Question

round each of the following to 3 significant figures.

1. 98.473 m
2. 0.00076321 mm
3. 57.048 g
4. 12.15 g
5. 7.49830×10⁻⁴ mm
6. 874.5 °c

Explanation:

Step1: Identify significant figures

For 98.473 m, start counting from the left - most non - zero digit.

Step2: Apply rounding rule

The fourth digit 7 is greater than 5, so 98.473 rounds to 98.5 m.

Step3: For 0.00076321 mm

The first three significant figures are 7, 6, 3. The fourth digit 2 is less than 5, so it rounds to 0.000763 mm.

Step4: For 57.048 g

The fourth digit 4 is less than 5, so it rounds to 57.0 g.

Step5: For 12.15 g

The fourth digit 5 is equal to 5, and we round up the third digit, so it rounds to 12.2 g.

Step6: For 7.49830×10⁻⁴ mm

The fourth digit 8 is greater than 5, so it rounds to 7.50×10⁻⁴ mm.

Step7: For 874.5 °C

The fourth digit 5 is equal to 5, and we round up the third digit, so it rounds to 875 °C.

Answer:

1. 98.5 m
2. 0.000763 mm
3. 57.0 g
4. 12.2 g
5. 7.50×10⁻⁴ mm
6. 875 °C