In this Grade 5 enVision Mathematics lesson from Chapter 6, students use place-value block models to divide decimals by 1-digit whole numbers, practicing regrouping tenths and hundredths to find decimal quotients. Students work through problems such as 2.58 ÷ 3 and 5.72 ÷ 4, learning how to regroup ones into tenths and tenths into hundredths when there are not enough in a group to divide equally. The lesson connects decimal division to whole-number division strategies while emphasizing the use of visual models and estimation with compatible numbers.
Section 1
Model Decimal Division Using a Place Value Chart
When dividing on a place value chart, if a place value has a remainder after sharing, unbundle each remaining unit into 10 units of the next smaller place value. This is based on the principle that 1 larger unit is equivalent to 10 of the next smaller unit (e.g., , ).
Section 2
Dividing a Decimal by a Whole Number
To divide a decimal by a whole number, place the decimal point in the quotient directly above the decimal point in the dividend. Then, divide using the standard algorithm as you would with whole numbers.
Expand to review the lesson summary and core properties.
Section 1
Model Decimal Division Using a Place Value Chart
When dividing on a place value chart, if a place value has a remainder after sharing, unbundle each remaining unit into 10 units of the next smaller place value. This is based on the principle that 1 larger unit is equivalent to 10 of the next smaller unit (e.g., , ).
Section 2
Dividing a Decimal by a Whole Number
To divide a decimal by a whole number, place the decimal point in the quotient directly above the decimal point in the dividend. Then, divide using the standard algorithm as you would with whole numbers.