What are the Rules for Using Absolute Values to Add Integers?

What are the Rules for Using Absolute Values to Add Integers?

Note:

When you're combining numbers, there are some helpful rules to make that process a little easier. This tutorial shows you the rules for using absolute values to combine integers with the same sign or with opposite signs. Take a look!

Keywords:

integers

integer

absolute value

sum

negative sign

positive sign

subtract

add

common sign

rules

same sign

different sign

Background Tutorials

Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

Adding two negative numbers together? Just add the absolute value of each number together, put a negative sign in front, and you have your answer! See how it's done in this tutorial.

Further Exploration

Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.