Estimating Quotients Using Compatible Numbers
Estimating Quotients Using Compatible Numbers is a Grade 4 math skill in enVision Mathematics, Chapter 5: Use Strategies and Properties to Divide by 1-Digit Numbers. Students find compatible number pairs to quickly estimate quotients without performing long division.
Key Concepts
Compatible numbers are numbers that are easy to divide mentally because they are related by a basic fact. To estimate a quotient, you can change the dividend, the divisor, or both to nearby compatible numbers.
Common Questions
How do you estimate quotients using compatible numbers?
Replace the dividend with a nearby multiple of the divisor. The compatible pair makes the basic division fact easy to use mentally to estimate the quotient.
What is the difference between this and skill 69 on the same topic?
Both skills teach compatible number estimation for division. This version may approach the topic from a slightly different angle or use different examples.
What is an example of estimating with compatible numbers?
To estimate 185 divided by 4, try 180 divided by 4 equals 45 (since 4 times 45 equals 180 is a known fact).
How do you verify a compatible number estimate is reasonable?
The compatible number should be close to the actual dividend, and the division should use a basic multiplication fact you know well.
What chapter and grade covers this skill?
Estimating quotients using compatible numbers is covered in Grade 4 enVision Mathematics, Chapter 5: Use Strategies and Properties to Divide by 1-Digit Numbers.