Solved Exercises on Subtraction Word Problem Language in 1st Grade

Master subtraction word problems: key language, problem solving strategies, and visual methods through these 3 detailed exercises.

Solution: Exercises 1 to 3
1 Key words identification
Exercise 1
Read the problem and identify the key word:
"Sarah had 7 stickers. She gave 3 to her friend. How many does she have left?"
Definition:

Key words: Words that signal subtraction operations. Look for words like "left", "gave", "took", "less", "fewer", "remains", etc.

Problem solving method:
  1. Read the problem carefully
  2. Look for key words that suggest subtraction
  3. Identify the numbers involved
  4. Set up the subtraction equation
left
gave
took
less
fewer
remains
away
spent
"Sarah had 7 stickers. She gave 3 to her friend. How many does she have left?"
1
Find the key words: "gave" and "left" indicate subtraction
2
Identify the numbers: Sarah started with 7 stickers, gave away 3
3
Set up the equation: 7 - 3 = ?
4
Solve: 7 - 3 = 4
Step 1: Identify the key word "gave"

"Gave" means she took away stickers, so we subtract

Step 2: Identify the key word "left"

"Left" asks how many remain after taking away

Step 3: Set up the subtraction

Start with 7, subtract 3, find the answer

\(7 - 3 = 4\)
Final answer:

Sarah has 4 stickers left.

Applied rules:

• Key words: "gave" and "left" signal subtraction

• Problem structure: Start amount - taken away = remaining

• Visual method: Use objects to represent the problem

2 Problem solving strategy
Exercise 2
Read the problem and solve:
"There were 9 birds on a branch. 4 flew away. How many birds are still on the branch?"
Definition:

Problem solving strategy: Systematic approach to understand and solve word problems. Look for key words, identify numbers, and set up equations.

"There were 9 birds on a branch. 4 flew away. How many birds are still on the branch?"
1
Find the key phrase: "flew away" indicates subtraction
2
Identify the numbers: Started with 9 birds, 4 flew away
3
Set up the equation: 9 - 4 = ?
4
Solve: 9 - 4 = 5
Step 1: Identify the key phrase "flew away"

"Flew away" means birds left, so we subtract

Step 2: Identify the starting number

We started with 9 birds on the branch

Step 3: Identify the number taken away

4 birds flew away

\(9 - 4 = 5\)
Final answer:

There are 5 birds still on the branch.

Applied rules:

• Key words: "flew away" signals subtraction

• Problem structure: Initial amount - amount removed = final amount

• Visualization: Picture the scenario to understand the problem

3 Mixed operations
Exercise 3
Read the problem and solve:
"Tom had 8 candies. He ate 2 and gave 1 to his sister. How many does he have left?"
Definition:

Mixed operations: Problems that involve multiple subtraction steps. Handle one operation at a time.

"Tom had 8 candies. He ate 2 and gave 1 to his sister. How many does he have left?"
1
Find the key words: "ate" and "gave" indicate subtractions
2
First subtraction: 8 - 2 = 6 (after eating)
3
Second subtraction: 6 - 1 = 5 (after giving)
4
Total: 8 - 2 - 1 = 5
Step 1: Identify all key words

"ate" and "gave" both mean Tom lost candies

Step 2: Handle first action

Start with 8, subtract 2 eaten: 8 - 2 = 6

Step 3: Handle second action

Now subtract 1 given away: 6 - 1 = 5

\(8 - 2 - 1 = 5\)
Final answer:

Tom has 5 candies left.

Applied rules:

• Multiple key words: "ate" and "gave" both require subtraction

• Sequential operations: Solve one subtraction at a time

• Order matters: Apply operations in the sequence described

Key Words and Phrases for Subtraction
\( \text{Key Word} \Rightarrow \text{Subtraction} \)
Language Patterns
Action Words
gave, took, ate, spent
These words mean something was removed
Remaining Words
left, remaining, still
These words ask for what's left after removal
Comparison Words
less, fewer, difference
These words compare amounts by finding differences
left
gave
took
away
lost
sold
used
ate
drank
broke
spilled
borrowed
remaining
still
less
fewer
Word Problem Structure:
  • Starting Amount: The initial number before anything happens
  • Action: Something is taken away (key word indicates subtraction)
  • Question: Asks for what remains after the action
Key Subtraction Language Rules:

• Key words signal operations: Look for specific words that indicate subtraction

• Context matters: Same word may mean different operations in different contexts

• Multiple actions: Some problems have more than one subtraction step

Problem Solving Strategies
\( \text{Read} \rightarrow \text{Identify} \rightarrow \text{Solve} \rightarrow \text{Check} \)
Four-Step Process
Four-step process:

Read: Carefully read the entire problem to understand the situation.

Identify: Find key words and numbers, determine the operation needed.

Solve: Set up the equation and perform the calculation.

Check: Verify that the answer makes sense in the context of the problem.

Detailed problem-solving approach:
  1. Read the problem completely: Understand the story or situation described
  2. Circle key words: Mark words that indicate subtraction operations
  3. Underline numbers: Identify all relevant numbers in the problem
  4. Determine the question: What is the problem asking you to find?
  5. Draw a picture: Visualize the problem if helpful
  6. Write the equation: Convert the word problem to a mathematical expression
  7. Solve: Calculate the answer
  8. Check: Make sure your answer fits the context of the problem
Tip 1: Look for action words like "gave", "took", "ate" to identify subtraction.
Tip 2: Questions asking "how many are left?" usually require subtraction.
Tip 3: Draw pictures to help visualize the problem.
Tip 4: Check your answer by adding it back to the subtracted amount.
Common errors: Misreading key words, subtracting in the wrong direction, forgetting to identify all numbers in multi-step problems.
Success strategies: Circle key words, underline numbers, draw pictures, check answers.
Problem-solving concepts to remember:

• Subtraction means taking away or finding the difference

• Always check if your answer makes sense in the story

• Some problems have multiple steps requiring several operations

• Words like "altogether" or "total" might be misleading in subtraction problems

Detailed Summary: Subtraction Word Problem Language
Complete Learning Guide
Definition of Subtraction Word Problems: Word problems that require subtraction to solve. They present real-life situations where quantities are reduced or compared, expressed through language rather than pure numbers.
Key Terms:
  • Key Words: Words that signal which mathematical operation to use (e.g., "left", "gave", "taken")
  • Problem Structure: The organization of information in a word problem (starting amount, action, question)
  • Multi-step Problems: Problems that require more than one operation to solve
Core Rules of Word Problem Language:
  • Key Word Recognition: Certain words consistently indicate subtraction (left, gave, took, away, etc.)
  • Context Clues: The situation described helps determine the operation needed
  • Question Analysis: Understanding what is being asked determines the setup
  • Sequential Operations: Multi-step problems require operations in the order presented
Step-by-Step Method:
  1. Read the entire problem carefully
  2. Identify key words that signal subtraction
  3. Circle or underline important numbers
  4. Determine what the question is asking
  5. Draw a picture or model if helpful
  6. Write the subtraction equation
  7. Solve the equation
  8. Check if the answer makes sense in the context
Key Words for Subtraction:
  • Action words: gave, took, ate, spent, used, lost, sold, borrowed
  • Remaining words: left, remaining, still, stayed, kept
  • Comparison words: less, fewer, difference, shorter, smaller
  • Change words: decreased, reduced, dropped, fell
Examples (Simple to Advanced):
  • Simple: "I had 5 apples and ate 2. How many are left?" (5 - 2 = 3)
  • Medium: "There were 8 cars in the parking lot. 3 drove away. How many remain?" (8 - 3 = 5)
  • Advanced: "Sarah had 10 stickers. She gave 2 to Mike and 3 to Jane. How many does she have left?" (10 - 2 - 3 = 5)
Tips and Tricks:
  • Create a personal list of subtraction key words to remember
  • Always reread the problem after solving to check your answer
  • Draw simple pictures to visualize the problem situation
  • Check your answer by adding it back to the subtracted amount
  • Pay attention to the order of operations in multi-step problems
Common Pitfalls:
  • Misidentifying key words and using the wrong operation
  • Forgetting to consider all parts of multi-step problems
  • Subtracting in the wrong direction (smaller from larger)
  • Not checking if the answer makes sense in the context
Memory Aids:
  • "Subtraction words often describe things going away!"
  • "Look for words about giving, taking, losing, or spending!"
  • "Questions about 'how many left' usually mean subtract!"
  • Practice with real-life scenarios to build understanding
Checking Your Work: Always verify your answer makes sense in the story. For example, if you started with 7 items and some were taken away, your answer should be less than 7.

Questions & Answers

Question: I see words like "left" and "gave" in word problems, but sometimes I get confused about whether to add or subtract. How do I know for sure?

Answer: Great question! Words like "left" and "gave" almost always mean subtraction, but here's how to be sure:

  • Think about the action: "Gave" means someone took something away from you, so you have less. "Left" means what remains after something is taken away.
  • Picture the situation: If someone gives away toys, they have fewer toys. If birds fly away, there are fewer birds.
  • Test with numbers: If you had 5 apples and "gave 2", you'd have fewer than 5, so subtract: 5 - 2 = 3.
  • Look for context clues: If the question asks "how many are left?", it's asking for what remains after taking away.

Remember: subtraction words describe things going away or being taken, which results in having less than you started with!

Words that typically mean subtraction: gave, took, ate, spent, lost, left, remaining, away, fewer, less.

Question: What if a word problem has more than one thing happening, like someone loses some and then gives some away? How do I solve that?

Answer: These are called multi-step problems, and you handle them one step at a time! Here's how:

  • Read the whole problem first to understand the entire situation
  • Find the first action and solve it (e.g., if someone starts with 8 and loses 3, first calculate 8 - 3 = 5)
  • Use that result as the starting point for the next action
  • Continue for each action in the order they happen
  • Check your work to make sure each step makes sense

Example: "Maya had 10 stickers. She lost 2 and then gave 3 to her friend. How many does she have left?"

Step 1: 10 - 2 = 8 (after losing 2)

Step 2: 8 - 3 = 5 (after giving 3 away)

So Maya has 5 stickers left!

Question: How do I know if my answer makes sense for the word problem? Sometimes I get the math right but the story doesn't seem right.

Answer: Checking if your answer makes sense is a crucial skill! Here are ways to verify:

  • Re-read the problem with your answer: Does it fit the story?
  • Estimate first: Before calculating, guess if your answer should be much smaller, slightly smaller, or about the same as the starting number.
  • Use the opposite operation: If you subtracted, add your answer back to see if you get the original number.
  • Pictorial check: Draw a quick sketch to see if your answer matches the visual.

Example: Problem says "Sam had 6 cookies and ate 2. How many left?"

If you calculated 6 - 2 = 4, check: Should Sam have fewer cookies than he started with? Yes! Does 4 seem reasonable? Yes!

If you got an answer like 8, that wouldn't make sense because Sam can't have more cookies after eating some!