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Question -

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



Answer -

(a) Answer: 1

The given quantity is 0.007 m2.

If the number is less than one, then all zeros on the right of thedecimal point (but left to the first non-zero) are insignificant. This meansthat here, two zeros after the decimal are not significant. Hence, only 7 is asignificant figure in this quantity.

The given quantity is 2.64 × 1024 kg.

Here, the power of 10 is irrelevant for the determination ofsignificant figures. Hence, all digits i.e., 2, 6 and 4 are significantfigures.

(c) Answer: 4

The given quantity is 0.2370 g cm–3.

For a number with decimals, the trailing zeroes are significant.Hence, besides digits 2, 3 and 7, 0 that appears after the decimal point isalso a significant figure.

(d) Answer: 4

The given quantity is 6.320 J.

For a number with decimals, the trailing zeroes are significant.Hence, all four digits appearing in the given quantity are significant figures.

(e) Answer: 4

The given quantity is 6.032 Nm–2.

All zeroes between two non-zero digits are always significant.

(f) Answer: 4

The given quantity is 0.0006032 m2.

If the number is less than one, then the zeroes on the right ofthe decimal point (but left to the first non-zero) are insignificant. Hence,all three zeroes appearing before 6 are not significant figures. All zerosbetween two non-zero digits are always significant. Hence, the remaining fourdigits are significant figures.

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