Chapter 5, Problem 2STP

Interpretation Introduction

Interpretation:

The given value $0.00003007$ is to be expressed in exponential notation.

Concept Introduction:

An exponential notation for a positive integer always follows the given notation,

  $a\times {10}^{-b}$

The exponential notation is also known as the scientific notation sometimes.

Answer to Problem 2STP

Correct answer: A. $3.007\times {10}^{-5}$

Explanation of Solution

Reason for correct option:

For finding the $a$ :

Consider the number and move the decimal place to the right after first digit, such that

The given number is,

  $0.00003007$

The new number is $3.007$ that is the numeric part.

For finding the $b$ :

In the exponent part, ${10}^{-b}$ is represent a fractional number with digit on which occupying the $b^{th}$ decimal place to the right of the decimal point.

So, the number in exponential form is $3.007\times {10}^{-5}$