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.

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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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