QUESTION IMAGE
Question
full name:
assume all numbers are measureme
- state the number of significant fig sig figs, in each of the following va (3 marks)
| # of sig figs | |
|---|---|
| 49,000 | |
| 560,000 | |
| 0.006750 | |
| 0.07 | |
| 1.0010 |
Step1: Identify significant - fig rules
Non - zero digits are always significant. Zeros between non - zero digits are significant. Trailing zeros in a number with a decimal point are significant. Leading zeros are not significant. Trailing zeros in a whole number without a decimal point may or may not be significant (here we assume they are not significant for standard cases).
Step2: Analyze 45.0
Non - zero digits 4 and 5 are significant, and the trailing zero is significant as there is a decimal point. So there are 3 significant figures.
Step3: Analyze 49,000
Non - zero digits 4 and 9 are significant. Trailing zeros without a decimal point are not significant. So there are 2 significant figures.
Step4: Analyze 560,000
Non - zero digits 5 and 6 are significant. Trailing zeros without a decimal point are not significant. So there are 2 significant figures.
Step5: Analyze 0.006750
Non - zero digits 6, 7, 5 are significant, and the trailing zero is significant as there is a decimal point. Leading zeros are not significant. So there are 4 significant figures.
Step6: Analyze 0.07
Non - zero digit 7 is significant. Leading zeros are not significant. So there is 1 significant figure.
Step7: Analyze 1.0010
Non - zero digits 1 and 1 are significant, and the zeros between non - zero digits and the trailing zero are significant. So there are 5 significant figures.
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| Value | # of sig figs |
|---|---|
| 49,000 | 2 |
| 560,000 | 2 |
| 0.006750 | 4 |
| 0.07 | 1 |
| 1.0010 | 5 |