Add, subtract, multiply, or divide two integers

Learning Objectives Define integers and identify their properties. Accurately add two integers, regardless of their signs. Accurately subtract two integers by applying the 'add the opposite' rule. Accurately multiply two integers, correctly determining the sign of the product. Accurately divide two integers, correctly determining the sign of the quotient. Apply integer operations to solve real-world problems involving quantities and measurements. Ever wonder how meteorologists calculate temperature changes 🌡️ or how engineers track elevation differences? These real-world scenarios often rely on understanding how to work with positive and negative numbers! In this lesson, you'll learn the fundamental rules for adding, subtracting, multiplying, and dividing any...

TermDefinitionExample IntegerA whole number (not a fraction) that can be positive, negative, or zero. Integers include numbers like -3, -2, -1, 0, 1, 2, 3, and so on.The set of integers is denoted by $\mathbb{Z} = \{..., -3, -2, -1, 0, 1, 2, 3, ...\}$. Positive IntegerAn integer greater than zero. These are typically represented without a sign or with a '+' sign.5, 12, 100 are all positive integers. A temperature of 10°C above zero. Negative IntegerAn integer less than zero. These are always represented with a '-' sign.-7, -25, -500 are all negative integers. A debt of $20 can be represented as -$20. Absolute ValueThe distance of a number from zero on the number line, always expressed as a non-negative value. It is denoted by vertical bars around the number.$| -5 | = 5...

Adding Integers 1. If signs are the same: Add their absolute values and keep the common sign. 2. If signs are different: Subtract the smaller absolute value from the larger absolute value, and keep the sign of the number with the larger absolute value. This rule helps determine both the magnitude and the sign of the sum of two integers. For example, $5 + 3 = 8$ and $-5 + (-3) = -8$. For different signs, $5 + (-3) = 2$ and $-5 + 3 = -2$. Subtracting Integers $a - b = a + (-b)$ To subtract an integer, add its opposite. This converts every subtraction problem into an addition problem, allowing you to use the rules for adding integers. For example, $7 - (-4)$ becomes $7 + 4 = 11$. Multiplying or Dividing Integers 1. If signs are the same: The result is positive. 2. If si...