Answer :
To determine which values have 3 significant figures, let's analyze each option:
- Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant figures, and any trailing zeros in the decimal part.
Let's check each option:
A. 560
- The number 560 has trailing zeros in the whole number. If there's no decimal point, the trailing zero is not considered significant. Hence, it has 2 significant figures: 5 and 6.
B. 180
- Similar to 560, the trailing zero here does not count as a significant figure unless there's a decimal point. Therefore, it has 2 significant figures: 1 and 8.
C. 99.8
- This number has all non-zero digits, so each digit is significant. There are 3 significant figures: 9, 9, and 8.
D. 458
- All digits here are non-zero, making each one significant. This number has 3 significant figures: 4, 5, and 8.
Therefore, the numbers that have 3 significant figures are:
- C. 99.8
- D. 458
- Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant figures, and any trailing zeros in the decimal part.
Let's check each option:
A. 560
- The number 560 has trailing zeros in the whole number. If there's no decimal point, the trailing zero is not considered significant. Hence, it has 2 significant figures: 5 and 6.
B. 180
- Similar to 560, the trailing zero here does not count as a significant figure unless there's a decimal point. Therefore, it has 2 significant figures: 1 and 8.
C. 99.8
- This number has all non-zero digits, so each digit is significant. There are 3 significant figures: 9, 9, and 8.
D. 458
- All digits here are non-zero, making each one significant. This number has 3 significant figures: 4, 5, and 8.
Therefore, the numbers that have 3 significant figures are:
- C. 99.8
- D. 458