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

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)

Given that

Value is 0.007 m².

We never count zeros before non zero value in significant figure. So 7 is only 1 significant figure

Answer: number of significant digit = 1  

(b)

The given that

Value is 2.64 × 10²⁴ kg.

Powers of 10 is irrelevant for the determination of significant figures. Hence 2,6 and 4 are significant figures

Answer: number of significant digit = 3  

(c)

Given that

Value is 0.2370 g cm–3.

Zeros after non zero number and decimal point are always significant. So all four numbers are significant

Answer: number of significant digit = 4  

(d)

Given that

Value is 6.320 J.

Zeros after non zero number and decimal point are always significant. So all four numbers are significant

Answer: number of significant digit = 4  

(e)

Given that

Value is  6.032 Nm^–2.

All zeroes between two non-zero digits are always significant. So all four numbers are significant

Answer: number of significant digit = 4  

(f)

Given that

Value is 0.0006032 m².

We never count zeros before non zero value in significant figure and All zeroes between two non-zero digits are always significant. So that last four digits are significant.

Answer: number of significant digit = 4