Learn on PengienVision, Mathematics, Grade 4Chapter 5: Use Strategies and Properties to Divide by 1-Digit Numbers

Lesson 8: Continue Sharing to Divide

Property.

Section 1

Estimate Quotients Using Compatible Numbers

Property

To estimate a quotient, change the dividend to a nearby compatible number that is easy to divide by the divisor. Compatible numbers are numbers that are easy to compute mentally, often using basic multiplication facts.

Examples

Section 2

Regrouping in Place Value Division

Property

When dividing, any amount left over in a place value must be regrouped (or unbundled) into the next smaller place value before you can continue sharing.

1 hundred=10 tens1 \text{ hundred} = 10 \text{ tens}
1 ten=10 ones1 \text{ ten} = 10 \text{ ones}

Examples

Section 3

Using Partial Quotients to Record Sharing

Property

The partial quotients algorithm is a method for recording the steps of sharing division.
Each time you share a place value, you record the result as a partial quotient.
The amount shared is multiplied by the divisor and subtracted from the dividend to find what remains to be divided.

Examples

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Estimate Quotients Using Compatible Numbers

Property

To estimate a quotient, change the dividend to a nearby compatible number that is easy to divide by the divisor. Compatible numbers are numbers that are easy to compute mentally, often using basic multiplication facts.

Examples

Section 2

Regrouping in Place Value Division

Property

When dividing, any amount left over in a place value must be regrouped (or unbundled) into the next smaller place value before you can continue sharing.

1 hundred=10 tens1 \text{ hundred} = 10 \text{ tens}
1 ten=10 ones1 \text{ ten} = 10 \text{ ones}

Examples

Section 3

Using Partial Quotients to Record Sharing

Property

The partial quotients algorithm is a method for recording the steps of sharing division.
Each time you share a place value, you record the result as a partial quotient.
The amount shared is multiplied by the divisor and subtracted from the dividend to find what remains to be divided.

Examples