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Mathematics

Grade5

Easy

Question

435 × 72=______.

26,388
23,688
31,320
23,868

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: $a left parenthesis b plus c plus d right parenthesis equals left parenthesis a cross times b right parenthesis plus left parenthesis a cross times c right parenthesis plus left parenthesis a cross times space d right parenthesis$ 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: 31,320

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 $435$ and $72$ as follows:
$435 equals 400 plus 30 plus 5$
$72 equals 70 plus 2$
Step2: Now we will use the distributive property to multiply this:
$left parenthesis 70 plus 2 right parenthesis cross times left parenthesis 400 plus 30 plus 5 right parenthesis equals left parenthesis 70 cross times 400 right parenthesis plus left parenthesis 70 cross times 30 right parenthesis plus left parenthesis 70 cross times 5 right parenthesis plus left parenthesis 2 cross times 400 right parenthesis plus left parenthesis 2 cross times 30 right parenthesis plus left parenthesis 2 cross times 5 right parenthesis$
Step3: Now we will do simple multiplication of which are as follows:
$70 cross times 400 equals 28 comma 000$
$70 cross times 30 equals 2100$
$70 cross times 5 equals 350$
$2 cross times 400 equals 800$
$2 cross times 30 equals 60$
$2 cross times 5 equals 10$
Step4: Now we have to add these numbers.
$left parenthesis 70 cross times 400 right parenthesis plus left parenthesis 70 cross times 30 right parenthesis plus left parenthesis 70 cross times 5 right parenthesis plus left parenthesis 2 cross times 400 right parenthesis plus left parenthesis 2 cross times 30 right parenthesis plus left parenthesis 2 cross times 5 right parenthesis equals 28 comma 000 plus 2100 plus 350 plus 800 plus 60 plus 10$
=> $31 comma 320$
So, the answer of the multiplication of $435 cross times 72$ is $31 comma 320$ .

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