Add integers

Learning Objectives Identify positive and negative integers. Represent integer addition on a number line. Apply rules for adding two positive integers. Apply rules for adding two negative integers. Apply rules for adding a positive and a negative integer. Calculate the sum of any two integers accurately. Solve simple real-world problems involving integer addition. Ever wonder how to keep track of your money when you spend some and earn some? 💰 Or how to describe temperatures above and below zero? 🌡️ In this lesson, you'll learn how to add positive and negative numbers, called integers. Understanding how to add integers is a fundamental skill that will help you solve many different types of problems in math and in everyday life. Real-World Applications Tracking b...

TermDefinitionExample IntegerA whole number (not a fraction or decimal) that can be positive, negative, or zero.-3, 0, 5 Positive IntegerAn integer greater than zero.1, 2, 3, ... Negative IntegerAn integer less than zero.-1, -2, -3, ... Number LineA line on which numbers are marked at regular intervals, used to visualize operations with integers.A line with 0 in the middle, positive numbers to the right, negative numbers to the left. Absolute ValueThe distance of a number from zero on the number line, always a non-negative value. Represented by vertical bars, e.g., $|-5| = 5$.$|-7| = 7$ and $|7| = 7$ SumThe result of adding two or more numbers.In $3 + 5 = 8$, the sum is 8. Zero PairA positive integer and a negative integer that add up to zero (e.g., 1 and -1).$1 + (-1) = 0$

Adding Two Positive Integers When adding two positive integers, add their absolute values. The sum is always positive. For example, $a + b = |a| + |b|$ if $a, b > 0$. This is like regular addition. You start at a positive number and move further to the right on the number line. Adding Two Negative Integers When adding two negative integers, add their absolute values. The sum is always negative. For example, $(-a) + (-b) = -(|a| + |b|)$ if $a, b > 0$. You start at a negative number and move further to the left on the number line, making the result more negative. Adding a Positive and a Negative Integer When adding a positive and a negative integer, find the difference between their absolute values. The sum takes the sign of the integer with the larger absolute val...