Arithmetic and pre-algebra
Practice this topic
Negative numbers and absolute value
Extending our understanding of numbers below 0. Thinking about "absolute" distance from 0.
Negative number basics
What is a "negative number"? What happens when I add or subtract one of these?
If you come to this tutorial armed with the basics of adding an subtracting numbers, you'll learn about what happens in the world below zero! You will learn what negative numbers are and how we can add and subtract them.
Adding and subtracting negative numbers
You understand that negative numbers represent how far we are "below zero". Now you are ready to add and subtract them! In this tutorial, we will explain, give examples, and give practice adding and subtracting negative numbers.
This is a super-important concept for the rest of your mathematical career so, no pressure, learn it as well as you can!
- Negative Numbers Introduction
- Example: Adding negative numbers
- Example: Adding integers with different signs
- Adding negative numbers
- Why Subtracting a Negative Equivalent to Adding a Positive
- Adding and subtracting negative numbers
- Adding decimals of different signs word problem
- Adding/Subtracting negative numbers
Multiplying and dividing negative numbers
It is starting to dawn on you that negative numbers are incredibly awesome. So awesome that you are feeling embarrassed to think how excited you are about them!
Well, the journey is just beginning. In this tutorial we will think about multiplying and dividing numbers throughout the number line!
- Multiplying Positive and Negative Numbers
- Why a Negative Times a Negative is a Positive
- Why a Negative Times a Negative Makes Intuitive Sense
- Dividing Positive and Negative Numbers
- Example: Multiplying numbers with different signs
- Multiplying and dividing negative numbers
- Negative number word problems
- Multiplying and dividing negative numbers
Absolute value
You'll find absolute value absolutely straightforward--it is just the "distance from zero". If you have a positive number, it is its own absolute value. If you have a negative number, just make it positive to get the absolute value.
As you see as you develop mathematically, this idea will eventually extended to more contexts and dimensions, so super important that you understand this core concept now.