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Mathematics

Grade5

Easy

Question

There are 54 students in the poetry club. Last year, each student wrote 640 poems. Find the total poems did the students in the club write in all.

32,676
37,789
34,560
37,700

hint Hint:

The total number of poems written will be equal to the product of the total number of students and the total number of poems written by each student. 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: 34,560

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 $640$ and $54$ as follows:
$640 equals 600 plus 40$
$54 equals 50 plus 4$
Step2: Now we will use the distributive property to multiply this:
$left parenthesis 50 plus 4 right parenthesis cross times left parenthesis 600 plus 40 right parenthesis equals left parenthesis 50 cross times 600 right parenthesis plus left parenthesis 50 cross times 40 right parenthesis plus left parenthesis 4 cross times 600 right parenthesis plus left parenthesis 4 cross times 40 right parenthesis$
Step3: Now we will do simple multiplication of which are as follows:
$50 cross times 600 equals 30 comma 000 50 cross times 40 equals 2 comma 000 4 cross times 600 equals 2 comma 400 4 cross times 40 equals 160$
Step4: Now we have to add these numbers.
$left parenthesis 50 cross times 600 right parenthesis plus left parenthesis 50 cross times 40 right parenthesis plus left parenthesis 4 cross times 600 right parenthesis plus left parenthesis 4 cross times 40 right parenthesis equals 30 comma 000 plus 2 comma 000 plus 2 comma 400 plus 160$
=> $34 comma 560$
So, the total number of poems written are $34 comma 560$ .

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