Mathematics Grade 6 15 min

Add and subtract decimals: word problems

Add and subtract decimals: word problems

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1

Introduction & Learning Objectives

Learning Objectives Identify keywords in word problems that indicate addition or subtraction of decimals. Translate real-world scenarios into mathematical expressions involving decimal addition or subtraction. Accurately add decimals with different numbers of decimal places. Accurately subtract decimals with different numbers of decimal places. Estimate the sum or difference of decimals to check for reasonableness. Solve multi-step word problems involving adding and subtracting decimals. Ever wonder how much change you'll get back at the store, or how far you've run if you combine two distances? 🏃‍♀️💰 In this lesson, you'll learn how to tackle word problems that involve adding and subtracting decimals. We'll break down tricky problems into simple steps...
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Key Concepts & Vocabulary

TermDefinitionExample DecimalA number that uses a decimal point to show parts of a whole, representing fractions with denominators that are powers of ten.3.14 (three and fourteen hundredths), 0.5 (five tenths) SumThe result obtained when two or more numbers are added together. Keywords often include 'total', 'altogether', 'in all', 'combined'.The sum of 2.5 and 1.3 is 3.8. DifferenceThe result obtained when one number is subtracted from another. Keywords often include 'how much more/less', 'remaining', 'left'.The difference between 5.7 and 2.1 is 3.6. EstimationFinding an approximate value of a number or calculation, often by rounding, to quickly check if an answer is reasonable.Estimating 4.8 + 2.1 as 5 + 2 = 7. Word P...
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Core Formulas

Adding Decimals Rule 1. Line up 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 numbers as you would whole numbers. 4. Place the decimal point in the sum directly below the aligned decimal points. Use this rule when a word problem asks for a total, sum, combined amount, or 'in all'. Subtracting Decimals Rule 1. Line up 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 numbers as you would whole numbers, borrowing if necessary. 4. Place the decimal point in the difference directly below the aligned decimal points. Apply this rule when a word problem asks for the difference, &#03...

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Sample Practice Questions

Challenging
After a transaction, Keisha had $32.80 in her wallet. She had just bought a sandwich for $8.75. How much money did she have before buying the sandwich?
A.$24.05
B.$32.80
C.$41.55
D.$24.15
Challenging
Two packages have a combined weight of 10.5 kg. One package is 2.5 kg heavier than the other. What is the weight of the lighter package?
A.8.0 kg
B.6.5 kg
C.5.25 kg
D.4.0 kg
Easy
In a word problem, which keyword most likely indicates that you need to find a 'sum'?
A.left
B.difference
C.altogether
D.less than

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