Integers on number lines

Learning Objectives Identify and define integers, including positive integers, negative integers, and zero. Accurately represent any given integer on a number line. Compare two or more integers using their positions on a number line. Order a set of integers from least to greatest or greatest to least using a number line. Model addition of integers using movements on a number line. Model subtraction of integers using movements on a number line. Identify opposite integers and their relationship on a number line. Have you ever wondered how we describe temperatures below freezing or depths below sea level? 🌡️🌊 Today, we'll learn about special numbers called integers that help us do just that! In this lesson, you will explore integers and how they are represented on a nu...

TermDefinitionExample IntegerIntegers are whole numbers and their opposites. They include positive whole numbers (1, 2, 3, ...), negative whole numbers (-1, -2, -3, ...), and zero (0).The numbers -5, 0, 12, and -100 are all integers. Fractions like 1/2 or decimals like 3.5 are not integers. Number LineA number line is a straight line with numbers placed at equal intervals or segments along its length. It helps us visualize the order and value of numbers.A line with 0 at the center, positive numbers extending to the right, and negative numbers extending to the left. Positive IntegerA positive integer is any integer greater than zero. They are located to the right of zero on a number line.7, 25, 100. Sometimes a '+' sign is used (e.g., +7), but usually, no sign means it's pos...

Representing Integers on a Number Line Positive integers are located to the right of zero. Negative integers are located to the left of zero. Zero is at the center. To place an integer on a number line, start at the origin (0). Move to the right for positive integers and to the left for negative integers, counting the number of units equal to the integer's absolute value. Comparing Integers on a Number Line For any two integers, the integer located further to the right on the number line is always greater. The integer located further to the left is always smaller. To compare two integers $a$ and $b$: if $a$ is to the right of $b$, then $a > b$. If $a$ is to the left of $b$, then $a < b$. Adding Integers on a Number Line To add a positive integer, move to the...