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Mathematics

Grade5

Easy

Question

Multiply 110 × 54

5,940
5,789
5,900
5,700

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: 5,940

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 110 and 54 as follows:
$110 equals 100 plus 10$
$54 equals 50 plus 4$
Step2: Now we will use the distributive property to multiply this:
$left parenthesis 50 plus 4 right parenthesis cross times left parenthesis 100 plus 10 right parenthesis equals left parenthesis 50 cross times 100 right parenthesis plus left parenthesis 50 cross times 10 right parenthesis plus left parenthesis 4 cross times 100 right parenthesis plus left parenthesis 4 cross times 10 right parenthesis$
Step3: Now we will do simple multiplication of which are as follows:
$50 cross times 100 equals 5 comma 000 50 cross times 10 equals 500 4 cross times 100 equals 400 4 cross times 10 equals 40$
Step4: Now we have to add these numbers.
$left parenthesis 50 cross times 100 right parenthesis plus left parenthesis 50 cross times 10 right parenthesis plus left parenthesis 4 cross times 100 right parenthesis plus left parenthesis 4 cross times 10 right parenthesis equals 5 comma 000 plus 500 plus 400 plus 40$
=> $5 comma 940$
So, the answer of the multiplication of $110 space cross times space 54$ is $5 comma 940$ .

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