Put integers in order

Learning Objectives Define and identify integers, including positive, negative, and zero. Use a number line to visually represent and compare integers. Apply inequality symbols (<, >, ≤, ≥) to accurately compare pairs of integers. Arrange a given set of integers in both ascending (least to greatest) and descending (greatest to least) order. Evaluate absolute value expressions to compare the magnitude of integers. Solve simple logical problems involving algebraic inequalities to determine the order of integers. Ever seen a leaderboard with scores above and below zero? 🎮 How do you determine who's really winning when negative scores are involved? This tutorial will refresh your understanding of integers and the methods for ordering them. Mastering this fundamental...

TermDefinitionExample IntegerA whole number (not a fraction or decimal) that can be positive, negative, or zero.The set of integers is {..., -3, -2, -1, 0, 1, 2, 3, ...}. Number LineA visual representation of numbers on a straight line, where values increase from left to right.On a number line, -5 is to the left of -2, which visually shows that -5 < -2. Ascending OrderArranging numbers from the smallest value to the largest value.The set {-7, 5, 0, -2} in ascending order is {-7, -2, 0, 5}. Descending OrderArranging numbers from the largest value to the smallest value.The set {-7, 5, 0, -2} in descending order is {5, 0, -2, -7}. Inequality SymbolsSymbols used to compare the relative size of two values.`<` (less than), `>` (greater than), `≤` (less than or equal to), `≥` (greater t...

The Number Line Rule For any two integers `a` and `b` on a horizontal number line, if `a` is to the left of `b`, then `a < b`. If `a` is to the right of `b`, then `a > b`. This is the fundamental principle for visualizing and comparing integers. The further left a number is, the smaller its value. Rule of Negatives For any two positive integers `x` and `y`, if `x < y`, then `-x > -y`. When comparing two negative numbers, the one with the smaller absolute value is actually the larger number. For example, since `4 < 9`, it follows that `-4 > -9`. Transitive Property of Inequality For any integers `a`, `b`, and `c`: If `a < b` and `b < c`, then `a < c`. This property allows you to establish order between three or more integers based on pairwis...