The cedar trail is 2 7/8 miles long and the maple trail is 1 1/2 miles long how much longer is the cedar trail than the maple trail? a 1 3/4 miles b 1 3/8 miles c 3 8/10 miles d 4 3/8 miles

To find the difference in two lengths we need to subtract them

but here both length are given in mix fraction form

let us first try to write them in simple fraction form .

the first is : 2 7/8 we write it as : (8* 2 + 7 )/ 8 = 23/8

The second is : 1 1/2 we write it as : ( 2*1 + 1) /2 = 3/2

Let us now try finding difference : 23/8 - 3/2

as both have different number in the bottom we try to make a same number in denominator of both fractions .

2 can become by multiplying it to 4 .

let us multiply 3/2 by 4/4 it makes : ( 12 /8 )

now both fractions can be subtracted . (23/8 ) - ( 12/8 )

( 23 - 12 ) /8 = ( 11/8 )

that is the answer : 11/8 miles.

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.