Add \(\left( {{\bf{9}}{\bf{.2 \times 1}}{{\bf{0}}^{\bf{3}}}{\bf{ s}}} \right){\bf{ + }}\left( {{\bf{8}}{\bf{.3 \times 1}}{{\bf{0}}^{\bf{4}}}{\bf{ s}}} \right){\bf{ + }}\left( {{\bf{0}}{\bf{.008 \times 1}}{{\bf{0}}^{\bf{6}}}{\bf{ s}}} \right)\).

Short Answer

Expert verified

The correct answer of the addition is \(1.0 \times {10^5}{\rm{ s}}\).

Step by step solution

01

Writing the giving data

Addition is defined as the process in which the combined or total result of two or more values can be obtained.

The data given is

\({T_1} = 9.2 \times {10^3}{\rm{ s}}\), \({T_2} = 8.3 \times {10^4}{\rm{ s}}\), and \({T_3} = 0.008 \times {10^6}{\rm{ s}}\).

02

Solving the addition using the rules of significant figures

The value obtained from the addition of the given values is:

\(\left( {9.2 \times {{10}^3}{\rm{ s}}} \right) + \left( {8.3 \times {{10}^4}{\rm{ s}}} \right) + \left( {0.008 \times {{10}^6}{\rm{ s}}} \right) = 10.02 \times {10^4}{\rm{ s}}\)

According to the rules of significant figures in addition, the final answer is written in numbers having the least digits after the decimal.

Thus, the final answer is \(1.0 \times {10^5}{\rm{ s}}\).

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