Integers on number lines

Learning Objectives Identify and plot integers accurately on a number line. Compare and order integers using their positions on a number line. Model addition of integers using movements on a number line. Model subtraction of integers by converting to addition of the opposite on a number line. Determine the absolute value of an integer as its distance from zero on a number line. Solve real-world problems involving integers by representing them on a number line. Ever wonder how we keep track of temperatures above and below zero? 🌡️ Or how a submarine dives below sea level? ⚓ These situations involve integers, and a number line is our best friend for understanding them! In this lesson, you'll explore integers and their representation on a number line, a fundamental tool...

TermDefinitionExample IntegerA whole number (positive, negative, or zero) that can be represented without a fractional or decimal component.-3, 0, 5, -100, 27 are all integers. Number LineA straight line on which numbers are marked at equal intervals, extending infinitely in both positive and negative directions.A line with 0 at the center, 1, 2, 3... to the right, and -1, -2, -3... to the left. OriginThe point on a number line that represents the number zero. It is the reference point for all other numbers.The '0' mark in the exact middle of a standard number line. Positive IntegersIntegers greater than zero, located to the right of the origin on a number line.1, 2, 3, 4, 5... are positive integers. Negative IntegersIntegers less than zero, located to the left of the origin on...

Comparing Integers on a Number Line For any two integers $a$ and $b$, if $a$ is to the right of $b$ on the number line, then $a > b$. If $a$ is to the left of $b$, then $a < b$. This rule helps determine which integer is greater or smaller. The further an integer is to the right, the greater its value. The further an integer is to the left, the smaller its value. Adding a Positive Integer on a Number Line To add a positive integer $b$ to an integer $a$, start at $a$ and move $b$ units to the right on the number line. This rule visualizes addition as movement to the right. For example, $a + b$ where $b > 0$. Adding a Negative Integer on a Number Line To add a negative integer $(-b)$ to an integer $a$, start at $a$ and move $b$ units to the left on the number li...