2-Digit Number

How to multiply a number by a 2-digit number?

We shall revise here to multiply 2-digit and 3-digit numbers by a
2-digit number (multiplier) as well as learn another procedure for the
multiplication of 3-digit, 4-digit, etc., numbers by a 2-digit
multiplier.

**1. Example to multiply 2-digit numbers by a 2-digit number:**

Multiply 63 by 14

**Solution:**

(i) **First Method**

63 x 14

= (60 + 3) × (10 + 4) 63 = 60 + 3

14 = 10 + 4

= (60 + 3) × 10 + (60 + 3) × 4

= (600 + 30) + (240 + 12)

= 630 + 252

= 882

or, 63 × 14 = (60 + 3) (10 + 4)

= (60 + 3) x 4 + (60 + 3) x l0

= (240 +12) + (600 + 30)

= 252 + 630

= 882

(ii) **Second Method**

(a) 4 × 3 ones = 12 ones |

(iii) **Third Method**

(iv) **Fourth Method**

(a) 14 = 4 ones + 1 ten |

**2. Example to multiply 3-digit numbers by a 2-digit number: **

Multiply 456 x 43

**Solution: **

(i) **First Method**

(ii) **Second Method**

*Hence, Product = 19608*

**Multiplication by 2 and 3 digit numbers**

**A.** Find the product of 165 and 45.

**Answer:** 7290

**B.** Multiply: 1793 × 25

**Answer:** 44825

**3. Example to multiply 4-digit numbers by a 2-digit number: **

Multiply 3157 x 56

**Solution: **

(i) **First Method**

(ii) **Second Method**

Hence, Product = 176792

**Related Concept**

● Addition

● Check for Subtraction and Addition

● Word Problems Involving Addition and Subtraction

● Estimating Sums and Differences

● Multiply a Number by a 2-Digit Number

● Multiplication of a Number by a 3-Digit Number

● Word Problems on Multiplication

● 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

● Division by Two-Digit Numbers

**4th Grade Math Activities**

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