Mathematics
Grade5
Easy

Question

69 x 58 = _______.

  1. 1, 000
  2. 4,002
  3. 1,179
  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 equals left parenthesis a cross times b right parenthesis plus 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: 4,002



    Step1: We have to use the standard algorithm to find the multiplication so we will first break the one number into small numbers that can be easily multiplied to get the result. So, we will divide 58 and 69 as follows:
    58 equals 50 plus 8
    69 equals 60 plus 9
    Step2: Now we will use the distributive property to multiply this:
    left parenthesis 50 plus 8 right parenthesis cross times left parenthesis 60 plus 9 right parenthesis equals left parenthesis 50 cross times 60 right parenthesis plus left parenthesis 50 cross times 9 right parenthesis plus left parenthesis 8 cross times 60 right parenthesis plus left parenthesis 8 cross times 9 right parenthesis space
    Step3: Now we will do simple multiplication of which are as follows:
    50 cross times 60 equals 3000
    50 cross times 9 equals 450
    8 cross times 60 equals 480
    8 cross times 9 equals 72 
    Step4: Now we have to add these numbers.
    left parenthesis 50 cross times 60 right parenthesis plus left parenthesis 50 cross times 9 right parenthesis plus left parenthesis 8 cross times 60 right parenthesis plus left parenthesis 8 cross times 9 right parenthesis space space equals space 3000 plus 450 plus 480 plus 72
    =>4002
    So, the answer of the multiplication of 58 cross times 69 is 4002.

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