Chapter 5, Problem 2A

Interpretation Introduction

Interpretation: The ordinary decimal form of given number $\text{4}\text{.512}\times {\text{10}}^{\text{3}}$ needs to be determined.

Concept introduction: Scientific notation is quantitative knowledge which is called a calculation and a number and unit exist. Too big or too small numbers are easily represented by using scientific notation.

Answer to Problem 2A

The given number is expressed as 4512 in ordinary decimal notation

Explanation of Solution

A number can be written in 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 a number is $4.512\times {10}^3$ .

Scientific notation consists of 4.512 coefficients that is multiplied by 10 raises to an exponent 3.

To convert a real number start with base and multiply by 3 ten is as follows:

  $4.512\times 10\times 10\times 10=4512$

Thus ordinary decimal notation is expressed as 4512.

Conclusion

Thus, the given number is expressed as 4512 in ordinary decimal notation