Mathematics
Grade5
Easy

Question

Use standard algorithm to find the product of 63 x 47.

  1. 1,500
  2. 2,961
  3. 1,000
  4. 6,001

hintHint:

In this question we have to multiply as two digit number with a two digit number . We can use the distributive law to do this question. Distributive law relates multiplication and addition as follows:a left parenthesis b plus c right parenthesis space equals space a cross times b space plus space a cross times c. This law shows that first adding some numbers and the multiplying the sum by some numbers gives same result as first multiplying each number by separately with the number and then adding them

The correct answer is: 2,961



    Step by Step Solution:
    Step1:
    we have to use the standard algorithm to find the multiplication so we will first break the bigger number into small numbers that can be easily multiplied to get the result . So we will divide 63 as follows :
    47 cross times 63 space equals space 47 cross times left parenthesis 60 plus 3 right parenthesis
    Step2 :
    Now we will use the distributive property to multiply this :
    47 cross times left parenthesis 60 plus 3 right parenthesis space equals space left parenthesis 47 cross times 60 right parenthesis space plus space left parenthesis 47 cross times 33 right parenthesis
    Step3:
    Now we will do simple multiplication

    47 cross times 60 space equals space 2820 space space a n d
47 cross times 3 equals space 141
    Step4:
    Now we have to add these numbers.
    left parenthesis 47 cross times 60 right parenthesis space plus space left parenthesis 47 cross times 3 right parenthesis space equals space 2820 space plus space 141
equals greater than 2961 space
    So  the desired multiplication is 2961

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