Chapter 2.2, Problem

Interpretation Introduction

Interpretation:

The scientific notation for 0.00087 and 54, 200, 000 is to be expressed.

Concept introduction:

The way of expressing too big or too small numbers into a convenient decimal form is known as Scientific notation. 

Answer

$\text{0}\text{.00087=8}\text{.7}\times {\text{10}}^{\text{-4}}$ and $\text{54, 200, 000 =5}\text{.42}\times {\text{10}}^{\text{7}}$

Explanation of Solution

Scientific notation is used to express any number as a number between 1 and 10 that is known as coefficient and is multiplied by 10 raised to a power that is known as exponent.

Scientific notation for 0.00087 it is $\text{8}\text{.7}\times {\text{10}}^{\text{-4}}$ and for 54, 200, 000 $\text{5}\text{.42}\times {\text{10}}^{\text{7}}$

Conclusion

Thus, 0.00087 is expressed as $\text{8}\text{.7}\times {\text{10}}^{\text{-4}}$ and 54, 200, 000 is expressed as $\text{5}\text{.42}\times {\text{10}}^{\text{7}}$ in scientific notation.