Question

Will fan and medal and best response
What is 4.8 x 108 m/h in kilometers per hour PLEASE explain how to get the answer

Answer 1

0.0131674 but i am not sure
or it might be 518.4

Answer 2

alright thank you

Answer 3

you are welcome

Answer 4

is it
\[ 4.8 \cdot 10^8 \text{ meters/hour} \]
and change it to
kilometers/hour ?

Answer 5

yeah

Answer 6

The way to do all these "conversion" problems is to focus on the "units"
\[ \frac{meters}{hours} \]
and think the same way you do in algebra (if you know algebra)

we want to get km/hour, and we will get that by multiplying by "something"
\[ \frac{meters}{hours} \cdot \frac{km}{meters} \]
in algebra, the meters divided by meters will cancel
\[ \frac{\cancel{meters}}{hours} \cdot \frac{km}{\cancel{meters}} = \frac{km}{hour}\]

Answer 7

alright so then we have to convert the hours to km ?

Answer 8

what that means is we need the conversion from km to meters, written in the form
km/meters

say you know 1000 meters = 1 km

we want km/meters so divide both sides by 1000 meters
to get
\[ \frac{1 \ km}{1000 \ meters} \]
that is the fraction we use to do your problem
\[ 4.8 \cdot 10^8 \frac {meters}{hour}\cdot \frac{1 \ km}{1000 \ meters} \]

Answer 9

notice the "meters" cancel. If we move the numbers all together, we have
\[ \frac{4.8 \cdot 10^8}{1000} \frac{km}{hour} \]
which is the answer after we simplify the numbers.
can you do that ?

Answer 10

\[\frac{ 4.8 }{ 100000 }\] is what the answer would be ?

Answer 11

because \[10^{8}/1000=1000000\]

Answer 12

10^8 means 10 times itself 8 times. 1000 is 10*10*10,
so just the 10's part is
\[ \frac{10 \cdot 10\cdot 10\cdot 10\cdot 10\cdot 10\cdot 10\cdot 10}{10 \cdot 10\cdot 10} \]

notice we can write that as
\[ 10\cdot 10\cdot 10\cdot 10\cdot 10 \cdot \frac{10\cdot 10\cdot 10}{10\cdot 10\cdot 10} \]
anything divided by itself is 1, so that simplifies to
\[ 10\cdot 10\cdot 10\cdot 10\cdot 10 = 10^5 \]

it's faster if you remember the rule "subtract exponents"
and do this
\[ \frac{4.8 \cdot 10^8}{10^3} \frac{km}{hr} = 4.8 \cdot 10^{8-3} \frac{km}{hr} \\
4.8 \cdot 10^5 \frac{km}{hr} \]

Answer 13

oh alright thank you so much !!!!!!!!!!!!!!!