## 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
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
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
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
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
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
5 ∙ g

b. 7abc
7 ∙ a ∙ b ∙ c

c. 12g
12 ∙ g or 2 ∙ 2 ∙ 3 ∙ g

d. 3h ∙ 8
3 ∙ h ∙ 8

e. 7g ∙ 9h
7 ∙ g ∙ 9 ∙ h or 7 ∙ g ∙ 3 ∙ 3 ∙ h

Example 3.
a. Find the product of 4f ∙ 7g.
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.
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.
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
5y

b. 7 ∙ d ∙ e
7de

c. 5 ∙ 2 ∙ 2 ∙ y ∙ z
20yz

d. 3 ∙ 3 ∙ 2 ∙ 5 ∙ d
90d

Question 2.
Write the following expressions in expanded form.
a. 3g
3 ∙ g

b. 11mp
11 ∙ m ∙ p

C. 20yz
20 ∙ y ∙ z or 2 ∙ 2 ∙ 5 ∙ y ∙ z

d. 15abc
15 ∙ a ∙ b ∙ c or 3 ∙ 5 ∙ a ∙ b ∙ c

Question 3.
Find the product.
a. 5d ∙ 7g
35dg

b. 12ab ∙ 3cd
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
35gh

b. 3 ∙ 4 ∙ 5 ∙ m ∙ n