QuestionConvert $19.2 \times 10^{8}$ minutes to hours.

Studdy Solution

STEP 1

Assumptions1. The time given is in minutes and we need to convert it to hours. . We know that1 hour =60 minutes.

STEP 2

First, we need to write down the given time in minutes.
$Time_{minutes} =19.2 \times10^{8}$

STEP 3

To convert minutes to hours, we divide the time in minutes by the number of minutes in an hour.
$Time_{hours} = \frac{Time_{minutes}}{60}$

STEP 4

Now, plug in the given value for the time in minutes to calculate the time in hours.
$Time_{hours} = \frac{19.2 \times10^{8}}{60}$

STEP 5

We can simplify the division by splitting it into two parts. First, divide19.2 by60. Then, divide $10^{8}$ by60.
$Time_{hours} = \frac{19.2}{60} \times \frac{10^{8}}{60}$

STEP 6

Calculate the time in hours.
$Time_{hours} = \frac{19.2}{60} \times \frac{10^{8}}{60} =0.32 \times10^{8} \times \frac{10^{8}}{60}$

STEP 7

implify the expression.
$Time_{hours} =0.32 \times \frac{10^{} \times10^{}}{60} =0.32 \times \frac{10^{16}}{60}$

STEP 8

Calculate the final time in hours.
$Time_{hours} =0.32 \times \frac{10^{16}}{60} =5.33 \times10^{14}$ The time in hours is $5.33 \times10^{14}$ hours.

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