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:
Step I: Arrange the numbers vertically. Step II: Multiply 687 by 3 ones 687 × 3 = 2061 Step III: Multiply 687 by 2 tens 687 × 20 = 13740 Step IV: Add 2061 and 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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