If a truck travels 301 miles on 19 gallons of gas how many miles per gallon does it average (to the nearest tenth)?

ANSWER:  

On an average, the truck traveled approximately 15.8 miles per each gallon.

SOLUTION:

Given, a truck travels 301 miles on the gas of 19 gallons.

Then, total distance traveled = 301 miles

Total number of gallons of gas used = 19 gallons

We need to find miles traveled per gallon on an average.

Now, miles traveled per gallon =

Miles traveled per gallon = = 15.842

Rounding to nearest tenth place. Here “8” is in the tenth place. The number which is to right of 8 is 4 which is less than 5. So the numbers to right of 8 disappears and we get solution as 15.8

On an average, the truck travelled approximately 15.8 miles per each gallon.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.