## Engage NY Eureka Math 6th Grade Module 4 Lesson 10 Answer Key

### Eureka Math Grade 6 Module 4 Lesson 10 Example Answer Key

Example 1.

Write each expression using the fewest number of symbols and characters. Use math terms to describe the expressions and parts of the expressions.

a 6 × b

Answer:

6b; the 6 is the coefficient and a factor and the b is the variable and a factor. We can call 6b the product,

and we can also call it a term.

b. 4 ∙ 3 ∙ h

Answer:

12h; the 12 is the coefficient and a factor and the h b the variable and a factor. We can call 12h the

produce and we can also call it a term.

c. 2 × 2 × 2 × a × b

Answer:

8ab; 8 is the coefficient and a factor, a and b are both varIables and factor, and 8ab is the product and also a term.

d. 5 × m × 3 × p

Answer:

15mp; 15 is the coefficient and factor, m and p are the variables and factors, 15mp is the product and also a term.

e. 1 × g × w

Answer:

1gw or gw; g and w are the variables and factors, 1 is the coefficient and factor if it is included, and gw is the product and also o term.

Example 2.

To expand multiplication expressions, we will rewrite the expressions by Including the “. “ back into the expressions.

a. 5g

Answer:

5 ∙ g

b. 7abc

Answer:

7 ∙ a ∙ b ∙ c

c. 12g

Answer:

12 ∙ g or 2 ∙ 2 ∙ 3 ∙ g

d. 3h ∙ 8

Answer:

3 ∙ h ∙ 8

e. 7g ∙ 9h

Answer:

7 ∙ g ∙ 9 ∙ h or 7 ∙ g ∙ 3 ∙ 3 ∙ h

Example 3.

a. Find the product of 4f ∙ 7g.

Answer:

It may be easier to see how we will use the fewest number of symbols and characters by expanding the expression first.

4 ∙ f ∙ 7 ∙ g

Now we can multiply the numbers and then multiply the variables.

4 ∙ 7 ∙ f ∙ g

28fg

b. Multiply 3de ∙ 9yz.

Answer:

Let’s start again by expanding the expression. Then, we can rewrite the expression by multiplying the numbers and then multiplying the variables.

3 ∙ d ∙ e ∙ 9 ∙ y ∙ z

3 ∙ 9 ∙ d ∙ e ∙ y ∙ z

27 deyz

c. Double the product of 6y and 3bc.

Answer:

6 ∙ y ∙ 3 ∙ b ∙ c

6 ∙ 3 ∙ b ∙ c ∙ y

18bcy

What does it mean to double something?

It means to multiply by 2.

2 ∙ 18bcy

36 bcy

### Eureka Math Grade 6 Module 4 Lesson 10 Problem Set Answer Key

Question 1.

Rewrite the expression in standard form (use the fewest number of symbols and characters possible).

a. 5 ∙ y

Answer:

5y

b. 7 ∙ d ∙ e

Answer:

7de

c. 5 ∙ 2 ∙ 2 ∙ y ∙ z

Answer:

20yz

d. 3 ∙ 3 ∙ 2 ∙ 5 ∙ d

Answer:

90d

Question 2.

Write the following expressions in expanded form.

a. 3g

Answer:

3 ∙ g

b. 11mp

Answer:

11 ∙ m ∙ p

C. 20yz

Answer:

20 ∙ y ∙ z or 2 ∙ 2 ∙ 5 ∙ y ∙ z

d. 15abc

Answer:

15 ∙ a ∙ b ∙ c or 3 ∙ 5 ∙ a ∙ b ∙ c

Question 3.

Find the product.

a. 5d ∙ 7g

Answer:

35dg

b. 12ab ∙ 3cd

Answer:

36abcd

### Eureka Math Grade 6 Module 4 Lesson 10 Exit Ticket Answer Key

Question 1.

Rewrite the expression in standard form (use the fewest number of symbols and characters possible).

a. 5g ∙ 7h

Answer:

35gh

b. 3 ∙ 4 ∙ 5 ∙ m ∙ n

Answer:

60mn

Question 2.

Name the parts of the expression. Then, write it in expanded form.

a. 14b

Answer:

14 ∙ b or 2 ∙ 7 ∙ b

14 is the coefficient, b is the variable, and 14b is a term and the product of 14 × b.

b. 30jk

Answer:

30 ∙ j ∙ k or 2 ∙ 3 ∙ 5 ∙ j ∙ k

30 is the coefficient, i and k are the variables, and 30jk is a term and the product of 30 ∙ j ∙ k.