Addition word problem: Finding the total when combining two or more quantities
- Identify the numbers involved: 12 and 7
- Recognize the operation needed: addition (combining quantities)
- Add the numbers together
Sarah starts with 12 stickers
Her friend gives her 7 more stickers
Keywords: "more", "now" indicate addition
12 + 7 = 19
Sarah has 19 stickers now
Sarah has 19 stickers now
• Keyword identification: Look for words indicating addition
• Operation selection: Choose addition for combining quantities
• Calculation: Add the numbers together
Subtraction word problem: Finding what remains after taking away a quantity
Tom started with 25 marbles
He gave away 9 marbles
Keywords: "gave", "left" indicate subtraction
25 - 9 = 16
Tom has 16 marbles left
Tom has 16 marbles left
• Keyword identification: Look for words indicating subtraction
• Operation selection: Choose subtraction for taking away
• Calculation: Subtract the smaller number from the larger
Addition word problem: Finding the total when combining different groups
There are 14 red apples
There are 8 green apples
Keywords: "total" indicates addition
14 + 8 = 22
There are 22 apples in total
There are 22 apples in total
• Keyword identification: Look for words indicating addition
• Operation selection: Choose addition for combining groups
• Calculation: Add the numbers together
Subtraction word problem: Finding what remains after giving away part of a collection
Emma started with 32 seashells
She gave away 15 seashells
Keywords: "gave", "now" indicate subtraction
32 - 15 = 17
Emma has 17 seashells now
Emma has 17 seashells now
• Keyword identification: Look for words indicating subtraction
• Operation selection: Choose subtraction for giving away
• Calculation: Subtract the given amount from the total
Addition word problem: Finding the total when combining amounts over time
Jake read 18 pages on Monday
He read 14 pages on Tuesday
Keywords: "total" indicates addition
18 + 14 = 32
Jake read 32 pages in total
Jake read 32 pages in total
• Keyword identification: Look for words indicating addition
• Operation selection: Choose addition for combining amounts
• Calculation: Add the numbers together
Learning to recognize keywords helps determine which operation to use in word problems.
- Addition: combining, total, altogether
- Subtraction: taking away, difference, remaining
Word problem: A mathematical question presented in narrative form
One-step problem: A problem requiring only one mathematical operation to solve
Keywords: Words that indicate which mathematical operation to use
- Read carefully: Understand the situation described
- Identify information: Find numbers and important details
- Look for keywords: Determine the required operation
- Set up equation: Write the mathematical expression
- Solve: Calculate the answer
- Check: Verify the answer makes sense
• Addition: combines quantities ("more", "total", "altogether")
• Subtraction: finds difference or remaining ("less", "left", "fewer")
Addition and Subtraction Word Problems
Questions & Answers
Question: How do I know whether to add or subtract in a word problem? Sometimes the keywords are confusing.
Answer: Focus on the action described in the problem:
- For addition: Something is being added, combined, or increased
- For subtraction: Something is being taken away, compared, or decreased
Examples:
- "Sarah has 5 apples and gets 3 more" → Addition (5 + 3)
- "Tom had 10 marbles and lost 4" → Subtraction (10 - 4)
- "How many more apples does Sarah have than Tom?" → Subtraction (comparison)
Always think about whether the total is getting bigger (addition) or smaller (subtraction).
Question: What should I do if I'm not sure which operation to use in a word problem?
Answer: Try these strategies:
- Draw a picture: Visualize what's happening in the problem
- Act it out: Use objects or gestures to represent the situation
- Think about the story: Is something being added or taken away?
- Try both: See which answer makes more sense in the context
Remember, addition makes numbers bigger and subtraction makes them smaller.
Question: How can I check if my answer to an addition or subtraction word problem is reasonable?
Answer: There are several ways to verify your answer:
- Estimate: Round numbers and do a quick mental calculation
- Re-read: Check if your answer fits the story in the problem
- Reverse operation: If you added, subtract to check; if you subtracted, add to check
For example, if you found that Sarah has 20 apples after starting with 12 and getting 8 more, check: 12 + 8 = 20 ✓
Always ask yourself: "Does this answer make sense in the context of the problem?"
Complete Summary: One Step Word Problems with Addition and Subtraction
Word Problem: A mathematical question presented in narrative form using everyday situations.
One-Step Problem: A problem that requires only one mathematical operation (addition or subtraction) to solve.
Keywords: Words that indicate which mathematical operation to use (e.g., "more" suggests addition, "left" suggests subtraction).
Operations: Addition (+) and subtraction (-) used to solve mathematical problems.
Addition: The process of combining two or more quantities to find a total.
Subtraction: The process of taking away one quantity from another to find the difference or remaining amount.
Addition: Used when combining quantities, finding totals, or increasing amounts. Keywords: more, total, altogether, sum, increase.
Subtraction: Used when taking away, finding differences, or determining what remains. Keywords: less, fewer, left, difference, decrease.
Problem-Solving Process: Read the problem, identify important information, determine the operation, set up the equation, solve, and check your answer.
Reasonableness Check: Always verify that your answer makes sense in the context of the problem.
- Read Carefully: Understand the situation described in the problem.
- Identify Information: Find numbers and important details.
- Look for Keywords: Determine which operation to use based on clue words.
- Set Up Equation: Write the mathematical expression that represents the problem.
- Solve: Calculate the answer using the appropriate operation.
- Check: Verify that your answer makes sense in the context of the problem.
Simple Addition: "Tom has 3 apples. He gets 2 more. How many does he have?" (3 + 2 = 5)
Simple Subtraction: "Sarah has 8 cookies. She eats 3. How many are left?" (8 - 3 = 5)
Intermediate Addition: "There are 14 red cars and 9 blue cars. How many cars total?" (14 + 9 = 23)
Intermediate Subtraction: "Jake had 27 marbles. He lost 12. How many does he have left?" (27 - 12 = 15)
Advanced Comparison: "Emma read 35 pages. Tom read 28 pages. How many more did Emma read?" (35 - 28 = 7)
Tips: Draw pictures to visualize the problem; underline important numbers; circle keywords; estimate your answer first.
Tricks: Remember that "more than" often means subtraction for comparison problems; "in all" usually means addition.
Common Pitfalls: Choosing the wrong operation due to misreading keywords; forgetting to include units in your answer; not checking if the answer makes sense.
Memory Aid: "AS" - Addition, Subtraction. Think of the action: Adding or Taking away.
Checking Strategy: Always verify by performing the reverse operation.
Addition Keywords: more, total, altogether, sum, combined, increased by, in all.
Subtraction Keywords: less, fewer, left, difference, decrease, take away, how many more, how many fewer.
Always Remember: Write your final answer in a complete sentence that addresses the question asked.
Visual Representation: Use drawings or manipulatives to model the problem situation.
Estimation Strategy: Round numbers to check if your answer is reasonable.