Estimating Quotients with Compatible Numbers

Estimate the quotient of 2,460 ÷ 8 using compatible numbers.

• 250

• 300

• 320

• 280

Estimate the quotient of 550 ÷ 9 using compatible numbers.

• 50

• 60

• 70

• 80

What is a common mistake when using compatible numbers?

• Choosing compatible numbers that are not close enough to the original numbers, leading to inaccurate estimates.

• Selecting numbers that are too far apart from each other, causing confusion.

• Using numbers that are not whole numbers, which complicates calculations.

• Rounding numbers to the nearest hundred instead of the nearest ten.

Use compatible numbers to estimate the quotient of 8150 ÷ 9

• 800

• 850

• 900

• 950

Estimate the quotient using compatible numbers: 41.9 ÷ 5.6

• 5

• 6

• 7

• 8

What strategies can be used to find compatible numbers?

• Rounding to the nearest ten or hundred

• Using complex mathematical formulas

• Adding large numbers together

• Subtracting small numbers from large numbers

What is the difference between exact division and estimation?

• Exact division provides a rough approximation, while estimation gives a precise answer.

• Exact division gives a precise answer, while estimation provides a rough approximation that is easier to calculate mentally.

• Exact division and estimation are the same, both providing precise answers.

• Estimation is always more accurate than exact division.

Use compatible numbers to estimate the quotient of 23.4 ÷ 13

• 1 because the compatible numbers are 13 ÷ 13

• 2 because the compatible numbers are 26 ÷ 13

• 3 because the compatible numbers are 30 ÷ 10

• 4 because the compatible numbers are 20 ÷ 10

What is the purpose of using compatible numbers in division?

• To make calculations more complex

• To simplify calculations and make it easier to estimate the result.

• To ensure accurate results without estimation

• To teach advanced division techniques

How can you check the reasonableness of your estimate?

• By comparing it to the exact answer and ensuring it falls within a reasonable range.

• By asking a friend for their opinion on the estimate.

• By ignoring the exact answer and relying on intuition.

• By using a calculator to verify the estimate.