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What decimal place should each answer be rounded to? How many significant figures does the rounded answer have?

Given:
[tex]101 \, \text{cm} - 99.1 \, \text{cm} = 1.9 \, \text{cm} \quad \text{(unrounded)}[/tex]

After rounding, the answer should be reported to the [tex]\(\square\)[/tex] and thus has [tex]\(\square\)[/tex] significant figures.

Answer :

To solve this problem, we need to determine the appropriate number of decimal places for rounding and identify how many significant figures the final answer has.

1. Perform the Subtraction:
- We have two measurements: 101 cm and 99.1 cm.
- Subtract the numbers: [tex]\( 101 \text{ cm} - 99.1 \text{ cm} = 1.9 \text{ cm} \)[/tex].

2. Determine Decimal Places for Rounding:
- Look at the number of decimal places in each of the measurements.
- The number 101 has no decimal places, while 99.1 has one decimal place.
- When performing subtraction like this, the result should be rounded according to the measurement with the fewest decimal places.
- Therefore, we round the answer to one decimal place.

3. Rounding the Answer:
- The unrounded answer is 1.9 cm.
- Since it already has one decimal place, it does not require additional rounding.

4. Determine Significant Figures:
- All non-zero digits in a measurement are considered significant.
- The number 1.9 has two significant figures: '1' and '9'.

In conclusion, after rounding, the answer is reported to one decimal place and has 2 significant figures.

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