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
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
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
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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