asked 36.6k views
4 votes
Pls answer if wrong I report

Pls answer if wrong I report-example-1
asked
User Dreamlax
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8.7k points

2 Answers

4 votes

Basically the number above the 10 means how many 0's to add to the number.

For 9 x
10^7, you add 7 0's, so you'd get:

90,000,000

For 2 x
10^5, you add 5 0's, so you'd get:

200,000

To find how many times more it is, you can just divide.

90,000,000 / 200,000

= 450

answered
User Keith Otto
by
8.5k points
2 votes

Answer:

D) 450

Explanation:

The distance from the Earth to the Sun is approximately 9 × 10⁷ miles.

The distance from the Earth to the moon is approximately 2 × 10⁵ miles.

To find out how many times the distance from the Earth to the Moon is the distance from the Earth to the Sun, we can divide the distance to the Sun by the distance to the Moon:


(9 * 10^7)/(2 * 10^5)

To simplify this using exponent rules, apply the rule for dividing numbers with the same base:


\boxed{(a^m)/(a^n) = a^(m - n)}

In this case, the base is 10, and the exponents are 7 and 5. Therefore:


\begin{aligned}(9 * 10^7)/(2 * 10^5)&=(9)/(2) * (10^7)/(10^5)\\\\&=(9)/(2) * 10^(7-5)\\\\&=(9)/(2) * 10^2\\\\&=(9)/(2) * 100\\\\&=4.5 * 100\\\\&=450\end{aligned}

Therefore, the distance from the Earth to the Sun is approximately 450 times the distance from the Earth to the Moon.

answered
User Quettabit
by
7.6k points

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