An integer number line represents zero as the reference point, with positive integers equally spaced to the right and negative integers equally spaced to the left; each integer has an opposite located the same distance from zero. This understanding supports ordering and comparing integers, interpreting absolute value as distance from zero, and locating values in relation to one another, without extending to fractions, decimals, or coordinate-plane applications.
Detailed Explanation: Represent integers on a number line
An integer number line uses 0 as the reference point.
Positive integers are placed equal distances to the right of 0.
Negative integers are placed equal distances to the left of 0.
Each step represents 1 unit.
Opposite integers are the same distance from 0 but on opposite sides.
Example: Represent −4 and find its opposite.
Start at 0.
Because −4 is negative, move left.
Count four equal steps: −1, −2, −3, −4.
Mark the point at −4.
left−4−3−2−101234right
The opposite of −4 is 4 because −4 and 4 are both four units from 0, but they are on opposite sides. Thus, −4 is represented four units left of 0, and its opposite, 4, is four units right of 0.
Learn by doing: Represent integers on a number line
Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill
Practice with unlimited practice problems
Practice:
Number Line - Positive Integers, Select Dot - From Ticks