Mathematics
Grade5
Easy

Question

Ann bought 23 boxes of pencils. If there are 12 pencils in each box, the total pencils did she buy?

  1. 180
  2. 276
  3. 100
  4. 600

hintHint:

This can be found by multiplying the total number of boxes to the total number of pencil in each box. 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: 276



    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 23 and 12 as follows:
    23 equals 20 plus 3
    12 equals 10 plus 2
    Step2: Now we will use the distributive property to multiply this:
    left parenthesis 20 plus 3 right parenthesis cross times left parenthesis 10 plus 2 right parenthesis space equals left parenthesis 20 cross times 10 right parenthesis plus left parenthesis 20 cross times 2 right parenthesis plus left parenthesis 3 cross times 10 right parenthesis plus left parenthesis 3 cross times 2 right parenthesis
    Step3: Now we will do simple multiplication of which are as follows:
    20 cross times 10 equals 200
    20 cross times 2 equals 40
    3 cross times 10 equals 30
    3 cross times 2 equals 6
    Step4: Now we have to add these numbers.
    left parenthesis 20 cross times 10 right parenthesis plus left parenthesis 20 cross times 2 right parenthesis plus left parenthesis 3 cross times 10 right parenthesis plus left parenthesis 3 cross times 2 right parenthesis space equals space 200 plus 40 plus 30 plus 6
    =>276
    So, the answer of the multiplication of  23 cross times 12 equals 276.
    So, the  total number of pencils Ann bought is 276.

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