Question
Use standard algorithm to find the product of 14 x 83.
- 1100
- 1,162
- 1156
- 1123
Hint:
Here we have to use standard algorithm to find product 14 x 83 . The standard algorithm is a way of doing multiplication by using partial products or multiplying in parts. Now we have to find the partial product of 14 x 83. So here we are using the concept of partial product. We will multiply it parts and add them the all the parts.
The correct answer is: 1,162
Here we have to find the product of 14 x 83.
First, we write the first number 14 which written as 10 and 4, [ 10 because 1 it is at tens place , 4 is at ones place]
And so , the other number 83 which written down as 80 and 3 . [ 80 because 8 it at tens place , 3 at ones place]
So there are two term each having two number tens and ones.
Firstly multiply first number tens digit with second number both tens digit and one digit.
And , multiply second number of tens digit and ones digit with first number ‘s one digit partially.
Now , we multiply first ,
10 x 80 = 800 [multiply tens digit of multiplier with tens digit of multiplicand]
10 x 3 = 30 [multiply tens digit of multiplier with ones digit of multiplicand]
80 x 4 = 320 [multiply tens digit of multiplier with ones digit of multiplicand]
3 x 4 = 12 [ multiply ones digit of multiplier with one digit of multiplicand]
Now add all the partial product of find the solution.
14 x 83 = 800 + 30 + 320 + 12
14 x 83 = 1162
The correct answer is 1,162 (option (b)) .
Or,
The standard algorithm is a way of doing multiplication by using partial products or multiplying in parts. The partial product method involves multiplying each digit of a number in turn with each digit of another where each digit maintains its place. We break the number into parts to multiply. We then multiply the parts separately and then add them together. Apply the same concept in similar questions.
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