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

Lesson 3: Mental Math: Estimate Quotients for Greater Dividends

In this Grade 4 enVision Mathematics lesson, students learn how to estimate quotients for 3- and 4-digit dividends using mental math strategies, including compatible numbers, multiplication patterns, place-value patterns, and rounding. Part of Chapter 5 on division by 1-digit numbers, the lesson builds on basic division facts to help students apply mental math reasoning to larger numbers like 1,320 ÷ 6 or 5,582 ÷ 7. Students practice choosing the most appropriate estimation strategy depending on the dividend and divisor.

Section 1

Multiplying by Multiples of 10, 100, and 1,000

Property

To multiply a whole number by a multiple of 10, 100, or 1,000, you can multiply the basic fact (the non-zero digits) and then append the total number of zeros from the factors to the product.

Examples

Section 2

Place Value Patterns in Division

Property

To divide multiples of 10, 100, or 1,000, you can use a basic division fact and place value. If you know a basic fact like $a \div b = c$ , you can extend it:

\begin{array}{c} a \div b = c \\ (a \times 10) \div b = c \times 10 \\ (a \times 100) \div b = c \times 100 \end{array}

Examples

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Multiplying by Multiples of 10, 100, and 1,000

Property

To multiply a whole number by a multiple of 10, 100, or 1,000, you can multiply the basic fact (the non-zero digits) and then append the total number of zeros from the factors to the product.

Examples

Section 2

Place Value Patterns in Division

Property

To divide multiples of 10, 100, or 1,000, you can use a basic division fact and place value. If you know a basic fact like $a \div b = c$ , you can extend it:

\begin{array}{c} a \div b = c \\ (a \times 10) \div b = c \times 10 \\ (a \times 100) \div b = c \times 100 \end{array}

Examples

Overview

Lesson overview

Review the lesson summary and core properties without leaving the current page.

Overview

Section 1

Multiplying by Multiples of 10, 100, and 1,000

Property

To multiply a whole number by a multiple of 10, 100, or 1,000, you can multiply the basic fact (the non-zero digits) and then append the total number of zeros from the factors to the product.

Examples

Section 2

Place Value Patterns in Division

Property

To divide multiples of 10, 100, or 1,000, you can use a basic division fact and place value. If you know a basic fact like $a \div b = c$ , you can extend it:

\begin{array}{c} a \div b = c \\ (a \times 10) \div b = c \times 10 \\ (a \times 100) \div b = c \times 100 \end{array}