Question

What is 4.6 × 10^8 cm/min in meters per hour?

A.
2.76 × 10^8 m/h

B.
2.76 × 10^10 m/h

C.
7.67 × 10^6 m/h

D.
7.67 × 10^8 m/h

Answer 1

@amirreza1870
@Shalante

Answer 2

need 2 step conversion

Answer 3

right, cm to meter
min 2 hour

Answer 4

cm to m and min to hr

Answer 5

it does not matter which one you do first but pay attention to the conversion factor

Answer 6

1 meter = 100 cm

Answer 7

1 hour = 60 minutes

Answer 8

correct

Answer 9

I would do min to hr first

Answer 10

remember when you multiply numbers with the same base add the exponents
when you divide numbers with the same base subtract the exponents

Answer 11

right.

Answer 12

still dont kno wat 2 do 1st in converision!
@Shalante

Answer 13

4.6 × 10^8 cm/min

\(\Large= \frac{4.6 × 10^8 ~cm}{1~ min} \)

so first: convert from minutes to hours

\(\Large= \frac{4.6 × 10^8 ~cm}{1~ min} ~ \times ~ \frac {60~mins}{1~hr}~ =~ \frac {4.6 × 10^8 × 60 ~cm}{1~hr}\)

now you have an answer in cm per hour... so convert this to centimeters to meters

\(\Large= \frac {4.6 × 10^8 × 60 ~cm}{1~hr} ~ \times ~ \frac {1~m}{1000~cm}~ =~ \frac {4.6 × 10^8 × 60 ~m}{1000~hrs}\)

now expand it out:

\(\Large= \frac {4.6 × 10^8 × 60 ~m}{1000~hrs} = \frac {27600000000~m}{1000~hrs}\)

now reduce it down to scientific notation... can you do that from here?