state the precision of the measured quantities
1. 353g
2. 6.00cm
please explain
both are 3 significant digits.
noo the answer is 1g and 0.01cm
To determine the precision of a measured quantity, we need to identify the number of significant figures in the measurement. Significant figures indicate the level of accuracy or uncertainty associated with a particular value.
1. 353g:
To determine the number of significant figures in 353g, we follow these rules:
- Non-zero digits are always significant. In this case, 3, 5, and 3 are all non-zero digits.
- Leading zeros (zeros before any non-zero digits) are not significant. In this case, there are no leading zeros.
- Trailing zeros (zeros after any non-zero digits) may or may not be significant. To determine if they are significant, we need more information.
If there is a decimal point present, the trailing zeros are significant. However, if there is no decimal point, the trailing zeros will not be considered significant.
In this case, we have no further information regarding the number of significant figures. Therefore, we cannot determine whether the trailing zero is significant or not. If we assume the trailing zero is significant, the number of significant figures will be 3 (353g). However, if we assume the trailing zero is not significant, the number of significant figures will be 2 (35g).
2. 6.00cm:
To determine the number of significant figures in 6.00cm, we follow the same rules mentioned earlier:
- Non-zero digits are always significant. In this case, 6 is the non-zero digit.
- Leading zeros (zeros before any non-zero digits) are not significant. In this case, there are no leading zeros.
- Trailing zeros (zeros after any non-zero digits) are significant when they are to the right of the decimal point.
In this case, we have a decimal point present, and there are two trailing zeros to the right of the decimal point. Therefore, all three digits, 6, 0, and 0, are significant.
Hence, the precision of the measured quantities are as follows:
1. If the trailing zero is significant: 3 significant figures (353g)
2. Assuming the trailing zero is not significant: 2 significant figures (35g)
3. 6.00cm: 3 significant figures