Question

rules for calculating significant​

Answer 1

• all non zero digit are significant

• zero between two non zero digit are significant

• initial zero are never significant

• ending zero are significant if they appear after decimal

Answer 2

Answer:

Rule

i) All non-zero digits are significant.eg : 1342 has four significant figures

ii) All zeros between two non zero digits are significant.eg: 2008 has four significant figures

iii) All zeros to the right of a non-zero digit but

to the left of a decimal point are significant.

eg: 30700. has five significant figures

iv) a) The number without a decimal point, the

terminal or trailing zero(s) are not significant.

b) All zeros are significant if they come.for eg :

1. from a measurement 30700 has three significant figures
2. 30700 m has five significant figures

v) If the number is less than 1, the zero (s) on the right of the decimal point but to left of the first non zero digit are not significant. eg:

0.00345 has three significant figures

vi) All zeros to the right of a decimal point and to the right of non-zero digit are significant. eg :

40.00 has four significant figures and

0.030400 has five significant figures

vii) The number of significant figures does not depend on the system of units used . eg:

1.53 cm, 0.0153 m, 0.0000153 km,

all have three significant figures

Note: 1 Multiplying or dividing factors, which are neither rounded numbers nor numbers representing

measured values, are exact and they have infinite numbers of significant figures as per the situation. For

example, circumference of circle S = 2πr, Here the factor 2 is exact number. It can be written as 2.0, 2.00 or

2.000 as required.

Note: 2 The power of 10 is irrelevant to the determination of significant figures.

For example x = 5.70 m = 5.70 × 102

cm = 5.70 × 103

mm = 5.70 × 10−3 km.

In each case the number of significant figures is three

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