Demonstrate 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.
Number and Quantity
The Number System: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
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.