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Mathematics

Grade5

Easy

Question

Mrs. Wood travels 788 miles’ roundtrip to work each day. Calculate the total miles does she travel in 49 days.

38,612
51,600
30,000
34,590

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: 38,612

She travels 38,612 miles.

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 $788$ and $49$ as follows:
$788 equals 700 plus 80 plus 8$
$49 equals 40 plus 9$
Step2: Now we will use the distributive property to multiply this:
$left parenthesis 40 plus 9 right parenthesis cross times left parenthesis 700 plus 80 plus 8 right parenthesis equals left parenthesis 40 cross times 700 right parenthesis plus left parenthesis 40 cross times 80 right parenthesis plus left parenthesis 40 cross times 8 right parenthesis plus left parenthesis 9 cross times 700 right parenthesis plus left parenthesis 9 cross times 80 right parenthesis plus left parenthesis 9 cross times 8 right parenthesis$
Step3: Now we will do simple multiplication of which are as follows:
$40 cross times 700 equals 28 comma 000 40 cross times 80 equals 3 comma 200 40 cross times 8 equals 320 9 cross times 700 equals 6 comma 300 9 cross times 80 equals 720 9 cross times 8 equals 72$
Step4: Now we have to add these numbers.
$left parenthesis 40 cross times 700 right parenthesis plus left parenthesis 40 cross times 80 right parenthesis plus left parenthesis 40 cross times 8 right parenthesis plus left parenthesis 9 cross times 700 right parenthesis plus left parenthesis 9 cross times 80 right parenthesis plus left parenthesis 9 cross times 8 right parenthesis equals 28 comma 000 plus 3 comma 200 plus 320 plus 6 comma 300 plus 720 plus 72$
=> $38 comma 612$
So, the total miles she travel is $38 comma 612$ .

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