In this Grade 5 Eureka Math lesson from Chapter 6, students learn to divide decimals by single-digit whole numbers by applying place value understanding — expressing decimals in unit form (such as "9 tenths" or "105 hundredths") to connect division of decimals to familiar whole-number basic facts. Students work through problems like 0.9 ÷ 3, 1.05 ÷ 5, and 3.015 ÷ 5, using place value charts and decomposition strategies to find quotients involving tenths, hundredths, and thousandths. The lesson also connects this conceptual understanding to a written algorithm, building fluency with decimal division across multiple place value units.
Section 1
Dividing Decimals by Decomposing the Dividend
To divide a decimal, you can decompose it into place value units (like tenths and hundredths) that are easily divisible by the divisor. Divide each part separately, then add the partial quotients to find the total quotient.
Section 2
Relating Decimal Division to Whole-Number Facts
To solve a decimal division problem, you can use a related whole-number fact. The place value of the dividend determines the place value of the quotient. For example, if you know , you can reason that because tenths divided by a whole number results in tenths.
Expand to review the lesson summary and core properties.
Section 1
Dividing Decimals by Decomposing the Dividend
To divide a decimal, you can decompose it into place value units (like tenths and hundredths) that are easily divisible by the divisor. Divide each part separately, then add the partial quotients to find the total quotient.
Section 2
Relating Decimal Division to Whole-Number Facts
To solve a decimal division problem, you can use a related whole-number fact. The place value of the dividend determines the place value of the quotient. For example, if you know , you can reason that because tenths divided by a whole number results in tenths.