M2L10 - Partial Products with Decimals

What is the definition of product?

• The answer to an addition problem

• The answer to a subtraction problem

• The answer to a multiplication problem

• The answer to a subtraction problem

What is the definition of the distributive property?

• Breaking a number into a whole number and decimal

• Multiplying each part of a number by the same number

• The answer to a multiplication problem

• Finding the product of each part of a number individually

What is the definition of partial products?

• Solving the product of each part of a number individually

• The answer to a multiplication problem

• Multiplying each part by the same number

• Finding the sum of all of the parts

How would 300 x 12.04 be written to show the distributive property?

• 300 x 12.04

• 3 x 0 x 0 x 12 x 0.04

• 300 x 12 + 300 x 0.04

• 300 x 12 + 0.4

Answer explanation

The distributive property means to multiply each part of the number by the same number.

12.04 can be broken into 12 and 0.04. Both of these parts need to by multiplied by 300 then added back together.

How would 18.3 x 400 be written to show the distributive property?

• 18 x 400 + 0.3

• 18 x 400 + 0.3 x 400

• 18 + 0.3 + 400

• 18 x 0.3 + 18 x 400

How would 700 x 19.93 be written to show the distributive property?

• 700 x 19 x 0.93

• 700 + 19 x 700 + 0.93

• 700 x 19 + 700 x 0.93

• 19.93 x 700

Write 200 x 81.03 to show the distributive property. DO NOT SOLVE.

Write 200 x 81.03 using partial products. DO NOT SOLVE, NO COMMA, INCLUDE THE PLUS SIGN IN YOUR ANSWER. You may use your calculator.

200 x 81 + 200 x 0.03

____+____

Solve using the distributive property and partial products (NO COMMA IN YOUR ANSWER).

500 x 16.01

500 x 16 + 500 x 0.01

Solve using the distributive property and partial products.

• 15,000

• 94,200

• 420

• 15,420