Assessing the Reasonableness of Quotients with Compatible Numbers

The video tutorial explains how to assess the reasonableness of division answers by using compatible numbers. It introduces the concept of checking answers for mathematical sense and demonstrates this through two examples. In the first example, Danielle's division of 413 by 7 is analyzed, showing that her answer is not reasonable. In the second example, Tracy's division of 5625 by 9 is examined, and her answer is found to be reasonable. The tutorial emphasizes the importance of using compatible numbers to estimate and verify division results.

What is one method to verify if a division answer is reasonable?

• Recalculate the problem using a calculator

• Check if the dividend is a prime number

• Ask a friend for their opinion

• Use compatible numbers to estimate the quotient

Why is Danielle's answer of 89 for 413 divided by 7 considered unreasonable?

• Because 413 is not a multiple of 7

• Because 7 is not a divisor of 413

• Because 89 is not a whole number

• Because the estimated quotient using compatible numbers is closer to 60

What compatible number was used to estimate the quotient for 413 divided by 7?

• 430

• 400

• 410

• 420

How was the number 5625 adjusted to be compatible with 9 in Tracy's problem?

• Changed to 5600

• Changed to 5500

• Changed to 5400

• Changed to 5300

Why is Tracy's answer of 625 for 5625 divided by 9 considered reasonable?

• Because 625 is a round number

• Because 9 is a factor of 5625

• Because the estimated quotient using compatible numbers is close to 600

• Because 625 is a multiple of 9