The number $5$5 is plotted on the number line below.
Find the value of $5+9$5+9.
The number $-3$−3 is plotted on the number line below.
Find the value of $-3+8$−3+8.
The number $-6$−6 is plotted on the number line below.
Find the value of $-6+3$−6+3.
The number $-7$−7 is plotted on the number line below.
Find the value of $-7+7$−7+7.
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.
Describe situations in which opposite quantities combine to make 0.
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.
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.