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Section 1.4 Examples
Example 1.4.1.
Write the sum of the numbers \(362.50, 273.2,\) and \(0.502 \) in a proper significant figures.
Solution.
The mathematical sum of the numbers is \(636.202\) but, the lowest decimal place in the data is one, hence the correct answer would be \(636.2\)
Example 1.4.2.
Write the numbers in correct to its significant figures if \(0.502 \) is subtracted from \(362.50\text{.}\)
Solution.
The mathematical subtraction is \(361.998\) but, the lowest decimal place in the data is two, hence the correct answer would be \(362.00.\)
Example 1.4.3.
Round off the numbers \(2.572, 2.566,\) and \(2.725\) to the three significant figures.
Answer.
2.57, 2.57, 2.73 (or, 2.72).
Example 1.4.4.
Round off the numbers \(2052, 8566,\) and \(5725\) to the two significant figures.
Answer.
2100 (or, 2000), 8600, 5700.
Example 1.4.5.
Write the answer for each expression using scientific notation with the appropriate number of significant figures.
\(\displaystyle 217 \div 903\)
\(\displaystyle 38.65\times105.74\)
\(\displaystyle 125\times9.000\)
\(\displaystyle 13.77 + 908.226 + 515\)
\(\displaystyle 255.0 - 99\)
\(\displaystyle 0.00666 \times 321\)
Solution.
\(\displaystyle 0.240\)
\(\displaystyle 4087\)
\(\displaystyle 113\)
\(\displaystyle 1440\)
\(\displaystyle 160\)
\(\displaystyle 2.14\)
Example 1.4.6.
What is the SI unit for measuring temperature?
Kelvin
Degree Celsius
Fahrenheit
Rankine
Example 1.4.7.
What is the SI unit for measuring length?
Kelvin
Second
Meter
Kilogram
Example 1.4.8.
What is the SI unit for measuring time?
Meter
Kilogram
Second
Watt
Example 1.4.9.
What is the conversion factor for converting centimeters to inch?
2.54
100
10
25.4
Answer.
