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Mathematics

Grade5

Easy

Question

A candy factory makes 501 pieces of candy each day. Calculate the total pieces of candy will the factory make in 36 days.

12,676
17,789
18,036
17,700

hint Hint:

The total number of pieces of candy factory creates will be equal to the product of the total number of days candies are produced and the total number candies produced in a single day. 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: 18,036

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 $501$ and $36$ as follows:
$501 equals 500 plus 1$
$36 equals 30 plus 6$
Step2: Now we will use the distributive property to multiply this:
$left parenthesis 30 plus 6 right parenthesis cross times left parenthesis 500 plus 1 right parenthesis equals left parenthesis 30 cross times 500 right parenthesis plus left parenthesis 30 cross times 1 right parenthesis plus left parenthesis 6 cross times 500 right parenthesis plus left parenthesis 6 cross times 1 right parenthesis$
Step3: Now we will do simple multiplication of which are as follows:
$30 cross times 500 equals 15 comma 000 30 cross times 1 equals 30 6 cross times 500 equals 3 comma 000 6 cross times 1 equals 6$
Step4: Now we have to add these numbers.
$left parenthesis 30 cross times 500 right parenthesis plus left parenthesis 30 cross times 1 right parenthesis plus left parenthesis 6 cross times 500 right parenthesis plus left parenthesis 6 cross times 1 right parenthesis equals 15 comma 000 plus 30 plus 3 comma 000 plus 6$
=> $18 comma 036$
So, the total number of candies produced are $18 comma 036$ .

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