Rounding Decimals A83176
1. The problem is to round each given number to the nearest hundredth and to the nearest thousandth.
2. The hundredth place is the second digit to the right of the decimal point.
3. The thousandth place is the third digit to the right of the decimal point.
4. To round to the nearest hundredth, look at the thousandth digit:
- If it is 5 or more, increase the hundredth digit by 1.
- If it is less than 5, keep the hundredth digit the same.
5. To round to the nearest thousandth, look at the digit after the thousandth place:
- If it is 5 or more, increase the thousandth digit by 1.
- If it is less than 5, keep the thousandth digit the same.
6. Applying these rules to the first number 3.215:
- Nearest hundredth: The thousandth digit is 5, so round up the hundredth digit 1 to 2, result is $3.22$.
- Nearest thousandth: The digit after thousandth is not present, so it remains $3.215$.
7. Repeat for all numbers:
| Number | Nearest Hundredth | Nearest Thousandth |
|--------|-------------------|--------------------|
| 3.215 | $3.22$ | $3.215$ |
| 44.444 | $44.44$ | $44.444$ |
| 0.009 | $0.01$ | $0.009$ |
| 2.3838 | $2.38$ | $2.384$ |
| 8.005 | $8.01$ | $8.005$ |
| 16.336 | $16.34$ | $16.336$ |
| 0.0091 | $0.01$ | $0.009$ |
| 2.9999 | $3.00$ | $3.000$ |
| 91.921 | $91.92$ | $91.921$ |
| 593.30 | $593.30$ | $593.300$ |
Final answers:
- Nearest hundredth: $3.22$, $44.44$, $0.01$, $2.38$, $8.01$, $16.34$, $0.01$, $3.00$, $91.92$, $593.30$
- Nearest thousandth: $3.215$, $44.444$, $0.009$, $2.384$, $8.005$, $16.336$, $0.009$, $3.000$, $91.921$, $593.300$