2-Digit Numbers

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

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.

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

**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 |

**II. Example to multiply 3-digit numbers by a 2-digit numbers: ****1. Multiply 456 x 43**

**Solution: **

(i) **First Method**

(ii) **Second Method**

*Hence, Product = 19608*

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

**Answer:** 7290

**3. Multiply 687 and 23.**

**Solution:**

687 × 3 = 2061
687 × 20 = 13740
2061 + 13740 = 15801 |
Hence, 687 × 23 = 15801 |

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

**1. Multiply 3157 x 56**

**Solution: **

(i) **First Method**

(ii) **Second Method**

Hence, Product = 176792

**2. Multiply: 1793 × 25**

**Answer:** 44825

Questions and Answers on Multiply a Number by a 2-Digit Number:

**1. Multiplication of 2-Digit Numbers by 2-Digit Numbers by column method.**

(i) 12 × 11 = __________

(ii) 24 × 35 = __________

(iii) 42 × 81 = __________

(iv) 17 × 46 = __________

(v) 44 × 59 = __________

(vi) 73 × 94 = __________

**Answers:**

(i) 132

(ii) 840

(iii) 3402

(iv) 782

(v) 2596

(vi) 6862

**2. Multiplication of 3-Digit Numbers by 2-Digit Numbers by column method.**

(i) 139 × 21 = __________

(ii) 256 × 33 = __________

(iii) 507 × 62 = __________

(iv) 780 × 53 = __________

(v) 864 × 74 = __________

(vi) 972 × 80 = __________

**Answers:**

(i) 2919

(ii) 8448

(iii) 31434

(iv) 41340

(v) 63936

(vi) 77760

**3. Multiplication of 4-Digit Numbers by 2-Digit Numbers by column method.**

(i) 1457 × 25 = __________

(ii) 1183 × 46 = __________

(iii) 3107 × 77 = __________

(iv) 4662 × 11 = __________

(v) 9381 × 36 = __________

(vi) 6500 × 25 = __________

**Answers:**

(i) 36425

(ii) 54418

(iii) 239239

(iv) 51282

(v) 337716

(vi) 162500

**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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