In this Grade 5 Eureka Math lesson, students learn to approximate decimal quotients with two-digit divisors by rounding both the dividend and divisor to compatible numbers and applying basic facts to reason about decimal point placement. The lesson builds on prior work dividing decimals by multiples of 10, using strategies like renaming tenths and hundredths to simplify estimation. Students practice with real-world problems such as estimating the cost per item or daily water consumption to reinforce the skill.
Section 1
Estimate Decimal Quotients Using Compatible Numbers
To estimate a decimal quotient, round the dividend and divisor to compatible numbers. Compatible numbers are numbers that are close to the original numbers and are easy to compute with mentally, often using basic facts.
Section 2
Compare Estimates by Shifting the Decimal Point
If , then shifting the decimal point in the dividend by a power of 10 results in a corresponding shift in the quotient.
For example, dividing the dividend by 10 also divides the quotient by 10:
Expand to review the lesson summary and core properties.
Section 1
Estimate Decimal Quotients Using Compatible Numbers
To estimate a decimal quotient, round the dividend and divisor to compatible numbers. Compatible numbers are numbers that are close to the original numbers and are easy to compute with mentally, often using basic facts.
Section 2
Compare Estimates by Shifting the Decimal Point
If , then shifting the decimal point in the dividend by a power of 10 results in a corresponding shift in the quotient.
For example, dividing the dividend by 10 also divides the quotient by 10: