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Engage NY Eureka Math 3rd Grade Module 3 Lesson 9 Answer Key
Students of Grade 3 can get a strong foundation by referring to the Eureka Math Book. It was developed by highly professional mathematics educators and the solutions prepared by them are in a concise manner for easy grasping. To achieve high scores in Grade 3, students need to solve all questions and exercises included in Eureka Grade 3 Book.
Eureka Math Grade 3 Module 3 Lesson 9 Application Problems Answer Key
Solve the following pairs of problems. Circle the pairs where both problems have the same answer.
Question 1.
a. 7 + (6 + 4)
b. (7 + 6) + 4
Answer:
a. 17.
b. 17.
Explanation:
In the above-given question,
given that,
a. 7 + (6 + 4)
6 + 4 = 10.
7 + 10 = 17.
b. (7 + 6) + 4.
7 + 6 = 13.
13 + 4 = 17.
Question 2.
a. (3 × 2) × 4
b. 3 × (2 × 4)
Answer:
a. 24.
b. 24.
Explanation:
In the above-given question,
given that,
a. 4 x (3 x 2)
3 x 2 = 6.
6 x 4 = 24.
b. (2 x 4) x 3.
2 x 4 = 8.
8 x 3 = 24.
Question 3.
a. (2 × 1) × 5
b. 2 × (1 × 5)
Answer:
a. 10.
b. 10.
Explanation:
In the above-given question,
given that,
a. 5 x (2 x 1)
2 x 1 = 2.
5 x 2 = 10.
b. (1 x 5) x 2.
5 x 1 = 5.
5 x 2 = 10.
Question 4.
a. (4 × 2) × 2
b. 4 × (2 × 2)
Answer:
a. 16.
b. 16.
Explanation:
In the above-given question,
given that,
a. 2 x (4 x 2)
4 x 2 = 8.
8 + 2 = 16.
b. (2 x 2) x 4.
2 x 2 = 4.
4 x 4 = 16.
Question 5.
a. (3 + 2) × 5
b. 3 + (2 × 5)
Answer:
a. 25.
b. 13.
Explanation:
In the above-given question,
given that,
a. 5 x (3 + 2)
3 + 2 = 5.
5 x 5 = 25.
b. (2 x 5) + 3.
2 x 5 = 10.
10 + 3 = 13.
Question 6.
a. (8 ÷ 2) × 2
b. 8 ÷ (2 × 2)
Answer:
a. 8.
b. 2.
Explanation:
In the above-given question,
given that,
a. 2 x (8 / 2)
8 / 2 = 4.
2 x 4 = 8.
b. (2 x 2) / 8.
2 x 2 = 4.
8 / 4 = 2.
Question 7.
a. (9 – 5) + 3
b. 9 – (5 + 3)
Answer:
a. 7.
b. 1.
Explanation:
In the above-given question,
given that,
a. 3 + (9 – 5)
9 – 5 = 4.
4 + 3 = 7.
b. (5 + 3) – 9.
5 + 3 = 8.
9 – 8 = 1.
Question 8.
a. (8 × 5) – 4
b. 8 × (5 – 4)
Answer:
a. 36.
b. 8.
Explanation:
In the above-given question,
given that,
a. 4 – (8 x 5)
8 x 5 = 40.
40 – 4 = 36.
b. (5 – 4) x 8.
5 – 4 = 1.
1 x 8 = 8.
Eureka Math Grade 3 Module 3 Lesson 9 Problem Set Answer Key
Question 1.
Use the array to complete the equation.
a.
3 × 12 =___36______
Answer:
The number of rows = 3.
the number of columns = 12.
Explanation:
In the above-given question,
given that,
The number of rows = 3.
the number of columns = 12.
3 x 12 = 36.
b.
(3 × 3) × 4
= __9___ × 4
= __36___
Answer:
The number of rows = 3.
the number of columns = 12.
Explanation:
In the above-given question,
given that,
The number of rows = 3.
the number of columns = 12.
(3 x 3) x 4.
9 x 4 = 36.
c.
3 × 14 = __42___
Answer:
The number of rows = 3.
the number of columns = 14.
Explanation:
In the above-given question,
given that,
The number of rows = 3.
the number of columns = 14.
3 x 14 = 42.
d.
(___2__ × __3___) × 7
= ___6__ × __7___
= __42___
Answer:
The number of rows = 3.
the number of columns = 14.
Explanation:
In the above-given question,
given that,
The number of rows = 3.
the number of columns = 14.
(2 x 3) x 7.
6 x 7 = 42.
Question 2.
Place parentheses in the equations to simplify. Then, solve. The first one has been done for you.
a.
Answer:
3 x 16 = 3 x (2 x 8)
(3 x 2) x 8.
6 x 8 = 48.
Explanation:
In the above-given question,
given that,
the equation 3 x 16.
3 x ( 2 x 8 )
( 3 x 2 ) x 8.
6 x 8 = 48.
b.
Answer:
2 x 14 = 2 x (2 x 7)
(2 x 2) x 7.
4 x 7 = 28.
Explanation:
In the above-given question,
given that,
the equation 2 x 14.
2 x ( 2 x 7 )
( 2 x 2 ) x 7.
4 x 7 = 28.
c.
Answer:
3 x 12 = 3 x (3 x 4)
(3 x 3) x 4.
9 x 4 = 36.
Explanation:
In the above-given question,
given that,
the equation 3 x 12.
3 x ( 3 x 4 )
( 3 x 3 ) x 4.
9 x 4 = 36.
d.
Answer:
3 x 14 = 3 x (2 x 7)
(3 x 2) x 7.
6 x 7 = 42.
Explanation:
In the above-given question,
given that,
the equation 3 x 14.
3 x ( 2 x 7 )
( 3 x 2 ) x 7.
6 x 7 = 42.
e.
Answer:
15 x 3 = 5 x 3 x 3
(5 x 3) x 3.
15 x 3 = 45.
Explanation:
In the above-given question,
given that,
the equation 3 x 15.
3 x ( 5 x 3 )
( 3 x 5 ) x 3.
15 x 3 = 45.
f.
Answer:
2 x 15 = 2 x (5 x 3)
(5 x 3) x 2.
15 x 2 = 30.
Explanation:
In the above-given question,
given that,
the equation 2 x 15.
2 x ( 5 x 3)
( 5 x 3 ) x 2.
15 x 2 = 30.
Question 3.
Charlotte finds the answer to 16 × 2 by thinking about 8 × 4. Explain her strategy.
Answer:
16 x 2 = 32.
8 x 4 = 32.
Explanation:
In the above-given question,
given that,
16 x 2 = 8 x 4.
16 x 2 = 32.
8 x 4 = 32.
Eureka Math Grade 3 Module 3 Lesson 9 Exit Ticket Answer Key
Simplify to find the answer to 18 × 3. Show your work, and explain your strategy.
Answer:
18 x 3 = 54.
Explanation:
In the above-given question,
given that,
18 x 3 = 54.
3 x 18 = 54.
Eureka Math Grade 3 Module 3 Lesson 9 Worksheet Answer Key
Question 1.
Use the array to complete the equation.
a.
3 × 16 = ____48_____
Answer:
The number of rows = 3.
the number of columns = 16.
Explanation:
In the above-given question,
given that,
The number of rows = 3.
the number of columns = 16.
3 x 16 = 48.
b.
(3 × __2__) × 8
= __6___ × ___8__
= __48___
Answer:
The number of rows = 3.
the number of columns = 16.
Explanation:
In the above-given question,
given that,
The number of rows = 3.
the number of columns = 16.
(3 x 2) x 8.
6 x 8 = 48.
c.
4 × 18 = __72___
Answer:
The number of rows = 4.
the number of columns = 18.
Explanation:
In the above-given question,
given that,
The number of rows = 4.
the number of columns = 18.
4 x 18 = 72.
d.
(4 × __2__) × 9
= ___8__ × ___9__
= __72___
Answer:
The number of rows = 4.
the number of columns = 18.
Explanation:
In the above-given question,
given that,
The number of rows = 4.
the number of columns = 18.
(4 x 2) x 9.
8 x 9 = 72.
Question 2.
Place parentheses in the equations to simplify and solve.
a.
Answer:
14 x 3 = 2 x 7 x 3
(3 x 2) x 7.
6 x 7 = 42.
Explanation:
In the above-given question,
given that,
the equation 3 x 14.
3 x ( 2 x 7 )
( 3 x 2 ) x 7.
6 x 7 = 42.
b.
Answer:
12 x 3 = 4 x 3 x 3
(3 x 3) x 4.
9 x 4 = 36.
Explanation:
In the above-given question,
given that,
the equation 3 x 12.
3 x ( 3 x 4 )
( 3 x 3 ) x 4.
9 x 4 = 36.
Question 3.
Solve. Then, match the related facts.
Answer:
20 x 2 = 40.
30 x 2 = 60.
35 x 2 = 70.
40 x 2 = 80.
Explanation:
In the above-given question,
given that,
the equations are 20 x 2 = 40.
30 x 2 = 60.
35 x 2 = 70.
40 x 2 = 80.