Partial Quotient

Partial Quotient

by Nicole Angelo

​2021

​Vocabulary

​To be successful with division, you need to KNOW the vocabulary!

​

​dividend

​

​divisor

​

​quotient

​

​remainder

​Definitions - learn it, live it and love it

​Definitions - learn it, live it and love it

​Definitions - learn it, live it and love it

Fill in the Blanks

$126\div5\ =\ 25\ r\ 1$  

The number 126 represents the

of the division problem.

Use the vocabulary terms below to fill in the blank.

divisor - dividend - quotient - remainder

Multiple Choice

$$126\ \div\ 5\ =25\ r\ 1$$  

This number is the left overs that can not be broken up into the groups.

• divisor

• dividend

• quotient

• remainder

Fill in the Blanks

$126\ \div\ 5\ =\ 25\ r\ 1$  

The number

represents the quotient of the above problem.

Multiple Choice

$$126\ \div\ 5\ =\ 25\ r\ 1$$  

Select the number that represents the dividend.

• 126

• 5

• 25

• 1

What is partial quotients?

Partial quotients is a division strategy that uses friendly multiplication facts to determine the quotient.

​Steps to solving partial quotients

• ​Determine which number represents the divisor and write the three friendly facts.

• ​Next, you are to write the multiples of your friendly facts, with the multiple NOT to exceed the dividend.

• ​Subtract out the biggest multiple, noting the multiplication fact that makes the multiple and circling how many times you used the divisor.

• ​Continue the above step until you reach zero or as close to zero as possible.

• ​Lastly, to determine the quotient, add the numbers that you circled.

​Determine the quotient using partial quotients.

​First - Friendly Facts

​Second - multiples of friendly facts

Third - subtraction using facts until you get to 0

Fourth - add the circled numbers to determine the quotient

Multiple Choice

What is the first step in the partial quotient strategy for division?

• Add the circled numbers to determine the quotient.

• Determine the friendly facts of the divisor.

• Subtract out multiples of the divisor.

• Create the multiples of your friendly facts.

Fill in the Blanks

Subtracting out multiples of the divisor is the

step.

Use the terms below to fill in the blank.

first - second - third - fourth

Multiple Choice

Which step number is creating multiples from your friendly facts?

• First

• Second

• Third

• Fourth

Fill in the Blanks

In the fourth step of the partial quotient process, which math operation do you have to do.

Use the terms below to answer the question.

add - subtract - multiply

Practice

Solve the above problem using partial quotient.

Click to the next slide to see the answer.​

Multiple Choice

$$351\ \div\ 3\ =\ ?$$  

What is the quotient?

• 171

• 107

• 117

• 71

Fill in the Blanks

Using the image, where is the original mistake?

Use the terms below to answer the question.

multiplication - subtraction - adding

Use partial quotient to solve the above problem.​

Multiple Choice

$$765\ \div\ 9$$  

Select the answer that shows friendly facts to the above problem.

• 9x10=90

  9x20=180

  9x50=450

• 9x1=9

  9x2=17

  9x5=44

• 9x1=9

  9x2=18

  9x5=45

• 9x10=90

  9x20=170

  9x50=440

Fill in the Blanks

$765\ \div\ 9$  

Write the largest multiple that can be subtracted from the dividend from the options below. Type the multiple only.

9x2=18 9x10=90 9x50=450 9x100=900

Multiple Choice

$$765\ \div\ 9$$  

What is the quotient?

• 85

• 84

• 83

• 82

Multiple Choice

What is the quotient of

$$3,054\ \div\ 3?$$  

• 118

• 1108

• 1018