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Mathematics

Grade5

Easy

Question

494 × 57=________.

28,159
28,258
29,158
28,158

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: 28,158

494 × 57 = 28,158

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 $494$ and $57$ as follows:
$494 equals 400 plus 90 plus 4$
$57 equals 50 plus 7$
Step2: Now we will use the distributive property to multiply this:
$left parenthesis 50 plus 7 right parenthesis cross times left parenthesis 400 plus 90 plus 4 right parenthesis equals left parenthesis 50 cross times 400 right parenthesis plus left parenthesis 50 cross times 90 right parenthesis plus left parenthesis 50 cross times 4 right parenthesis plus left parenthesis 7 cross times 400 right parenthesis plus left parenthesis 7 cross times 90 right parenthesis plus left parenthesis 7 cross times 4 right parenthesis$
Step3: Now we will do simple multiplication of which are as follows:
$50 cross times 400 equals 20 comma 000$
$50 cross times 90 equals 450$
$50 cross times 4 equals 200$
$7 cross times 400 equals 2800$
$7 cross times 90 equals 630$
$7 cross times 4 equals 28$
Step4: Now we have to add these numbers.
$left parenthesis 50 cross times 400 right parenthesis plus left parenthesis 50 cross times 90 right parenthesis plus left parenthesis 50 cross times 4 right parenthesis plus left parenthesis 7 cross times 400 right parenthesis plus left parenthesis 7 cross times 90 right parenthesis plus left parenthesis 7 cross times 4 right parenthesis equals 20 comma 000 plus 450 plus 200 plus 200 plus 2 comma 800 plus 630 plus 28$
=> $28 comma 158$
So, the answer of the multiplication of $495 cross times 12$ is $28 comma 158$ .

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