Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Grade5

Easy

Question

Charlie is training to run a marathon. Every day he puts on his sneakers and runs 43 miles. Charlie never misses a day. Find the total miles does Charlie run in 374 days.

16,082
16, 334
15, 334
15, 334

hint Hint:

The total miles that Charlie will be equal to the product to total number of days she run to the total number of miles she run in one day. 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: 16,082

The total miles that Charlie will be equal to the product to total number of days she run to the total number of miles she run in one day.
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 $374$ and $43$ as follows:
$374 equals 300 plus 70 plus 4$
43=40+3

Step2: Now we will use the distributive property to multiply this:
$left parenthesis 40 plus 3 right parenthesis cross times left parenthesis 300 plus 70 plus 4 right parenthesis equals left parenthesis 40 cross times 300 right parenthesis plus left parenthesis 40 cross times 70 right parenthesis plus left parenthesis 40 cross times 4 right parenthesis plus left parenthesis 3 cross times 300 right parenthesis plus left parenthesis 3 cross times 70 right parenthesis plus left parenthesis 3 cross times 4 right parenthesis$
Step3: Now we will do simple multiplication of which are as follows:
$40 cross times 300 equals 12 comma 000 40 cross times 70 equals 2 comma 800 40 cross times 4 equals 160 3 cross times 300 equals 900 3 cross times 70 equals 210 3 cross times 4 equals 12$
Step4: Now we have to add these numbers.
$left parenthesis 40 cross times 300 right parenthesis plus left parenthesis 40 cross times 70 right parenthesis plus left parenthesis 40 cross times 4 right parenthesis plus left parenthesis 3 cross times 300 right parenthesis plus left parenthesis 3 cross times 70 right parenthesis plus left parenthesis 3 cross times 4 right parenthesis equals 12 comma 000 plus 2 comma 800 plus 160 plus 900 plus 210 plus 12$
=> $16 comma 082$
So, the total number of miles Charlie ran is $16 comma 082$ .

Related Questions to study

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.