Put integers in order

Learning Objectives Identify positive and negative integers, and zero. Accurately locate integers on a number line. Compare any two integers using the symbols <, >, or =. Order a given set of integers from least to greatest (ascending order). Order a given set of integers from greatest to least (descending order). Apply integer ordering skills to solve real-world problems. Ever wonder how meteorologists know which city is colder 🥶 or how divers track their depth below sea level? 🤔 In this lesson, you'll learn how to compare and arrange integers, which are whole numbers and their opposites. Understanding how to order integers is crucial for interpreting data, solving problems, and making sense of measurements in everyday life. Real-World Applications Compari...

TermDefinitionExample IntegerIntegers are the set of whole numbers and their opposites. This includes positive numbers (1, 2, 3, ...), negative numbers (-1, -2, -3, ...), and zero.The numbers -5, 0, and 12 are all integers. Positive IntegerAn integer that is greater than zero. Positive integers are typically written without a sign or with a '+' sign.7, 25, and 100 are positive integers. Negative IntegerAn integer that is less than zero. Negative integers are always written with a '-' sign.-3, -15, and -50 are negative integers. Number LineA visual representation where integers are placed in order. Zero is at the center, positive integers are to the right, and negative integers are to the left.A number line showing -3, -2, -1, 0, 1, 2, 3 helps visualize the order of num...

Comparing Integers on a Number Line On a number line, numbers increase in value as you move to the right and decrease as you move to the left. To compare two integers, locate them on a number line. The integer further to the right is always greater, and the integer further to the left is always smaller. For example, since 5 is to the right of 2, $5 > 2$. Since -3 is to the left of -1, $-3 < -1$. Comparing Positive, Negative, and Zero Any positive integer is 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 of different signs or with zero. For instance, $10 > -5$ and $0 > -7$, but $0 < 3$. Ordering Negative Integers When comparing two negative...