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Physics - Solved Example Problems for Significant Figures | 11th Physics : Nature of Physical World and Measurement

Chapter: 11th Physics : Nature of Physical World and Measurement

Solved Example Problems for Significant Figures

Physics : Nature of Physical World and Measurement

Rules of Significant Figures


Example 1.10

State the number of significant figures in the following

i.        600800

ii.       400

iii.      0.007

iv.      5213.0x

v.       2.65 × 1024 m

vi.      0.0006032

Solution

Solution: i) four ii) one iii) one iv) five v) three vi) four


Rounding Off

Example 1.11

Round off the following numbers as indicated

i) 18.35 up to 3 digits

ii) 19.45 up to 3 digits

iii) 101.55 × 106 up to 4 digits

iv) 248337 up to digits 3 digits

v) 12.653 up to 3 digits.

Solution

i) 18.4 ii) 19.4 iii) 101.6 × 106 iv) 248000 v) 12.7


Addition and subtraction

Example:

1) 3.1 + 1.780 + 2.046 = 6.926

Here the least number of significant digits after the decimal is one. Hence the result will be 6.9.

2) 12.637 - 2.42 = 10.217

Here the least number of significant digits after the decimal is two. Hence the result will be 10.22


Multiplication and Division

Example:

1) 1.21 × 36.72 = 44.4312 = 44.4

Here the least number of significant digits in the measured values is three. Hence the result when rounded off to three significant digits is 44.4

2) 36.72 ÷ 1.2 = 30.6 = 31

Here the least number of significant digits in the measured values is two. Hence the result when rounded off to significant digit becomes 31.


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