Hi, please can someone tell me if this is the right number of significant figures.
8.1 x 10 to the power of -3 would have 2 sig fig
910 would have 3
175.0 would have 3
please can some tell me if I've got this right
Also how would I report each of the following measurements using both scientific notation and metric prefix system. Please can some tell me how I would do this step by step
0.751 g
260 Hz
710600 N
8.1 x 10^-3 would have 2 sig fig - agreed
910 would have 3 - agreed it could be 3 sig figs, but it could also be 2 sig figs
175.0 would have 3 - no this is 4 sig figs.
0.751 g is 7.51 x 10^-1 g (which is 3 sig figs)
260 Hz is 2.60 x 10^2 Hz (which is 3 sig figs) as 260 could also be 2 sig figs then 2.6 x 10^2 Hz is also a possible answer. You might even give the answer as 2.60 x 10^-1 kHz.
710600 N Again this could be 4,5 or 6 sig figs. Thus 7.10600 x 10^5 N (which is 6 sig figs) is a possible answer. I would be possible to give this as 7.10600 x 10^2 kN.
8.1 x 10 to (-3)power has 2 sig fig.
910 has 2 sig fig zero doesn't count unless there is a decimal point after it.
175.0 has 4 decimal point is present and zero is to the left of the other sig figs.
hope this helps!
To determine the correct number of significant figures in a number, you count all the digits from the first non-zero digit until the end of the number, including the zeros in between.
For "8.1 x 10^-3," you have two significant figures. The only non-zero digit is 8, and the zero after the decimal point is significant.
For "910," you have three significant figures since all the digits are non-zero.
For "175.0," you also have three significant figures. The zero after the decimal point is significant, indicating precision.
Regarding reporting measurements using scientific notation and metric prefixes, here's how to do it:
1. For 0.751 g:
- Scientific notation: The number is already expressed in decimal notation, so to convert it to scientific notation, we move the decimal point three places to the right because it is a small number. This gives us 7.51 x 10^-1 g.
- Metric prefix system: The metric prefix system allows us to represent the decimal powers of ten concisely. In this case, we can use the prefix "centi," which represents 10^-2. Thus, 0.751 g can be written as 75.1 centigrams (cg).
2. For 260 Hz:
- Scientific notation: The number is already expressed in decimal notation, so to convert it to scientific notation, we move the decimal point two places to the left because it is a large number. This gives us 2.60 x 10^2 Hz.
- Metric prefix system: The metric prefix system allows us to represent the decimal powers of ten concisely. In this case, we can use the prefix "kilo," which represents 10^3. Thus, 260 Hz can be written as 0.260 kilohertz (kHz).
3. For 710600 N:
- Scientific notation: The number is already expressed in decimal notation, so to convert it to scientific notation, we move the decimal point five places to the right because it is a large number. This gives us 7.106 x 10^5 N.
- Metric prefix system: The metric prefix system allows us to represent the decimal powers of ten concisely. In this case, we can use the prefix "kilo," which represents 10^3. Thus, 710600 N can be written as 710.6 kilonewtons (kN).
Remember, scientific notation and the metric prefix system are useful for expressing numbers in a concise and standardized way, especially when dealing with very large or very small values.