**MATHS MISCONCEpTIONS**

Minus and negative

# About this course

Many people believe that ‘minus’ and ‘negative’ are the same thing. This a misconception.

This misconception is probably perpetuated by the fact that we often use the words interchangeably. But, as you will see, this hasn’t always been the case - and using 'minus' and 'negative' interchangeably doesn’t usually cause a problem so people don’t realise there is a difference between them.

In this **HaileyburyX Misconceptions** course we will first delve through the history of minus and negative to see their differences and similarities.

Then, we'll then explain how and why operations with negative numbers work.

Finally, we'll tackle a few specific misconceptions that people often have about minus and negative.

# The history of negative numbers

Watch this video which shows a very brief history of negative numbers, how they were written and how they are written today.

# DEFINITION OF MINUS AND NEGATIvE

Learn the definition of minus and negative and how to explain the difference.

# ADDING 'FORTUNES' and 'DEBTS'

Learn how to add positive and negative numbers and why the rules for these operations work.

# SUBTRACTING 'FORTUNES' and 'DEBTS'

Learn how to add positive and negative numbers and why the rules for these operations work.

# MULTIPLYING 'FORTUNES' and 'DEBTS'

In this sequence of videos you will learn how multiplication works with positive numbers and how these rules dictate the rule for multiplying with negative numbers.

**MULTIPLYING FORTUNES AND DEBTS PART 1**

**MULTIPLYING FORTUNES AND DEBTS PART 2**

**MULTIPLYING FORTUNES AND DEBTS PART 3**

# IS THERE A DIFFERENCE BETWEEN...

Watch this Khan Academy video and answer the questions.

All Khan Academy content is available for free at www.khanacademy.org.

# WHAT IS A POWER?

-6^{2 }≠(-6)^{2} **but** -6^{3} = (-6)^{3 }**Why?**

Video from mathwithmrbarnes on YouTube.

# EXPAND AND SIMPLIFY

*x*-2)

^{2}= (2-

*x*)

^{2}

**but**(

*x*-2)

^{3}≠ (2-

*x*)

^{3}

**Why?**

# Expand a biNomial raised to the 3 power

*x+*2)

^{3}