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Mathematics

Grade5

Easy

Question

There are 468 dots on each ceiling tile. Find the total dots are there on 5 ceiling tiles.

2,676
7,789
2,340
7,700

hint Hint:

The total number of dots will be equal to the product of the total number of ceiling tiles and the total number of dots in each tile. 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: 2,340

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 $468$ as follows:
$468 equals 400 plus 60 plus 8$
Step2: Now we will use the distributive property to multiply this:
$5 cross times left parenthesis 400 plus 60 plus 8 right parenthesis equals left parenthesis 5 cross times 400 right parenthesis plus left parenthesis 5 cross times 60 right parenthesis plus left parenthesis 5 cross times 8 right parenthesis$
Step3: Now we will do simple multiplication of which are as follows:
$5 cross times 400 equals 2 comma 000 5 cross times 60 equals 300 5 cross times 8 equals 40$
Step4: Now we have to add these numbers.
$left parenthesis 5 cross times 400 right parenthesis plus left parenthesis 5 cross times 60 right parenthesis plus left parenthesis 5 cross times 8 right parenthesis space equals 2 comma 000 plus 300 plus 40$
=> $2340$
So, the total number of dots are $2340$ .

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