## sissyedgar one year ago 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

1. sissyedgar

@amirreza1870 @Shalante

2. triciaal

need 2 step conversion

3. sissyedgar

right, cm to meter min 2 hour

4. triciaal

cm to m and min to hr

5. triciaal

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

6. sissyedgar

1 meter = 100 cm

7. sissyedgar

1 hour = 60 minutes

8. triciaal

correct

9. triciaal

I would do min to hr first

10. triciaal

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

11. sissyedgar

right.

12. sissyedgar

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

13. Jack1

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?