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

### Eureka Math Grade 6 Module 4 Lesson 3 Exercise Answer Key

Exercise 1.
Write the addition sentence that describes the model and the multiplication sentence that describes the model.

5 + 5 + 5 and 3 Ã— 5

Exercise 2.
Write an equivalent expression to demonstrate the relationship of multiplication and addition.
a. 6 + 6
2 Ã— 6

b. 3 + 3 + 3 + 3 + 3 + 3
6 Ã— 3

c. 4 + 4 + 4 + 4 + 4
5 Ã— 4

d. 6 Ã— 2
2 + 2 + 2 + 2 + 2+ 2

e. 4 Ã— 6
6 + 6 + 6 + 6

f. 3 Ã— 9
9 + 9 + 9

g. h + h + h + h + h
5h

h. 6y
y + y + y + y + y + y

Exercise 3.
Roberto is not familiar with tape diagrams and believes that he can show the relationship of multiplication and addition on a number line. Help Roberto demonstrate that the expression 3 Ã— 2 is equivalent to 2 + 2 + 2 on a number line.
Possible answer: The first number line shows that there are 3 groups of 2, resulting in 6. The second number line shows the sum of 2 + 2 + 2, resulting in 6.

Since both number lines start at 0 and end at 6, the expressions are equivalent.

Exercise 4.
Tell whether the following equations are true or false. Then, explain your reasoning.
a. x + 6g âˆ’ 6g = x
The equation is true because it demonstrates the addition identity.

b. 2f âˆ’ 4e + 4e = 2f
The equation is true because it demonstrates the subtraction identity.

Exercise 5.
Write an equivalent expression to demonstrate the relationship between addition and multiplication.
a. 6 + 6 + 6 + 6 + 6 + 6 + 6
4 Ã— 6 + 3 Ã— 4

b. d + d + d + w + w + w + w + w
3d + 5w

c. a + a + b + b + b + c + c + c + c
2a + 3b + 4c

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

Write an equivalent expression to show the relationship of multiplication and addition.

Question 1.
10 + 10 + 10
3 Ã— 10

Question 2.
4 + 4 + 4 + 4 + 4 + 4 + 4
7 Ã— 4

Question 3.
8 Ã— 2
2 + 2 + 2 + 2 + 2 + 2 + 2 + 2

Question 4.
3 Ã— 9
9 + 9 + 9

Question 5.
6m
m + m + m + m + m + m

Question 6.
d + d + d + d + d
5d

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

Write an equivalent expression to show the relationship of multiplication and addition.

Question 1.
8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8
9 Ã— 8

Question 2.
4 Ã— 9
9 + 9 + 9 + 9

Question 3.
6 + 6 + 6
3 Ã— 6

Question 4.
7h
h + h + h + h + h + h + h

Question 5.
j + j + j + j + j
5j

Question 6.
u + u + u + u + u + u + u + u + u + u
10u

### Eureka Math Grade 6 Module 4 Lesson 3 Opening Exercise Answer Key

Write two different expressions that can be depicted by the tape diagram shown. One expression should include addition, while the other should include multiplication.

a.

Possible answers: 3 + 3 + 3 or 3 Ã— 3

b.