 50 X 20 = 1,000.

Question 6.
30 Ã— 50 = _1,500____
3 tens Ã— 5 _tens___ = _15___ hundreds
30 X 50 = 1,500,
3 tes X 5 tens = 15 hundreds,

Explanation:
Given equation is 30 X 50 = 1,500, Rewrote in unit form as
3 tens X 5 tens = 15 hundreds, So 30 X 50 = 1,500.

Question 7.
60 Ã— 20 = __1,200______
__6___ tens Ã— __2___ tens = 12 __hundreds_______
60 X 20 = 1,200,
6 tens X 2 tens = 12 hundreds,

Explanation:
Given equation is 60 X 20 = 1,200, Rewrote in unit form as
6 tens X 2 tens = 12 hundreds, So 60 X 20 = 1,200.

Question 8.
40 Ã— 70 = __2,800______
_4___ ___tens____ Ã— _7___ __tens_____ = __28___ hundreds
40 X 70 = 2,800,
4 tens X 7 tens = 28 hundreds,

Explanation:
Given equation is 40 X 70 = 2,800, Rewrote in unit form as
4 tens X 7 tens = 28 hundreds, So 40 X 70 = 2,800.

Question 9.
There are 60 seconds in a minute and 60 minutes in an hour.
How many seconds are in one hour?
There are 3,600 seconds in one hour,

Explanation:
There are 60 seconds in a minute and 60 minutes in an hour.
Number of seconds are there in one hour is 60 seconds X 60 =
3,600 seconds,therefore, there are 3,600 seconds in one hour.

Question 10.
To print a comic book, 50 pieces of paper are needed.
How many pieces of paper are needed to print 40 comic books?