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Mathematics

Grade5

Easy

Question

37 x 23 = ______.

850
851
100
500

hint Hint:

In this question we have to multiply as two-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: $a left parenthesis b plus c right parenthesis equals left parenthesis a cross times b right parenthesis plus left parenthesis a cross times c right parenthesis$ 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: 851

Step by Step Solution:
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 23 as follows:
$37 cross times 23 space equals space 37 space cross times left parenthesis 20 plus 3 right parenthesis$
Step2:
Now we will use the distributive property to multiply this:
$37 cross times left parenthesis 20 plus 3 right parenthesis equals left parenthesis 37 cross times 20 right parenthesis plus left parenthesis 37 cross times 3 right parenthesis$
Step3:
Now we will do simple multiplication of $left parenthesis 37 cross times 20 right parenthesis space space space a n d space space left parenthesis 37 cross times 3 right parenthesis$ which are as follows:
$37 cross times 20 space equals space 740 space 37 cross times 3 equals space 111$
Step4:
Now we have to add these numbers.
$left parenthesis 37 cross times 20 right parenthesis space space plus space left parenthesis 37 cross times 3 right parenthesis equals 740 plus space 111 equals greater than space 851$
So, the desired product is 851.

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