# Subtract Rational Numbers (Grade 7)

Videos and lessons to help Grade 7 students learn how to apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

C. 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.

Common Core: 7.NS.1c

### Suggested Learning Targets

• I can explain that subtraction of rational numbers as the additive inverse, p – q = p + (-q).
• I can use a number line to demonstrate that the distance between two numbers is the absolute value of the difference between those numbers. (ex. The distance from 8 and 12 is |8 - 12| = |-4|. The distance from 8 to 12 is 4.)
• I can create real-world context to explain that the distance between two numbers is the absolute value of the difference between those numbers.

Related Topics:

Common Core for Mathematics

Understanding subtraction of rational numbers as adding the additive inverse--1 of 3 (7.NS.1c)
In this lesson, you will learn how to subtract integers by adding the additive inverse.

Understanding subtraction of rational numbers as adding the additive inverse--2 of 3 (7.NS.1c)
In this lesson, you will learn how to find the distance between two points by finding the absolute value of their difference.

Understanding subtraction of rational numbers as adding the additive inverse--3 of 3 (7.NS.1c)
In this lesson you will learn how to subtract rational numbers by using real world contexts.

In this lesson you will learn to rethink a subtraction problem as an addition problem by using the additive inverse.

Subtract decimals using a place value chart - 7.NS.1
In this lesson, you will learn how to subtract decimals using a place value chart.

Add and subtract rational numbers and understand subtraction of rational numbers (7.NS.1c)
In this lesson you will learn to add positive and negative integers by using a number line.

Add and subtract rational numbers and understand subtraction of rational numbers (7.NS.1c)
In this lesson you will learn to subtract integers by using the take away definition of subtraction on a number line.

Add and subtract rational numbers and understand subtraction of rational numbers (7.NS.1c)
In this lesson you will learn to rethink a subtraction problem as an addition problem by using the additive inverse.