Q

# State the number of significant figures in the following: (a) 0007 m^2 (b) 2.64 x 10^24 kg (c) 0.2370 g cm^-3 (d) 6.320 J (e) 6.032 N m^-2 (f) 0.0006032 m^2

Q 2.10: State the number of significant figures in the following :
(a) $0.007 \ m^2$

(b) $2.64 \times 10^{24} kg$

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

(d) $6.320 \ J$

(e) $6.032 \ Nm^{-2}$

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

Views

(a) The given value is $0.007 \ m^2$.

Since, the number is less than 1, the zeros on the right to the decimal before the first non-zero integer is insignificant. So, the number 7 is the only significant digit.

$\therefore$ It has 1 significant digit.

(b) The value is $2.64 \times 10^{24} kg$

For the determination of significant values, we do not consider the power of 10 (Number is not less than 1). The digits 2, 6, and 4 are significant figures.

$\therefore$ It has 3 significant digits.

(c)The value is $0.2370 \ g cm^{-3}$.

For the given value with decimals, all the numbers 2, 3, 7 and 0 are significant.

$\therefore$ It has 4 significant digits.

(d) The value is $6.320 \ J$.

It has 4 significant digits.

(e)  The value is $6.032 \ Nm^{-2}$.

All the four digits are significant as the zeros in between two non-zero values are also significant.

$\therefore$ It has 4 significant digits.

(f) The value is $0.0006032 \ m^{2}$

Same as (a), first three zeroes after the decimal is insignificant. Only 6, 0, 3, 2 are significant.

$\therefore$ It has 4 significant digits.

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