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Mathematics

Grade5

Easy

Question

A school ordered 66 boxes of paper. There were 249 sheets of paper in each box. The total sheets of paper did the school order in all is?

16,676
17,789
16,434
17,700

hint Hint:

The total number of sheets will be equal to the product of the total number of bags and the number of sheet in each bag. In this question we have to multiply as three-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: $a left parenthesis b plus c plus d right parenthesis equals left parenthesis a cross times b right parenthesis plus left parenthesis a cross times c right parenthesis plus left parenthesis a cross times space d right parenthesis$ . 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: 16,434

Total boxes = 66
Each box = 249 sheets
Total sheets = 249 × 66 =16,434
School ordered 16,434 sheets.
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 $66$ and $249$ as follows:
$66 equals 60 plus 6$
$249 equals 200 plus 40 plus 9$
Step2: Now we will use the distributive property to multiply this:
$left parenthesis 60 plus 6 right parenthesis cross times left parenthesis 200 plus 40 plus 9 right parenthesis equals left parenthesis 60 cross times 200 right parenthesis plus left parenthesis 60 cross times 40 right parenthesis plus left parenthesis 60 cross times 9 right parenthesis plus left parenthesis 6 cross times 200 right parenthesis plus left parenthesis 6 cross times 40 right parenthesis plus left parenthesis 6 cross times 9 right parenthesis$
Step3: Now we will do simple multiplication of which are as follows:
$60 cross times 200 equals 12 comma 000 60 cross times 40 equals 2 comma 400 60 cross times 9 equals 540 6 cross times 200 equals 1 comma 200 6 cross times 40 equals 240 6 cross times 9 equals 54$
Step4: Now we have to add these numbers.
$left parenthesis 60 cross times 200 right parenthesis plus left parenthesis 60 cross times 40 right parenthesis plus left parenthesis 60 cross times 9 right parenthesis plus left parenthesis 6 cross times 200 right parenthesis plus left parenthesis 6 cross times 40 right parenthesis plus left parenthesis 6 cross times 9 right parenthesis equals 12 comma 000 plus 2 comma 400 plus 540 plus 1 comma 200 plus 240 plus 54$
=> $16 comma 434$
So, the total number of sheets will be equal to $16 comma 434$ .

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