Mathematics
Grade5
Easy

Question

Use standard algorithm to find the product of 45 x 79.

  1. 1,805
  2. 2,765
  3. 3,555
  4. 6,005

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 left parenthesis a cross times b right parenthesis space plus space left parenthesis b cross times c right parenthesis
. 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: 3,555



    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 79 as follows :
    45 space cross times space left parenthesis 70 plus 9 right parenthesis
    Step2 :
    Now we will use the distributive property to multiply this
    45 space cross times space left parenthesis 70 plus 9 right parenthesis space equals space left parenthesis 45 cross times 70 right parenthesis space plus space left parenthesis 45 cross times 9 right parenthesis :

    Step3: Now we will do simple multiplication of left parenthesis 45 cross times 70 right parenthesis space and left parenthesis 45 cross times 9 right parenthesis which are as follows :
    left parenthesis 45 cross times 70 right parenthesis space equals space 3150 and left parenthesis 45 cross times 9 right parenthesis space equals space 405


    Step4: Now we have to add these numbers.
    left parenthesis 45 cross times 70 right parenthesis space plus space left parenthesis 45 cross times 9 right parenthesis space equals space 3150 space plus space 405
    3150 plus 405 space equals space 3555

    So, the answer of the multiplication of to 45 cross times 79 space equals space 3555

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