Use the following unit fractions to express 180 miles per hour in feet per second
5280 ft/ 1 mi, 60 min/ 1 hr , and 60 sec/1 min
Problem:
180 mi/hr=blank ft/sec

264 ft/sec

Step-by-step explanation:

We need to use the conversion factors

5280 ft/ 1 mi, 60 min/ 1 hr , and 60 sec/1 min

180 miles         1 hour               1 min        5280 ft

*  * *

hour                60 minutes       60 sec      1 miles

The hours, minutes and miles cancel are we are left with ft/sec

180 *5280        ft

*  

60*60                 sec      

264 ft/sec

264 ft/sec

Step-by-step explanation:

180 miles / hour

(180×5280) ÷ (1×60×60)

950400 ÷ 3600

264 ft/sec

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.

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step-by-step explanation:

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