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Mathematics

Grade5

Easy

Question

Find the value of 169 × 48______.

2,390
8,280
8,112
2,370

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: 8,112

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 $169$ and $48$ as follows:
$169 equals 100 plus 60 plus 9$
$48 equals 40 plus 8$
Step2: Now we will use the distributive property to multiply this:
$left parenthesis 40 plus 8 right parenthesis cross times left parenthesis 100 plus 60 plus 9 right parenthesis equals left parenthesis 40 cross times 100 right parenthesis plus left parenthesis 40 cross times 60 right parenthesis plus left parenthesis 40 cross times 9 right parenthesis plus left parenthesis 8 cross times 100 right parenthesis plus left parenthesis 8 cross times 60 right parenthesis plus left parenthesis 8 cross times 9 right parenthesis$
Step3: Now we will do simple multiplication of which are as follows:
$40 cross times 100 equals 4 comma 000 40 cross times 60 equals 2 comma 400 40 cross times 9 equals 540 8 cross times 100 equals 800 8 cross times 60 equals 480 8 cross times 9 equals 72$
Step4: Now we have to add these numbers.
$left parenthesis 40 cross times 100 right parenthesis plus left parenthesis 40 cross times 60 right parenthesis plus left parenthesis 40 cross times 9 right parenthesis plus left parenthesis 8 cross times 100 right parenthesis plus left parenthesis 8 cross times 60 right parenthesis plus left parenthesis 8 cross times 9 right parenthesis equals 4 comma 000 plus 2 comma 400 plus 540 plus 800 plus 480 plus 72$
=> $8 comma 112$
So, the answer of the multiplication of $48 cross times 169$ is $8 comma 112$ .

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