Compare and order integers

Learning Objectives Define integers and identify positive and negative integers. Locate integers on a number line. Compare any two integers using inequality symbols (<, >, =). Order a set of integers from least to greatest. Order a set of integers from greatest to least. Apply the concept of comparing integers to real-world scenarios. Ever wonder if -5 degrees Celsius is colder than -2 degrees Celsius? 🥶 Or who has more money, someone with $10 or someone who owes $5? 🤔 In this lesson, you'll learn all about integers, which include positive numbers, negative numbers, and zero. We'll discover how to compare their values and arrange them in order, skills essential for understanding many real-world situations. Real-World Applications Comparing temperatures...

TermDefinitionExample IntegerA whole number (not a fraction or decimal) that can be positive, negative, or zero.The numbers -3, 0, 5, -100 are all integers. Positive IntegerAn integer that is greater than zero. These are usually written without a plus sign.1, 7, 25, 100 are all positive integers. Negative IntegerAn integer that is less than zero. These are always written with a minus sign in front.-1, -7, -25, -100 are all negative integers. Number LineA line on which numbers are marked at regular intervals, used to visualize and compare numbers.A line with 0 in the middle, positive numbers to the right (1, 2, 3...), and negative numbers to the left (-1, -2, -3...). OppositesTwo numbers that are the same distance from zero on a number line but in opposite directions.5 and -5 are opposites...

Comparing Integers on a Number Line On a number line, numbers to the right are always greater than numbers to the left. To compare two integers, locate them on a number line. The integer positioned further to the right has a greater value. This rule applies consistently to positive, negative, and zero. Comparing Positive and Negative Integers with Zero 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 provides a quick way to compare integers with different signs. For example, $10 > -100$ because positive numbers are always greater than negative numbers. Also, $0 > -5$ and $0 < 3$. Comparing Negative Integers For two negative integers, the one closer to zero...