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Mathematics

Grade5

Easy

Question

Calculate 296 × 36______.

11656
10656
10556
9656

hint Hint:

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: 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: 10656

296 ×36 = 10,656

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 $294$ and $36$ as follows:
$294 equals 200 plus 90 plus 4$
$36 equals 30 plus 6$
Step2: Now we will use the distributive property to multiply this:
$left parenthesis 30 plus 6 right parenthesis cross times left parenthesis 200 plus 90 plus 4 right parenthesis equals left parenthesis 30 cross times 200 right parenthesis plus left parenthesis 30 cross times 90 right parenthesis plus left parenthesis 30 cross times 4 right parenthesis plus left parenthesis 6 cross times 200 right parenthesis plus left parenthesis 6 cross times 90 right parenthesis plus left parenthesis 6 cross times 4 right parenthesis$
Step3: Now we will do simple multiplication of which are as follows:
$30 cross times 200 equals 6 comma 000 30 cross times 90 equals 2 comma 700 30 cross times 4 equals 120 6 cross times 200 equals 1 comma 200 6 cross times 90 equals 540 6 cross times 4 equals 24$
Step4: Now we have to add these numbers.
$left parenthesis 30 cross times 200 right parenthesis plus left parenthesis 30 cross times 90 right parenthesis plus left parenthesis 30 cross times 4 right parenthesis plus left parenthesis 6 cross times 200 right parenthesis plus left parenthesis 6 cross times 90 right parenthesis plus left parenthesis 6 cross times 4 right parenthesis equals 6 comma 000 plus 2 comma 700 plus 120 plus 1 comma 200 plus 540 plus 24$
=> $10 comma 656$
So, the answer of the multiplication of $36 cross times 294$ is $10 comma 656$ .

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