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Mathematics

Grade5

Easy

Question

There are 806 flowers on each quilt. Calculate the total flowers are there on 58 quilts.

42,675
47,789
46,748
47,700

hint Hint:

The total number of flowers will be equal to the product of the total number of quilt and the number of flowers in each quilt. 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: 46,748

There are 806 flowers on each of 58 quilts. Multiply:

There are 46748 flowers in all on 58 quilts.

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 $806$ and $58$ as follows:
$806 equals 800 plus 6$
$58 equals 50 plus 8$
Step2: Now we will use the distributive property to multiply this:
$left parenthesis 50 plus 6 right parenthesis cross times left parenthesis 800 plus 6 right parenthesis equals left parenthesis 50 cross times 800 right parenthesis plus left parenthesis 50 cross times 6 right parenthesis plus left parenthesis 6 cross times 800 right parenthesis plus left parenthesis 6 cross times 6 right parenthesis$
Step3: Now we will do simple multiplication of which are as follows:
$50 cross times 800 equals 40 comma 000 50 cross times 6 equals 300 6 cross times 800 equals 4 comma 800 6 cross times 6 equals 36$
Step4: Now we have to add these numbers.
$left parenthesis 50 cross times 800 right parenthesis plus left parenthesis 50 cross times 6 right parenthesis plus left parenthesis 6 cross times 800 right parenthesis plus left parenthesis 6 cross times 6 right parenthesis equals 40 comma 000 plus 300 plus 4 comma 800 plus 36$
=> $46 comma 748$
So, the total numbers of flowers are $46 comma 748$ .

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