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Answer :
Sure! Let's determine the number of significant figures in each given value step by step.
#### a. 6.002 cm
- All non-zero digits are significant.
- Any zeros between significant digits are also significant.
- Therefore, 6.002 cm has 4 significant figures.
#### b. 7000 kg
- All non-zero digits are significant.
- Trailing zeros in a number without a decimal point are not necessarily significant unless indicated by a bar or other notation.
- Therefore, 7000 kg has 1 significant figure.
#### c. 0.0020 m
- Leading zeros (zeros before the first non-zero digit) are not significant.
- Any zeros after the first non-zero digit and to the right of a decimal point are significant.
- Therefore, 0.0020 m has 2 significant figures.
#### d. [tex]$7000 . kg$[/tex]
- As stated before, trailing zeros in a number without a decimal point are interpreted as not necessarily significant.
- When considering precision or implied decimal points, there's ambiguity, but in general practice without additional notation, we assume the zeros are not significant.
- Hence, this case too will assume 1 significant figure, disregarding the dollar sign typo.
#### e. 10.0500 g
- All non-zero digits are significant.
- Zeros between significant digits are significant.
- Trailing zeros after a decimal point are significant.
- Therefore, 10.0500 g has 6 significant figures.
To summarize:
- 6.002 cm has 4 significant figures.
- 7000 kg has 1 significant figure.
- 0.0020 m has 2 significant figures.
- [tex]$7000 . kg$[/tex] (assuming it was meant to be 7000 kg) has 1 significant figure.
- 10.0500 g has 6 significant figures.
I hope this helps! Let me know if you have any further questions.
#### a. 6.002 cm
- All non-zero digits are significant.
- Any zeros between significant digits are also significant.
- Therefore, 6.002 cm has 4 significant figures.
#### b. 7000 kg
- All non-zero digits are significant.
- Trailing zeros in a number without a decimal point are not necessarily significant unless indicated by a bar or other notation.
- Therefore, 7000 kg has 1 significant figure.
#### c. 0.0020 m
- Leading zeros (zeros before the first non-zero digit) are not significant.
- Any zeros after the first non-zero digit and to the right of a decimal point are significant.
- Therefore, 0.0020 m has 2 significant figures.
#### d. [tex]$7000 . kg$[/tex]
- As stated before, trailing zeros in a number without a decimal point are interpreted as not necessarily significant.
- When considering precision or implied decimal points, there's ambiguity, but in general practice without additional notation, we assume the zeros are not significant.
- Hence, this case too will assume 1 significant figure, disregarding the dollar sign typo.
#### e. 10.0500 g
- All non-zero digits are significant.
- Zeros between significant digits are significant.
- Trailing zeros after a decimal point are significant.
- Therefore, 10.0500 g has 6 significant figures.
To summarize:
- 6.002 cm has 4 significant figures.
- 7000 kg has 1 significant figure.
- 0.0020 m has 2 significant figures.
- [tex]$7000 . kg$[/tex] (assuming it was meant to be 7000 kg) has 1 significant figure.
- 10.0500 g has 6 significant figures.
I hope this helps! Let me know if you have any further questions.
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