### Question 2.10

NCERT Class XI Physics

State the number of significant figures in the following : (a) 0.007 m2 (b) 2.64 × 1024 kg (c) 0.2370 g cm-3 (d) 6.320 J (e) 6.032 N m-2 (f) 0.0006032 m2

### Solution

Remember: Starting zeroes are NEVER significant. Trailing zeroes are significant ONLY if the number is a decimal number.(a) $\displaystyle 0.007$

Ans: there is 1 significant figure. Zeroes to the left are never significant.

(b) $\displaystyle 2.64 × 10^{24} \text{ kg} $

Ans: 3 because the value is in scientific notation.

(c) $\displaystyle 0.2370 \text{g cm}^{-3} $

Ans: 4 because the number is decimal number so trailing zeroes are significant.

(d) 6.320 J

Ans: 4 because the number is decimal number so trailing zeroes are significant.

(e) $\displaystyle 6.032 \text{N m}^{-2}$

Ans: 4 because the number in scientific notation is $\displaystyle 6.032 \times 10^0$.

(f) $\displaystyle 0.0006032 \text{m}^2$

Ans: 4 because zeroes to the left are never significant.

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