Estimate quotients of whole numbers

To estimate quotients,we use a method that approximates both the dividend and the divisor so that they divide easily

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QUESTION OF

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Views #: 276

Questions #: 15

Time: 15 minutes

Pass Score: 80.0%

Style

Step

List

Mode

Exam

Practice

Estimate a Quotient – Round Both Up

2 pts

volume_mute

Estimate the quotient by rounding both numbers to make the division easier: \(170{,}715 \div 57\)

2,000

3,000

4,000

5,000

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volume_mute

Correct Answer

Explanation

Estimate a Quotient – Round Both Down

2 pts

volume_mute

Estimate: \(33{,}642 \div 42\)

600

700

800

900

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volume_mute

Correct Answer

Explanation

Estimate: 6,193 ÷ 31

2 pts

volume_mute

Estimate: \(6{,}193 \div 31\)

100

200

300

400

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volume_mute

Correct Answer

Explanation

Estimate: 24,871 ÷ 49

2 pts

volume_mute

Estimate: \(24{,}871 \div 49\)

300

400

500

600

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volume_mute

Correct Answer

Explanation

Estimate: 89,753 ÷ 28

2 pts

volume_mute

Estimate: \(89{,}753 \div 28\)

2,000

3,000

4,000

5,000

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Correct Answer

Explanation

Complete the Estimation Rule of Thumb

1 pts

volume_mute

The general guideline for estimating quotients is:

If possible, round both numbers (1) or both numbers (2).

Please drag and drop the selected option in the right place or type it instead

down

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Correct Answer

Explanation

Why Estimate Before Dividing?

1 pts

volume_mute

What is the main reason to estimate a quotient before performing exact long division?

To get an exact answer without doing the full division.

To get a rough idea of the size of the answer and to check for errors.

To determine which divisibility rule applies.

To find the remainder without any calculation.

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volume_mute

Correct Answer

Explanation

Estimate: 43,892 ÷ 61

2 pts

volume_mute

Estimate: \(43{,}892 \div 61\)

500

600

700

800

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volume_mute

Correct Answer

Explanation

Which Rounded Pair Makes Division Easiest?

2 pts

volume_mute

For \(170{,}715 \div 57\), select all rounded pairs that produce a division that is easy to compute mentally.

\(180{,}000 \div 60\)

\(170{,}000 \div 57\)

\(175{,}000 \div 55\)

\(180{,}000 \div 63\)

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volume_mute

Correct Answer

Explanation

Estimate: 5,987 ÷ 19

2 pts

volume_mute

Estimate: \(5{,}987 \div 19\)

200

250

300

350

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volume_mute

Correct Answer

Explanation

Estimate: 47,814 ÷ 78

2 pts

volume_mute

Estimate: \(47{,}814 \div 78\)

400

500

600

700

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volume_mute

Correct Answer

Explanation

Sort the Steps for Estimating a Quotient

2 pts

volume_mute

Please drag and drop the options to sort them

Drag the steps for estimating a quotient into the correct order.

Use the trailing-zeros shortcut to compute the result.

State the result as an estimate of the original quotient.

Round both the dividend and divisor (both up or both down).

Choose rounded values that divide easily.

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Correct Answer

Explanation

Classify the Rounding Strategy Used

2 pts

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Estimations

×\(170{,}715 \div 57 \approx 180{,}000 \div 60\)

×\(33{,}642 \div 42 \approx 32{,}000 \div 40\)

×\(24{,}871 \div 49 \approx 25{,}000 \div 50\)

×\(6{,}193 \div 31 \approx 6{,}000 \div 30\)

Both rounded up

Both rounded down

For each estimation, drag it into the correct rounding-strategy category.

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volume_mute

Correct Answer

Explanation

Estimate: 215,496 ÷ 72

2 pts

volume_mute

Estimate: \(215{,}496 \div 72\)

2,000

3,000

4,000

5,000

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Correct Answer

Explanation

What Is a Quick Approximation Called?

1 pts

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Lives: 10

Your Answer (Missing Word):

When we round numbers and divide to get a quick approximation rather than an exact answer, the result is called an ______.

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Correct Answer

Explanation

Year 6

Estimate a Quotient – Round Both Up

Correct Answer

Explanation

Estimate a Quotient – Round Both Down

Correct Answer

Explanation

Estimate: 6,193 ÷ 31

Correct Answer

Explanation

Estimate: 24,871 ÷ 49

Correct Answer

Explanation

Estimate: 89,753 ÷ 28

Correct Answer

Explanation

Complete the Estimation Rule of Thumb

Correct Answer

Explanation

Why Estimate Before Dividing?

Correct Answer

Explanation

Estimate: 43,892 ÷ 61

Correct Answer

Explanation

Which Rounded Pair Makes Division Easiest?

Correct Answer

Explanation

Estimate: 5,987 ÷ 19

Correct Answer

Explanation

Estimate: 47,814 ÷ 78

Correct Answer

Explanation

Sort the Steps for Estimating a Quotient

Correct Answer

Explanation

Classify the Rounding Strategy Used

Correct Answer

Explanation

Estimate: 215,496 ÷ 72

Correct Answer

Explanation

What Is a Quick Approximation Called?

Correct Answer

Explanation

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