Learn on PengiEureka Math, Grade 5Chapter 11: Mental Strategies for Multi-Digit Whole Number Division

Lesson 2: Use basic facts to approximate quotients with two-digit divisors.

In this Grade 5 Eureka Math lesson from Chapter 11, students learn how to approximate quotients with two-digit divisors by rounding the divisor to the nearest ten and adjusting the dividend to the nearest compatible multiple. Using mental math strategies, students break division problems like 402 ÷ 19 into simpler steps — for example, estimating as 400 ÷ 20 — to find reasonable estimated quotients. The lesson builds on prior fluency with dividing by multiples of 10 and rounding skills to support efficient mental computation.

Section 1

Finding Compatible Numbers

Property

To set up a division problem for estimation, change the original problem a÷ba \div b into an approximate problem a÷ba' \div b'.
First, round the divisor bb to the nearest ten to get bb'.
Then, find a compatible number aa' by choosing a multiple of bb' that is close to the original dividend aa.

Examples

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Finding Compatible Numbers

Property

To set up a division problem for estimation, change the original problem a÷ba \div b into an approximate problem a÷ba' \div b'.
First, round the divisor bb to the nearest ten to get bb'.
Then, find a compatible number aa' by choosing a multiple of bb' that is close to the original dividend aa.

Examples