## 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 Ã— 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 âˆ™ 3 âˆ™ 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 Ã— 2 Ã— 2 Ã— a Ã— 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 Ã— m Ã— 3 Ã— 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 Ã— g Ã— 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 â€œ. â€œ back into the expressions.
a. 5g
5 âˆ™ g

b. 7abc
7 âˆ™ a âˆ™ b âˆ™ c

c. 12g
12 âˆ™ g or 2 âˆ™ 2 âˆ™ 3 âˆ™ g

d. 3h âˆ™ 8
3 âˆ™ h âˆ™ 8

e. 7g âˆ™ 9h
7 âˆ™ g âˆ™ 9 âˆ™ h or 7 âˆ™ g âˆ™ 3 âˆ™ 3 âˆ™ h

Example 3.
a. Find the product of 4f âˆ™ 7g.
It may be easier to see how we will use the fewest number of symbols and characters by expanding the expression first.
4 âˆ™ f âˆ™ 7 âˆ™ g
Now we can multiply the numbers and then multiply the variables.
4 âˆ™ 7 âˆ™ f âˆ™ g
28fg

b. Multiply 3de âˆ™ 9yz.
Letâ€™s start again by expanding the expression. Then, we can rewrite the expression by multiplying the numbers and then multiplying the variables.
3 âˆ™ d âˆ™ e âˆ™ 9 âˆ™ y âˆ™ z
3 âˆ™ 9 âˆ™ d âˆ™ e âˆ™ y âˆ™ z
27 deyz

c. Double the product of 6y and 3bc.
6 âˆ™ y âˆ™ 3 âˆ™ b âˆ™ c
6 âˆ™ 3 âˆ™ b âˆ™ c âˆ™ y
18bcy
What does it mean to double something?
It means to multiply by 2.
2 âˆ™ 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 âˆ™ y
5y

b. 7 âˆ™ d âˆ™ e
7de

c. 5 âˆ™ 2 âˆ™ 2 âˆ™ y âˆ™ z
20yz

d. 3 âˆ™ 3 âˆ™ 2 âˆ™ 5 âˆ™ d
90d

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

b. 11mp
11 âˆ™ m âˆ™ p

C. 20yz
20 âˆ™ y âˆ™ z or 2 âˆ™ 2 âˆ™ 5 âˆ™ y âˆ™ z

d. 15abc
15 âˆ™ a âˆ™ b âˆ™ c or 3 âˆ™ 5 âˆ™ a âˆ™ b âˆ™ c

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

b. 12ab âˆ™ 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 âˆ™ 7h
35gh

b. 3 âˆ™ 4 âˆ™ 5 âˆ™ m âˆ™ n
60mn

Question 2.
Name the parts of the expression. Then, write it in expanded form.
a. 14b