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Mathematics

Grade5

Easy

Question

A law firm ordered 15 boxes of paper clips. There were 205 paper clips in each box. The total paper clips did the law firm order in all is?

3075
4789
3300
4700

hint Hint:

The total number of clips ordered will be equal to the product of the total number of boxes ordered and the total number of clips in each box. 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: 3075

Law firm ordered 3075 paper clips.

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 $205$ as follows:
$205 equals 200 plus 5$
Step2: Now we will use the distributive property to multiply this:
$15 cross times left parenthesis 200 plus 5 right parenthesis equals left parenthesis 15 cross times 200 right parenthesis plus left parenthesis 15 cross times 5 right parenthesis$
Step3: Now we will do simple multiplication of which are as follows:
$15 cross times 200 equals 3 comma 000 15 cross times 5 equals 75$
Step4: Now we have to add these numbers.
$left parenthesis 15 cross times 200 right parenthesis plus left parenthesis 15 cross times 5 right parenthesis equals 3 comma 000 plus 75$
=> $3075$
So, the total number of clips ordered are $3075$ .

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