Compare integers

Learning Objectives Define integers, positive integers, and negative integers. Locate and plot integers on a number line. Use the symbols '>' (greater than), '<' (less than), and '=' (equal to) to compare any two integers. Compare positive and negative integers accurately. Compare two negative integers correctly. Order a set of three or more integers from least to greatest or greatest to least. Explain the relationship between an integer's position on the number line and its value. Have you ever wondered if -5 degrees Celsius is warmer or colder than -2 degrees Celsius? 🥶 Understanding how to compare numbers, especially negative ones, helps us make sense of temperatures, money, and even game scores! In this lesson, you'll lea...

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, 7, and -100 are all integers. Positive IntegerAn integer that is greater than zero. These are usually written without a sign or with a '+' sign.5, 12, 1, 1000 are all positive integers. Negative IntegerAn integer that is less than zero. These are always written with a '-' sign in front of them.-3, -8, -1, -50 are all negative integers. Number LineA straight line on which every point corresponds to a real number. It's a visual tool to understand the order and value of numbers.On a number line, numbers increase as you move to the right and decrease as you move to the left. Greater Than (>)A mathematical symb...

Comparing Positive Integers For any two positive integers, the integer that is further from zero on the number line (to the right) is greater. For example, if $a > 0$ and $b > 0$, then $a > b$ if $a$ is to the right of $b$. This is just like comparing whole numbers you already know. The bigger the number, the greater its value. Comparing Negative Integers For any two negative integers, the integer that is closer to zero on the number line (to the right) is greater. For example, if $a < 0$ and $b < 0$, then $a > b$ if $a$ is to the right of $b$. This can be tricky! Think of debt: owing $2 is better than owing $5, so $-2 > -5$. The smaller the negative number looks, the greater its value. Comparing Positive and Negative Integers Any positive integer...