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Mathematics

Grade5

Easy

Question

Multiply 741 × 45.

33,345
33,346
33,347
33,348

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: $a left parenthesis b plus c right parenthesis equals left parenthesis a cross times b right parenthesis plus left parenthesis a cross times c right parenthesis$ . 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: 33,345

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 $741$ and $45$ as follows:
$741 equals 700 plus 40 plus 1$
$45 equals 40 plus 5$
Step2: Now we will use the distributive property to multiply this:
$left parenthesis 700 plus 40 plus 1 right parenthesis cross times left parenthesis 40 plus 5 right parenthesis equals left parenthesis 700 cross times 40 right parenthesis plus left parenthesis 700 cross times 5 right parenthesis plus left parenthesis 40 cross times 40 right parenthesis plus left parenthesis 40 cross times 5 right parenthesis plus left parenthesis 1 cross times 40 right parenthesis plus left parenthesis 1 cross times 5 right parenthesis$
Step3: Now we will do simple multiplication of which are as follows:
$700 cross times 40 equals 28000$
$700 cross times 5 equals 3500$
$40 cross times 40 equals 1600$
$40 cross times 5 equals 200$
$1 cross times 40 equals 40$
$1 cross times 5 equals 5$
Step4: Now we have to add these numbers.
$left parenthesis 700 cross times 40 right parenthesis plus left parenthesis 700 cross times 5 right parenthesis plus left parenthesis 40 cross times 40 right parenthesis plus left parenthesis 40 cross times 5 right parenthesis plus left parenthesis 1 cross times 40 right parenthesis plus left parenthesis 1 cross times 5 right parenthesis equals 28000 plus 3500 plus 1600 plus 200 plus 40 plus 5 equals 33345$
So, the answer of the multiplication of $741 cross times 45$ is $33345$ .

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