Inequalities with decimal addition and subtraction

Learning Objectives Identify and correctly use inequality symbols (<, >, ≤, ≥). Accurately add and subtract decimal numbers. Compare two decimal numbers using inequality symbols. Solve one-step inequalities involving decimal addition. Solve one-step inequalities involving decimal subtraction. Apply properties of inequalities when adding or subtracting decimals. Translate simple real-world scenarios into inequalities involving decimal operations. Ever wonder if you have enough money to buy two items, or if a recipe needs 'at least' a certain amount of an ingredient? 🤔 In this lesson, you'll learn how to compare quantities using inequalities, especially when those quantities involve decimals that you need to add or subtract. This skill helps you make s...

TermDefinitionExample InequalityA mathematical statement that compares two expressions that are not necessarily equal, using symbols like <, >, ≤, or ≥.3.5 < 4.2 (3.5 is less than 4.2) Inequality SymbolsSpecial symbols used to show the relationship between two values or expressions.< (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to) DecimalA number that uses a decimal point to represent a part of a whole, where digits to the right of the decimal point represent fractions with denominators of 10, 100, 1000, and so on.0.75 (seventy-five hundredths), 12.3 (twelve and three tenths) Addition of DecimalsThe process of combining two or more decimal numbers to find their sum. It requires aligning the decimal points.1.2 + 0.5 = 1.7 Subtraction of...

Rule for Adding/Subtracting Decimals To add or subtract decimals, line up the decimal points, then add or subtract the numbers as you would with whole numbers. Place the decimal point in the answer directly below the decimal points in the problem. This rule ensures that you are adding or subtracting digits of the same place value (tenths with tenths, hundredths with hundredths, etc.), which is crucial for getting the correct sum or difference before comparing in an inequality. Inequality Property of Addition and Subtraction If you add the same number to both sides of an inequality, or subtract the same number from both sides of an inequality, the inequality symbol remains the same (does not flip). Mathematically: If $a < b$, then $a + c < b + c$. If $a < b$, then...