Compare and order integers

Learning Objectives Identify and distinguish between positive and negative integers. Accurately locate integers on a number line. Use inequality symbols (<, >, =) to correctly compare any two integers. Order a set of three or more integers from least to greatest and greatest to least. Explain the concept of absolute value in the context of comparing integers. Solve real-world problems that require comparing and ordering integers. Ever wondered if -5 degrees Celsius is colder than -2 degrees Celsius? 🥶 Or who has more money, someone with a balance of -$20 or -$5? 💰 In this lesson, you'll learn how to compare and order integers, which are whole numbers and their opposites. Understanding how to compare these numbers is crucial for making sense of temperatures, fin...

TermDefinitionExample IntegerA whole number (not a fraction or decimal) that can be positive, negative, or zero. Integers include numbers like ..., -3, -2, -1, 0, 1, 2, 3, ...-7, 0, 15 Positive IntegerAn integer greater than zero. These are usually written without a sign or with a '+' sign.3, 10, +25 Negative IntegerAn integer less than zero. These are always written with a '-' sign.-1, -12, -100 Number LineA line on which numbers are marked at regular intervals. It's a visual tool used to represent and compare numbers.A line with 0 in the center, positive numbers to the right, and negative numbers to the left. Inequality SymbolsSymbols used to show that two values are not equal. '<' means 'less than', '>' means 'greater th...

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 $b$ on the number line, then $a < b$. This is the most fundamental rule. Numbers increase in value as you move to the right on a number line and decrease as you move to the left. 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 rule simplifies comparisons between integers with different signs. For example, $5 > -100$ and $0 > -7$ but $0 < 3$. Comparing Two Negative Integers When comparing two negative integers, the integer with the smaller absolute value is th...