You Can Do Math

This book provides a complete guide to scientific notation (known in the UK as standard form) and engineering notation. It explains how the notation works, the advantages of using it, how to convert to and from it, how to compare numbers and orders of magnitude, and even how to perform approximate arithmetic operations (without using a calculator) such as addition, subtraction, multiplication, division, exponentiation, square roots, cube roots, and logarithms on numbers in scientific notation. There are over 200 questions and answers (answers explain how to get the answer) to help you master this important math topic. Table of contents is: Chapter 1: What are Scientific Notation and Engineering Notation?

Whole Number Powers of 10

What is Scientific Notation?

- Converting Decimal Numbers to Normalized Scientific Notation

- Converting Scientific Notation to Decimal

What is Normalized Scientific Notation (Standard Form)?

- Significant Figures

- Estimated Final Digits

- E-notation and Other Notational Standards

- Converting Decimal Numbers to Normalized Scientific Notation

- Converting Scientific Notation to Decimal

What is Engineering Notation?

- Significant Figures

- Engineering Notation and SI Unit Prefixes

- Converting Decimal Numbers to Engineering Notation

- Converting Engineering Notation to Decimal

Normalizing and Denormalizing Numbers in Scientific and Engineering Notation

- Increasing the Value of the Exponent and Decreasing the Absolute Value of the Coefficient

- Decreasing the Value of the Exponent and Increasing the Absolute Value of the Coefficient

- Converting a Number in Normalized Scientific Notation to Engineering Notation

- Converting a Number in Engineering Notation to Normalized Scientific Notation

Questions

Answers to Chapter 1 Questions Chapter 2: Comparing Numbers in Scientific Notation

Comparing Numbers in Normalized Scientific Notation

Comparing Numbers in Engineering Notation

Comparing Numbers in Denormalized Scientific Notation

Questions

Answers to Chapter 2 Questions Chapter 3: Orders of Magnitude

Definitions of Order of Magnitude

Order of Magnitude Estimates

Order of Magnitude Differences

- Approximate Order of Magnitude Differences

Questions

Answers to Chapter 3 Questions Chapter 4: Adding & Subtraction

How to Add Numbers in Scientific and Engineering Notation

- Approximate Addition in Scientific and Engineering Notation

How to Subtract Numbers in Scientific and Engineering Notation

- Approximate Subtraction in Scientific and Engineering Notation

Questions

Answers to Chapter 4 Questions Chapter 5: Multiplication and Division

How to Multiply Numbers in Scientific and Engineering Notation

- Approximate Multiplication in Scientific and Engineering Notation

How to Divide Numbers in Scientific and Engineering Notation

- Approximate Division in Scientific and Engineering Notation

Questions

Answers to Chapter 5 Questions Chapter 6: Exponentiation

How to Exponentiate Numbers in Scientific and Engineering Notation

- Approximate Exponentation in Scientific and Engineering Notation

How to Find Approximate Square Roots in Scientific and Engineering Notation

How to Find Approximate Cube Roots in Scientific and Engineering Notation

Questions

Answers to Chapter 6 Questions Chapter 7: Logarithms

How to Calculate Approximate Logarithms in Base 10

How to Calculate Approximate Logarithms in Base 2

How to Calculate Approximate Natural Logarithms

Questions

Answers to Chapter 7 Questions Conclusion