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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:
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.
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.
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.
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.
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.
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.
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.
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.
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