Which of the following word problems models the expression 8 3/10 divided by 2 1/2 ? select all that apply.
a. sophie has fabric cut into pieces 2 1/2 yards in length. if the original fabric was 8 3/10 yards, how long was each piece?
b. grace divided 2 1/2 cups of popcorn into bags each with 8 3/10 of a cup. how many bags of popcorn did she fill?
c. brayden split 8 3/10 cups of flour into batches of 2 1/2 cups. how many batches of flour did brayden have?
d. cole combined 8 3/10 cups of almonds with 2 1/2 cups of pretzels. how many cups did he have in the mixture?

answer is 67%

step-by-step explanation:

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.

so, converting firstly the mixed fractions to improper fractions and then "adding".