Multiplication of a Number
by a 3-Digit Number

In multiplication of a number by a 3-digit number are explained here step by step.

Consider the following examples on multiplication of a number by a 3-digit number:

1. Find the product of 36 × 137

Solution:

(i)

multiplication by a 3-digit numbers

(a) 137 = 7 + 30 + 100

(b) 36 × 7 = 252

(c) 36 × 30= 1080

(d) 36 × 100 = 3600


(ii)

multiplication by a 3-digit numbers

(a) 137 = 7 ones + 3 tens + 1 hundred

(b) 36 × 7 ones = 252 ones

(c) 36 × 8 tens = 108 tens

(d) 36 × 1 hundred = 36 hundreds

Multiply 543 by 278

Solution:

(i)

multiplication by a 3-digit numbers

(a) 278 = 8 + 70 + 200

(b) 543 × 8 = 4344

(c) 543 × 70 = 38010

(d) 543 × 200 = 108600

Product = 150954


(ii)

multiplication by a 3-digit numbers

(a) 278 = 8 ones + 7 T + 2 H

(b) 543 × 8 ones = 4344 ones

(c) 543 × 7 T = 3801 tens

(d) 543 × 2 H = 1086 hundreds

Product = 150954


(B) Multiply 827 × 107

Solution:

(i)

multiplication by a 3-digit number


→ 100 + 7
Multiply by 7
Multiply by 100


Answer:88489


(ii) 474 × 240

multiplication by a 3-digit numbers


→ 200 + 40
Multiply by 40
Multiply by 200


Answer: 113760


3. Multiply 2437 by 324

Solution:

(i) First Method

multiplication by a 3-digit numbers

(a) 324 = 4 + 20 + 300

(b) 2437 × 4 = 9748

(c) 2437 × 20 = 48740

(d) 2437 × 300 = 731100

The product = 789588


(ii) Second Method

multiplication by a 3-digit numbers

(a) 324 = 4 ones + 2 tens + 3 hundreds

(b) 2437 × 4 ones = 9748 ones

(c) 2437 × 2 T = 4874 tens

(d) 2437 × 3 H = 7311 hundreds

The product = 789588

These are the examples discussed on multiplication of a 2-digit, 3-digit and 4-digit number by a 3-digit number.

Related Concept

Addition

Word Problems on Addition

Subtraction

Check for Subtraction and Addition

Word Problems Involving Addition and Subtraction

Estimating Sums and Differences

Find the Missing Digits

Multiplication

Multiply a Number by a 2-Digit Number

Multiplication of a Number by a 3-Digit Number

Multiply a Number

Estimating Products

Word Problems on Multiplication

Multiplication and Division

Terms Used in Division

Division of Two-Digit by a One-Digit Numbers

Division of Four-Digit by a One-Digit Numbers

Division by 10 and 100 and 1000

Dividing Numbers

Estimating the Quotient

Division by Two-Digit Numbers

Word Problems on Division



4th Grade Math Activities

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