## 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

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

a. 5g

Answer:

5 âˆ™ g

b. 7abc

Answer:

7 âˆ™ a âˆ™ b âˆ™ c

c. 12g

Answer:

12 âˆ™ g or 2 âˆ™ 2 âˆ™ 3 âˆ™ g

d. 3h âˆ™ 8

Answer:

3 âˆ™ h âˆ™ 8

e. 7g âˆ™ 9h

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

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

Answer:

5y

b. 7 âˆ™ d âˆ™ e

Answer:

7de

c. 5 âˆ™ 2 âˆ™ 2 âˆ™ y âˆ™ z

Answer:

20yz

d. 3 âˆ™ 3 âˆ™ 2 âˆ™ 5 âˆ™ d

Answer:

90d

Question 2.

Write the following expressions in expanded form.

a. 3g

Answer:

3 âˆ™ g

b. 11mp

Answer:

11 âˆ™ m âˆ™ p

C. 20yz

Answer:

20 âˆ™ y âˆ™ z or 2 âˆ™ 2 âˆ™ 5 âˆ™ y âˆ™ z

d. 15abc

Answer:

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

Answer:

35dg

b. 12ab âˆ™ 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 âˆ™ 7h

Answer:

35gh

b. 3 âˆ™ 4 âˆ™ 5 âˆ™ m âˆ™ n

Answer:

60mn

Question 2.

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

a. 14b

Answer:

14 âˆ™ b or 2 âˆ™ 7 âˆ™ b

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

b. 30jk

Answer:

30 âˆ™ j âˆ™ k or 2 âˆ™ 3 âˆ™ 5 âˆ™ j âˆ™ k

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