Estimating Quotients

Estimating Quotients

How do we know if our answer is reasonable?

Poll

What is the purpose of estimating your quotient before working the problem? Click on your answer.

• To make sure my answer is reasonable

• So I can skip working the long division

• So I know where to start in the multiplication process of solving a long division problem

• To get the final answer without doing any real work

What is the purpose of estimating your quotient before working the problem?

• To make sure my answer is reasonable

• So I know where to start in the multiplication process of solving a long division problem

Multiple Choice

$$9\div3=?$$  

• 9

• 1

• 3

• 10

Fill in the Blanks

$90\div3=?$  

Multiple Choice

$$900\div3=?$$  

• 30

• 3

• 300

Fill in the Blanks

$921\div3$  What would be a reasonable estimate?

Fill in the Blanks

$24\div3=?$  

Fill in the Blanks

$240\div3=?$  

Multiple Choice

In the problem $$47913\div77$$   what would you round the divisor to?

• 75

• 80

• 70

Multiple Choice

In the problem $$47913\div77$$   what would you round the DIVIDEND to in order to be compatible with your NEW divisor of 80?

• 48000

• 50000

• 45000

Multiple Choice

Now that you have made

$$47,913\div77$$  into the easier division problem of

$$48000\div80$$  

what would your estimated quotient be?

• 6

• 60

• 600

Multiple Choice

In the problem

$$34973\div68$$  

what would you round the divisor to?

• 70

• 65

• 60

Multiple Choice

In the problem

$$34973\div68$$  

what would you round the DIVIDEND to in order to be compatible with your NEW divisor of 70?

• 30000

• 34000

• 35000

Multiple Choice

Now that you have made

$$34973\div68$$  into the easier division problem of

$$35000\div70$$ what would your estimated quotient be?

• 5

• 50

• 500

Multiple Choice

In the problem

$$2798\div44$$   what would you round the divisor to?

• 50

• 40

• 45

Multiple Choice

In the problem

$$2798\div44$$   what would you round the DIVIDEND to in order to be compatible with your NEW divisor of 40?

• 2800

• 3000

• 2600

Multiple Choice

Now that you have made

$$2798\div44$$  into the easier division problem of

$$2800\div40$$

what would your estimated quotient be?

• 7

• 70

• 700

Poll

What is the purpose of estimating your quotient before working the problem? Click on your answer.

• To make sure my answer is reasonable

• So I can skip working the long division

• So I know where to start in the multiplication process of solving a long division problem

• To get the final answer without doing any real work

Open Ended

Explain IN DETAIL how you would estimate the quotient for $$27,397\div92$$  .