Put integers in order

Learning Objectives Define integers, positive integers, and negative integers. Locate integers on a number line. Compare any two integers using the symbols <, >, or =. Order a set of integers from least to greatest (ascending order). Order a set of integers from greatest to least (descending order). Apply the ordering of integers to solve simple real-world problems. Have you ever wondered how we keep track of temperatures above and below zero, or scores in a game that can go into the negatives? 🌡️ In this lesson, you'll learn how to compare and arrange integers, which include positive numbers, negative numbers, and zero. Understanding how to put integers in order is a fundamental skill that helps us make sense of data and solve problems in everyday life. Real-Wo...

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, and 7 are all integers. Positive IntegerAny integer that is greater than zero. These are usually written without a sign or with a '+' sign.5, 12, and 100 are positive integers. Negative IntegerAny integer that is less than zero. These are always written with a '-' sign in front of the number.-3, -8, and -50 are negative integers. Number LineA straight line on which numbers are marked at regular intervals. It helps visualize the order and value of numbers.On a number line, 0 is in the middle, positive numbers are to the right, and negative numbers are to the left. OriginThe point on a number line that represents th...

Number Line Principle Numbers increase in value as you move to the right on a number line, and decrease as you move to the left. If integer $A$ is to the right of integer $B$ on a number line, then $A > B$. If integer $A$ is to the left of integer $B$, then $A < B$. This fundamental rule helps visualize the relative size of integers. The further right a number is, the greater its value; the further left, the smaller its value. Positive vs. Negative Comparison Any positive integer is always greater than any negative integer. Zero is greater than any negative integer, but less than any positive integer. For example, $5 > -10$, and $0 > -7$ but $0 < 3$. This rule provides a quick way to compare integers that span across zero without needing a number line for ever...