To represent the number "five hundred six and ninety-two thousandths" (which is written numerically as 506.092), we can break it down into its parts:
- \(5\) hundreds (which is \(5 \times 100\))
- \(6\) ones (which is \(6 \times 1\))
- \(0\) tenths (which is \(0 \times \frac{1}{10}\))
- \(9\) hundredths (which is \(9 \times \frac{1}{100}\))
- \(2\) thousandths (which is \(2 \times \frac{1}{1000}\))
Based on the options provided:
-
\( (5 \times 100) + (6 \times 1) + (9 \times \frac{1}{10}) + (2 \times \frac{1}{100}) \)
- This representation is incorrect because it includes \(9 \times \frac{1}{10}\) instead of \(9 \times \frac{1}{100}\).
-
\( (5 \times 100) + (6 \times 1) + (9 \) (incomplete)
- This option is also incomplete and cannot accurately represent the number.
Given these options, none of the provided representations accurately represent "five hundred six and ninety-two thousandths."
The correct breakdown should include:
\[ (5 \times 100) + (6 \times 1) + (9 \times \frac{1}{100}) + (2 \times \frac{1}{1000}) \]
If there are other options or variations to explore, feel free to share!
1 answer