Add and subtract decimals: word problems

Learning Objectives Identify key information and operations within word problems involving decimals. Translate real-world scenarios into mathematical expressions for adding or subtracting decimals. Accurately perform addition of decimals with varying numbers of decimal places. Accurately perform subtraction of decimals with varying numbers of decimal places. Solve multi-step word problems that require both addition and subtraction of decimals. Interpret and state the solution of a decimal word problem in its real-world context. Estimate answers to decimal word problems to check for reasonableness. Ever wondered how much change you should get back at the store, or how to calculate your total grocery bill? 💰 Decimals are everywhere in our daily lives! In this lesson, you&#...

TermDefinitionExample DecimalA number that contains a decimal point, representing a part of a whole. It extends the place value system to include tenths, hundredths, thousandths, and so on.3.14 (three and fourteen hundredths), 0.5 (five tenths), $12.75 (twelve dollars and seventy-five cents). Word ProblemA mathematical problem presented in a narrative or story format, requiring you to read carefully, identify the relevant information, and determine the correct operations to solve it.Sarah bought a shirt for $15.75 and a hat for $8.20. How much did she spend in total? Keywords for AdditionWords or phrases in a word problem that typically indicate the need to add numbers together.'total,' 'sum,' 'in all,' 'altogether,' 'combined,' 'incr...

Rule for Adding Decimals 1. Align the decimal points vertically. 2. Add zeros to the end of numbers if needed so all numbers have the same number of decimal places. 3. Add the digits in each column from right to left, carrying over if necessary. 4. Place the decimal point in the sum directly below the aligned decimal points. Use this rule when a word problem asks you to combine quantities, find a total amount, or determine a sum. For example, if you have $A$ and $B$, their sum is $A + B$. Rule for Subtracting Decimals 1. Align the decimal points vertically. 2. Add zeros to the end of numbers if needed so all numbers have the same number of decimal places. 3. Subtract the digits in each column from right to left, borrowing if necessary. 4. Place the decimal point in the differe...