Chapter 2, Problem 3STP

Interpretation Introduction

Interpretation:

The correct representation of $\text{702}\text{.0}\text{g}$ in scientific notation needs to be determined.

Concept introduction: Scientific notation can be used to express any number as a number between $1$ and $10$ (termed as a coefficient) multiplied by $10$ raised to a power (termed as an exponent).

Answer to Problem 3STP

Correct answer: The correct option is (c).

Explanation of Solution

Reason for correct option: The given value is $\text{702}\text{.0}\text{g}$. Apply the rule of Scientific notation;

$\begin{array}{l}7.020<{10}^2\\ 7.020\times {10}^2=702.0\end{array}$

Hence, the correct option is (c).

Conclusion

Reasons for incorrect options: To simplify, put the given values according to the scientific notation’s rule.

Option (a):The given value is $7.02\times {10}^3\text{g}$. Apply the rules of Scientific notation;

$\begin{array}{l}7.02\times {10}^3\text{g}\text{=}\text{7020}\text{g}\\ \text{7020}\text{g}\ne 702.0\text{g}\end{array}$

Option (b): The given value is $70.20\times {10}^1\text{g}$. This is an incorrect option because the principle number $\left(70\right)$ is not in the range of $1$ to $10$.

Option (d): The given value is $70.20\times {10}^2\text{g}$. This is an incorrect option because the principle number $\left(70\right)$ is not in the range of $1$ to $10$.