Give the number of significan figures and decimal places in each of the following:
1. 80750 X 10^-2
2. 9.9000 X 10^8
3. 30.366 X 10^4 cm^3
4. 0.11692 X 10^-5
Here are two good sites. The first one tells you how to do s.f. and the other is the definition of decimal place.
http://www.chemteam.info/SigFigs/SigFigs.html
https://www.google.com/search?q=what+is+a+decimal+place&ie=utf-8&oe=utf-8&aq=t&rls=org.mozilla:en-US:official&client=firefox-a&channel=sb
To determine the number of significant figures and decimal places in each of the given numbers, we need to understand the rules for significant figures and decimal places.
Significant Figures:
1. Non-zero digits are always significant. For example, 8 in 80750 is significant.
2. Zeros between non-zero digits are always significant. For example, 0 in 80750 is significant.
3. Leading zeros (zeros to the left of the first non-zero digit) are not significant. For example, 80 in 80750 is not significant.
4. Trailing zeros (zeros to the right of the last non-zero digit) are significant if there is a decimal point. For example, 50 in 80750 is significant.
Decimal Places:
1. Count the number of digits after the decimal point. For example, in 80750, we do not have any digits after the decimal point, so there are 0 decimal places.
Now, let's apply these rules to each of the given numbers:
1. 80750 X 10^-2:
Significant Figures: 5 (all non-zero digits are significant)
Decimal Places: 0 (no decimal point)
2. 9.9000 X 10^8:
Significant Figures: 5 (all non-zero digits are significant)
Decimal Places: 5 (all zeros after the decimal point are significant)
3. 30.366 X 10^4 cm^3:
Significant Figures: 5 (all non-zero digits are significant)
Decimal Places: 3 (3 digits after the decimal point)
4. 0.11692 X 10^-5:
Significant Figures: 5 (all non-zero digits are significant)
Decimal Places: 5 (all digits after the decimal point are significant)
Therefore, the number of significant figures and decimal places in each given number are as follows:
1. 80750 X 10^-2: 5 significant figures, 0 decimal places
2. 9.9000 X 10^8: 5 significant figures, 5 decimal places
3. 30.366 X 10^4 cm^3: 5 significant figures, 3 decimal places
4. 0.11692 X 10^-5: 5 significant figures, 5 decimal places