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Mathematics

Grade5

Easy

Question

A school club has 525 members. If each member pays $11 as the membership fee, Find the total money is collected

5,775
5,334
5,334
5,334

hint Hint:

The total Money collected can be found the product of total gym members and the price charged per gym member. 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: 5,775

525 × 11 = 5,775.
$5,775 money is collected.

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 $575$ and $11$ as follows:
$575 equals 500 plus 70 plus 5$
$11 equals 10 plus 1$
Step2: Now we will use the distributive property to multiply this:
$left parenthesis 10 plus 1 right parenthesis cross times left parenthesis 500 plus 70 plus 5 right parenthesis equals space left parenthesis 10 cross times 500 right parenthesis plus left parenthesis 10 cross times 70 right parenthesis plus left parenthesis 10 cross times 5 right parenthesis plus left parenthesis 1 cross times 500 right parenthesis plus left parenthesis 1 cross times 70 right parenthesis plus left parenthesis 1 cross times 5 right parenthesis$
Step3: Now we will do simple multiplication of which are as follows:
$10 cross times 500 equals 5000$
$10 cross times 70 equals 700$
$10 cross times 5 equals 50$
$1 cross times 500 equals 500$
$1 cross times 70 equals 70$
$1 cross times 5 equals 5$
Step4: Now we have to add these numbers.
$left parenthesis 10 cross times 500 right parenthesis plus left parenthesis 10 cross times 70 right parenthesis plus left parenthesis 10 cross times 5 right parenthesis plus left parenthesis 1 cross times 500 right parenthesis plus left parenthesis 1 cross times 70 right parenthesis plus left parenthesis 1 cross times 5 right parenthesis equals 5000 plus 700 plus 50 plus 500 plus 70 plus 5$
=> $5775$
So, the total amount of money collected is $5775$ .

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