significant figures (multiplication)

Question

Compute (3.42 × 2.1) keeping correct significant figures.

RankGuru · Accepted Answer

1. **Multiplication Rule**: In multiplication or division, the final result should be rounded to have the same number of significant figures as the factor with the **fewest** significant figures.
2. **Analyze Factors**:
   - $3.42$ has **3** significant figures.
   - $2.1$ has **2** significant figures.
3. **Raw Calculation**: $3.42 	imes 2.1 = 7.182$.
4. **Rounding**: The result must be restricted to 2 significant figures.
5. **Final Result**: $7.182$ rounds to **$7.2$**.

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significant figures (multiplication)

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