Section 1
Regrouping Decimal Factors
Property
After decomposing decimals, you can use the Commutative and Associative Properties to regroup the factors. This allows you to group the whole numbers together and the decimal units together.
In this Grade 5 lesson from enVision Mathematics Chapter 4, students learn how to multiply decimals using the Associative and Commutative Properties by decomposing factors into whole numbers and powers of 0.1. They practice applying the rule that a tenth times a tenth equals a hundredth to find products like 0.6 × 0.9 and 1.25 × 1.5. The lesson builds understanding of decimal place value relationships through real-world problems involving measurement and multi-step calculations.
Section 1
Regrouping Decimal Factors
After decomposing decimals, you can use the Commutative and Associative Properties to regroup the factors. This allows you to group the whole numbers together and the decimal units together.
Section 2
Multiplying Decimal Units
Multiplying tenths by tenths results in hundredths, and multiplying tenths by hundredths results in thousandths.
Expand to review the lesson summary and core properties.
Section 1
Regrouping Decimal Factors
After decomposing decimals, you can use the Commutative and Associative Properties to regroup the factors. This allows you to group the whole numbers together and the decimal units together.
Section 2
Multiplying Decimal Units
Multiplying tenths by tenths results in hundredths, and multiplying tenths by hundredths results in thousandths.