High School

**A. Round off the decimals to the nearest value to three decimal places.**

| | Nearest tenths | Nearest hundredths | Nearest thousandths |
|-----|----------------|--------------------|---------------------|
| 1. 0.7452 | 0.7 | 0.75 | 0.745 |
| 2. 3.4391 | 3.4 | 3.44 | 3.439 |
| 3. 12.1975 | 12.2 | 12.20 | 12.198 |
| 4. 29.1753 | 29.2 | 29.18 | 29.175 |
| 5. 65.1784 | 65.2 | 65.18 | 65.178 |
| 6. 97.7852 | 97.8 | 97.79 | 97.785 |
| 7. 139.185 | 139.2 | 139.19 | 139.185 |
| 8. 164.237 | 164.2 | 164.24 | 164.237 |

**B. Which number, when rounded to the nearest hundredth, will become 6.59?**

- 6.585
- 6.659
- 5.589
- 6.596
- 6.594
- 5.591
- 5.759
- 6.590

Answer :

To round numbers to a specific place value, you look at the digit immediately to the right of the target place. If this digit is 5 or greater, you round up. Otherwise, you round down.

A. Rounding Decimals:

  1. 0.7452:

    • Nearest tenths: 0.7 (already provided).
    • Nearest hundredths: We look at the digit in the thousandths place, which is 5. Therefore, we round up to 0.75.
    • Nearest thousandths: We look at the digit in the ten-thousandths place, which is 2. The hundredths digit remains the same, so it becomes 0.745.
  2. 3.4391:

    • Nearest tenths: 3.4 (already provided).
    • Nearest hundredths: The thousandths digit is 9, so we round up to 3.44.
    • Nearest thousandths: The ten-thousandths digit is 1, so it remains 3.439.
  3. 12.1975:

    • Nearest tenths: 12.2 (already provided).
    • Nearest hundredths: Since the thousandths place is 7, round up to 12.20.
    • Nearest thousandths: The ten-thousandths digit is 5, so round up to 12.198.
  4. 29.1753:

    • Nearest tenths: 29.2 (already provided).
    • Nearest hundredths: The thousandths place is 5, so round up to 29.18.
    • Nearest thousandths: The ten-thousandths digit is 3, so it remains 29.175.
  5. 65.1784:

    • Nearest tenths: 65.2 (already provided).
    • Nearest hundredths: The thousandths place is 8, so round up to 65.18.
    • Nearest thousandths: The ten-thousandths digit is 4, so it remains 65.178.
  6. 97.7852:

    • Nearest tenths: 97.8 (already provided).
    • Nearest hundredths: The thousandths digit is 5, so round up to 97.79.
    • Nearest thousandths: The ten-thousandths digit is 2, so it remains 97.785.
  7. 139.185:

    • Nearest tenths: The hundredths digit is 8, so round up to 139.2.
    • Nearest hundredths: The thousandths digit is 5, so round up to 139.19.
    • Nearest thousandths: Since there are no numbers beyond the thousandths, it remains 139.185.
  8. 164.237:

    • Nearest tenths: The hundredths digit is 3, so it remains 164.2.
    • Nearest hundredths: The thousandths digit is 7, so round up to 164.24.
    • Nearest thousandths: Since there are no numbers beyond the thousandths, it remains 164.237.

B. Rounding to Nearest Hundredth for 6.59:

To find a number that rounds to 6.59 when rounding to the nearest hundredth, look for a number whose thousandths digit is 5 or more (6.585 or greater, but less than 6.595).

From the options provided:

  • 6.585 rounds to 6.59 because the thousandths digit is 5.

Therefore, the correct number is 6.585.