Compare and order integers

Learning Objectives Identify and locate integers on a number line. Compare any two integers using the inequality symbols (<, >, =). Order a given set of integers from least to greatest and greatest to least. Explain the relationship between an integer's position on a number line and its value. Apply the concepts of comparing and ordering integers to solve real-world problems. Understand how absolute value relates to the distance of an integer from zero. Ever wondered how we compare temperatures like -5°C and 10°C, or depths like -200 feet and -50 feet? 🌡️ In math, understanding how to compare and order integers is crucial for making sense of these real-world situations! In this lesson, you will learn the fundamental rules for comparing and ordering integers, incl...

TermDefinitionExample IntegerA whole number (not a fraction or decimal) that can be positive, negative, or zero. Examples include -3, 0, 5.The numbers -2, 0, 7, and -100 are all integers. 1/2 and 3.5 are not. Number LineA straight line on which every point corresponds to a real number, with zero at the center, positive numbers to the right, and negative numbers to the left.On a number line, -3 is to the left of 0, and 5 is to the right of 0. Positive IntegerAn integer greater than zero. These are located to the right of zero on a number line.1, 5, 100 are all positive integers. Negative IntegerAn integer less than zero. These are located to the left of zero on a number line.-1, -5, -100 are all negative integers. ZeroThe integer that is neither positive nor negative. It is the origin poin...

Comparing Integers on a Number Line If an integer $a$ is to the right of an integer $b$ on a number line, then $a > b$. If an integer $a$ is to the left of an integer $b$, then $a < b$. This rule provides a visual way to compare integers. The further right a number is, the greater its value. The further left, the smaller its value. Comparing Positive and Negative Integers Any positive integer is always greater than any negative integer. Zero is greater than any negative integer but less than any positive integer. This is a fundamental rule for comparing integers with different signs. Positive numbers always 'win' against negative numbers. Comparing Two Negative Integers For any two negative integers, the integer with the smaller absolute value is the gr...