Add and subtract integers: word problems

Learning Objectives Translate real-world scenarios into mathematical expressions involving integer addition and subtraction. Identify keywords in word problems that indicate addition or subtraction of integers. Accurately add integers with the same and different signs. Accurately subtract integers by converting subtraction to addition of the opposite. Solve multi-step word problems involving both addition and subtraction of integers. Interpret the final integer answer in the context of the original word problem. Ever wonder how temperature changes, bank balances, or even elevator movements involve positive and negative numbers? 🌡️ Let's dive into the world of integers! In this lesson, you'll learn how to tackle word problems that require adding and subtracting int...

TermDefinitionExample IntegerWhole numbers and their opposites (positive numbers, negative numbers, and zero). Integers do not include fractions or decimals.The numbers -5, -2, 0, 3, 10 are all integers. Positive IntegerAn integer greater than zero, often representing gains, increases, rises, or values above a reference point.A gain of 7 yards (+7), a temperature rise of 5 degrees (+5°F). Negative IntegerAn integer less than zero, often representing losses, decreases, drops, or values below a reference point.A loss of $10 (-$10), 20 feet below sea level (-20 feet). Keywords for AdditionWords in a word problem that typically indicate an increase or a positive change, leading to addition.Increase, gain, rise, above, deposit, sum, total, more than. Keywords for SubtractionWords in a word pro...

Adding Integers with the Same Sign Add their absolute values and keep the common sign. This rule applies when both integers are positive or both are negative. For example, if you owe $5 and then owe another $3, you owe a total of $8. Adding Integers with Different Signs Subtract the smaller absolute value from the larger absolute value, and keep the sign of the number with the larger absolute value. This rule applies when one integer is positive and the other is negative. Think of it as combining gains and losses; the net result depends on which was greater. Subtracting Integers To subtract an integer, add its opposite. This is often remembered as 'Keep, Change, Change' (KCC). Change the subtraction sign to an addition sign, and change the sign of the secon...