Chapter 3.5, Problem 8QR

Solution

To Find: The value of $1.66\times {10}^{-27}\text{kg}$ in decimal form.

  $1.66\times {10}^{-27}\text{kg}$ is 0.00000000000000000000000000166 kg in decimal form.

Given information:

The atomic mass unit is about $1.66\times {10}^{-27}$ kg.

Concept and Formula Used:

Use the concept of decimals. In scientific notation, write the number as the power of 10. When the decimal is shifted to the right, subtract the power as many times as it is shift to the right and if the decimal is shifted to the left, add the power as many times as it is shifted to the left. Calculation:

It is given that the atomic mass unit is about $1.66\times {10}^{-27}\text{kg}$ .

  $\begin{array}{c}1.66\times {10}^{-27}\text{kg}=\frac{1.66}{{10}^{27}}\text{kg}\\ 1.66\times {10}^{-27}=\frac{1.66}{1,000,000,000,000,000,000,000,000,000}\\ 1.66\times {10}^{-27}=0.00000000000000000000000000166kg\end{array}$

Conclusion:

  $1.66\times {10}^{-27}\text{kg}$ is 0.00000000000000000000000000166 kg in decimal form.