Instruction: Round off the following values to (a) 3 significant digits and (b) 2 significant digits
GIVEN 3 SIGNIFICANT DIGITS 2 SIGNIFICANT DIGITS
1. 586492 ____________________ __________________
2. 0.0004317 ____________________ __________________
3. 7306.28 ____________________ __________________
4. 2.047 ____________________ __________________
5. 0.08105 ____________________ ___________________
6. 10253.3 _____________________ _______________________
7. 0.003049 _____________________ ______________________
8. 9.0016 ____________________ ______________________
GIVEN 3 SIGNIFICANT DIGITS 2 SIGNIFICANT DIGITS
1. 586492 ____________________ __________________
2. 0.0004317 ____________________ __________________
3. 7306.28 ____________________ __________________
4. 2.047 ____________________ __________________
5. 0.08105 ____________________ ___________________
6. 10253.3 _____________________ _______________________
7. 0.003049 _____________________ ______________________
8. 9.0016 ____________________ ______________________
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Answer:
1. 586492
3 sf: 5.86 × 10⁵
2 sf: 5.9 × 10⁵
2. 0.0004317
3 sf: 4.32 × 10⁻⁴
2 sf: 4.3 × 10⁻⁴
3. 7306.28
3 sf: 7.31 × 10³
2 sf: 7.3 × 10³
4. 2.047
3 sf: 2.05
2 sf: 2.0
5. 0.08105
3 sf: 8.10 × 10⁻² (if rule of 5 applied). Otherwise, it is 8.11 × 10⁻²
Note: Rule of 5 is applied mostly in engineering and scientific works.
2 sf: 8.1 × 10⁻²
6. 10253.3
3 sf: 1.03 × 10⁴
2 sf: 1.0 × 10⁴
7. 0.003049
3 sf: 3.05 × 10⁻³
2 sf: 3.0 × 10⁻³
8. 9.0016
3 sf: 9.00
2 sf: 9.0