# Worksheet: Rounding Multi-Digit Numbers with Decimals to Any Place Value

In this worksheet, we will practice rounding multidigit decimals to any place value up to hundred thousands.

**Q2: **

Round 326,253.9 to the nearest ten thousand.

**Q3: **

Round 84,121,638.772 to the nearest hundred thousand.

**Q4: **

Fill in the blanks in the following table:

Number | Number Rounded to the Nearest 10,000 | Number Rounded to the Nearest 1,000 | Number Rounded to the Nearest 100 | Number Rounded to the Nearest 10 | Number Rounded to the Nearest Unit |
---|---|---|---|---|---|

194,034.854 |

- A194,034, 190,000, 194,040, 194,000, 194,000
- B190,000, 194,000, 194,000, 194,030, 194,035
- C190,000, 194,000, 194,035, 194,030, 194,000
- D194,034, 190,000, 194,000, 194,000, 194,040

**Q5: **

A piece of string is measured to be 4.2 cm, correct to the nearest millimeter. Determine, to the nearest thousandth, the relative error of this measurement.

**Q6: **

Find the missing digit in the following: to the nearest thousandth.

**Q7: **

Which of the following all become 19.175 when rounded to the nearest thousandth?

- A19.1745, 19.1752, 19.1757
- B19.1745, 19.1751, 19.1754
- C19.1744, 19.1751, 19.1754
- D19.1741, 19.1745, 19.1754

**Q8: **

75.8536 kilometers kilometers to the nearest kilometer.

**Q9: **

Complete the following table:

Number | Approximated to the Nearest Unit | Approximated to the Nearest Tenth | Approximated to the Nearest Hundredth | Approximated to the Nearest Thousandth |
---|---|---|---|---|

161.3312 | 161 | 161.3 | 161.33 | 161.331 |

- A0, 0.3, 0.3, 0.27
- B0, 0.3, 0.26, 0.264
- C0, 0.2, 0.25, 0.263
- D0, 0.3, 0.4, 0.26
- E1, 0.4, 0.27, 0.265

**Q11: **

Round 7.13584 to the nearest ten-thousandth.

**Q12: **

Find the missing digits in the following: to the nearest thousandth.

- A9, 8
- B8, 7
- C8, 9
- D8, 8

**Q14: **

Round 34.1754 to the nearest thousandth.

**Q15: **

to the nearest .

**Q16: **

Round the following decimal to the nearest ten-thousandth: 4,781.341.

**Q19: **

Round 93.7963 to the nearest thousandth.

**Q20: **

Is it true that to the nearest hundredth?

- Ayes
- Bno

**Q21: **

Complete the table below as in the solved example.

Number | Number Rounded to the Nearest Unit | Number Rounded to the Nearest Tenth | Number Rounded to the Nearest Hundredth | Number Rounded to the Nearest Thousandth |
---|---|---|---|---|

925.5376 | 926 | 925.5 | 925.54 | 925.538 |

259.4519 |

- A259, 259.5, 259.6, 259.45
- B260, 259.6, 259.46, 259.453
- C259, 259.5, 259.5, 259.46
- D259, 259.5, 259.45, 259.452
- E258, 259.4, 259.44, 259.451

**Q23: **

Round 29.8413 to the nearest thousandth.

**Q24: **

Which of the following is the number that would be 37.7 when rounded to the nearest tenth, 37.74 when rounded to the nearest hundredth, and 37.743 when rounded to the nearest thousandth?

- A37.7531
- B37.7431
- C37.7436
- D37.8431

**Q25: **

to the nearest 100.