Mathematics
Grade5
Easy

Question

96 x 32 = ______.

  1. 1,200
  2. 3,072
  3. 1,000
  4. 6,000

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 left parenthesis a cross times b right parenthesis plus space left parenthesis a 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: 3,072



    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 96 as follows :
    32 cross times 96 space equals space 32 cross times left parenthesis 90 space plus space 6 right parenthesis
    Step2 :
    Now we will use the distributive property to multiply this :
    32 cross times left parenthesis 90 plus 6 right parenthesis space equals space left parenthesis 32 cross times 90 right parenthesis space plus space left parenthesis 32 cross times 6 right parenthesis
    Step3: Now we will do simple multiplication of left parenthesis 32 cross times 90 right parenthesis space space a n d space left parenthesis 32 cross times 6 right parenthesis
    32 cross times 90 space equals space 2880 space
32 cross times 6 space equals space 192
    Step4: Now we have to add these numbers.
    left parenthesis 32 cross times 90 right parenthesis space plus space left parenthesis 32 cross times 6 cross times right parenthesis space equals 2880 plus 192
equals greater than space 3072
    So the desired answer is 3072

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