How to multiply a number by a 2digit number?
We shall revise here to multiply 2digit and 3digit numbers by a
2digit number (multiplier) as well as learn another procedure for the
multiplication of 3digit, 4digit, etc., numbers by a 2digit
multiplier.
1. Example to multiply 2digit numbers by a 2digit 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 3digit numbers by a 2digit 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 4digit numbers by a 2digit 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 2Digit Number
● Multiplication of a Number by a 3Digit Number
● Word Problems on Multiplication
● Division of TwoDigit by a OneDigit Numbers
● Division of FourDigit by a OneDigit Numbers
● Division by 10 and 100 and 1000
● Division by TwoDigit Numbers
4th Grade Math Activities
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