On average, the moon is 384,400 kilometers from the Earth. How is this distance written in
2 answers:
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Answer:
- <em><u>1. There are infinite 8's</u></em>
- <em><u>2. The estimate is 130.89</u></em>
- <em><u>3. The difference is 0.01</u></em>
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Explanation:
There are countless, or infinite, 8's in the answer because the result is a periodic decimal:
The notation used for the periodic decimal numbers is an arc over the number that is repeated. In this case, it would be an arc over the first 8.
I will use a bar just to show how it is, but instead of a bar it should be an arc:
The <em>estimation</em> or approximation to <em>two decimal places</em> requires to drop the 8's since the third one and increase the second 8 to 9 (because the first decimal dropped is greater than or equal to 5).
Thus the estimated value would be 13.89.
The difference is:
- 130.89 - 130.888. . . = 0.0111. . .
- Rounded to 2 decimal places: 0.01