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Mathematics

Grade5

Easy

Question

651 × 54= _______.

35,154
34,154
34,515
35,451

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: 35,154

651 × 54 = 35,154

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 $651$ and $54$ as follows:
$651 equals 600 plus 50 plus 1$
$54 equals 50 plus 4$
Step2: Now we will use the distributive property to multiply this:
$left parenthesis 50 plus 4 right parenthesis cross times left parenthesis 600 plus 50 plus 1 right parenthesis equals left parenthesis 50 cross times 600 right parenthesis plus left parenthesis 50 cross times 50 right parenthesis plus left parenthesis 50 cross times 1 right parenthesis plus left parenthesis 4 cross times 600 right parenthesis plus left parenthesis 4 cross times 50 right parenthesis plus left parenthesis 4 cross times 1 right parenthesis$
Step3: Now we will do simple multiplication of which are as follows:
$50 cross times 600 equals 30 comma 000 50 cross times 50 equals 2 comma 500 50 cross times 1 equals 50 4 cross times 600 equals 2 comma 400 4 cross times 50 equals 200 4 cross times 1 equals 4$
Step4: Now we have to add these numbers.
$left parenthesis 50 cross times 600 right parenthesis plus left parenthesis 50 cross times 50 right parenthesis plus left parenthesis 50 cross times 1 right parenthesis plus left parenthesis 4 cross times 600 right parenthesis plus left parenthesis 4 cross times 50 right parenthesis plus left parenthesis 4 cross times 1 right parenthesis equals 30 comma 000 plus 2 comma 500 plus 50 plus 2 comma 400 plus 200 plus 4$
=> $35 comma 154$
So, the answer of the multiplication of $54 cross times 651$ is $35 comma 154$ ..

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