Chapter 5, Problem 1A

Interpretation Introduction

Interpretation:The power of the 10 needs to be determined if 98,145 is written in standard scientific notation.

Concept introduction:Scientific notation consists of a decimal number and an exponent or power of 10. This exponent can be negative or positive. Too big or too small numbers are easily represented by using scientific notation.

Answer to Problem 1A

Exponent indicating power of 10 will be 4 when the number 98,145 is written in standard scientific notation.

Explanation of Solution

A number can be converted into scientific form as follows:

  ${\text{N×10}}^{\text{n}}$

Here, n is exponent or power of 10. This can be positive or negative depending whether the number is less than 0 or greater than 0.

Given number is 98,145.

To convert the given number into scientific notation, decimal point must be moved 4 places to the left. Thus exponent is positive four.

Scientific notation of the above number is as follows:

  $\text{9}{\text{.8145×10}}^4$

Thus, exponent including power of 10 will be 4.

Conclusion

Thus, exponent indicating power of 10 will be 4 when the number 98,145 is written in standard scientific notation.