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Mathematics

Grade5

Easy

Question

Calculate 436 × 97______.

42,292
45,600
43,000
43,590

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: 42,292

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 $436$ and $97$ as follows:
$436 equals 400 plus 30 plus 6$
$97 equals 90 plus 7$
Step2: Now we will use the distributive property to multiply this:
$left parenthesis 90 plus 7 right parenthesis cross times left parenthesis 400 plus 30 plus 6 right parenthesis equals left parenthesis 90 cross times 400 right parenthesis plus left parenthesis 90 cross times 30 right parenthesis plus left parenthesis 90 cross times 6 right parenthesis plus left parenthesis 7 cross times 400 right parenthesis plus left parenthesis 7 cross times 30 right parenthesis plus left parenthesis 7 cross times 6 right parenthesis$
Step3: Now we will do simple multiplication of which are as follows:
$90 cross times 400 equals 36 comma 000 90 cross times 30 equals 2 comma 700 90 cross times 6 equals 540 7 cross times 400 equals 2 comma 800 7 cross times 30 equals 210 7 cross times 6 equals 42$
Step4: Now we have to add these numbers.
$left parenthesis 90 cross times 400 right parenthesis plus left parenthesis 90 cross times 30 right parenthesis plus left parenthesis 90 cross times 6 right parenthesis plus left parenthesis 7 cross times 400 right parenthesis plus left parenthesis 7 cross times 30 right parenthesis plus left parenthesis 7 cross times 6 right parenthesis equals 36 comma 000 plus 2 comma 700 plus 540 plus 2 comma 800 plus 210 plus 42$
=> $42 comma 292$
So, the answer of the multiplication of $436 cross times 97$ is $42 comma 292$ .

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