Add and subtract whole numbers: word problems

🎈1. Understanding Word Problems

  • Word Problems: Problems presented in a narrative form that require translating the words into mathematical operations.
  • Purpose: Helps students apply their arithmetic skills to real-world scenarios and improves problem-solving abilities.

🎆2. Steps to Solve Word Problems

  1. Read the Problem Carefully:
    • Identify key information: Look for numbers, keywords, and what the problem is asking.
    • Example: “Sarah has 125 apples and she buys 78 more. How many apples does she have now?”
  2. Determine the Operation Needed:
    • Addition: When combining quantities or finding the total.
      • Keywords: “total,” “in all,” “together,” “combine,” “sum.”
    • Subtraction: When finding the difference or removing part of a quantity.
      • Keywords: “difference,” “how many more,” “how many less,” “left,” “subtract.”
  3. Write an Equation:
    • Translate the word problem into a mathematical equation using the appropriate operation.
    • Example: “Sarah has 125 apples and buys 78 more” translates to 125+78.
  4. Solve the Equation:
    • Perform the arithmetic operation (addition or subtraction) to find the answer.
    • Example: 125+78=203
  5. Check the Answer:
    • Review the problem and the solution to ensure the answer makes sense in the context of the question.
    • Example: After solving 125+78=203, check if 203 apples makes sense given the problem.

🎇3. Types of Word Problems

  1. Addition Word Problems:
    • Example: “Tom has 42 marbles. His friend gives him 37 more marbles. How many marbles does Tom have now?”
    • Solution: 42+37=79
  2. Subtraction Word Problems:
    • Example: “Lily had 89 pencils. She gave 23 pencils to her friend. How many pencils does Lily have left?”
    • Solution: 89−23=66
  3. Mixed Operations:
    • Example: “There are 56 students in a classroom. If 12 students leave and then 15 more students join, how many students are in the classroom now?”
    • Solution: First, subtract 56−12=44, then add 44+15=59.

✨4. Tips for Solving Word Problems

  • Highlight Key Information: Underline or circle important numbers and words in the problem.
  • Break Down the Problem: Divide the problem into smaller, manageable parts if needed.
  • Use Drawings or Models: Visual aids can help illustrate the problem and assist in solving it.
  • Check Units: Ensure that units (e.g., apples, pencils) are consistent and make sense with the answer.

✨5. Practice Problems

  1. Addition Problem:
    • Problem: “Emma has 143 stickers. She buys a pack with 89 more stickers. How many stickers does she have in total?”
    • Solution: 143+89=232
  2. Subtraction Problem:
    • Problem: “A library had 500 books. 176 books were checked out. How many books are left in the library?”
    • Solution: 500−176=324
  3. Mixed Operation Problem:
    • Problem: “At a party, there were 125 balloons. 30 balloons popped, and 15 new balloons were added. How many balloons are there now?”
    • Solution: First, subtract 125−30=95, then add 95+15=110

🎉6. Common Mistakes to Avoid

  • Misreading the Problem: Ensure you understand what is being asked before solving.
  • Incorrect Operations: Use addition or subtraction based on the context of the problem.
  • Forgetting to Check: Always review your solution to make sure it fits the context of the problem.

Word problems on adding of large numbers:

The population of the country in 1990 was 906450600 and the next year it increased by 9889700.

The population of a country in 1990 =                               90,64,50,600

Increased population by next year =                                 +  98,89,700

Total population of that country in 1991 =                          91,63,40,300

Therefore, the population of that country in the year of 1991 is 91,63,40,300.

🔥A chocolate factory usually makes 6,444 chocolates per month. In the month before Valentine’s Day, it makes 6,364 more than that.

​____ chocolates

  • Add the numbers of chocolates.

Add:

  • Add the ones. Add 4 + 4.
  • Add the tens. Add 4 + 6. Remember to carry over.
  • Add the hundreds. Add 1 + 4 + 3.
  • Add the thousands. Add 6 + 6.
  • The sum is 12,808. The factory produces 12,808 chocolates in that month.

🔥A treasure hunter discovered a buried treasure chest. He opened it up and discovered that it contained 4,534 diamonds and 1,083 rubies.

​______ gems

  • Add the number of diamonds and the number of rubies.

Add:

  • Add the ones. Add 4 + 3.
  • Add the tens. Add 3 + 8. Remember to carry over.
  • Add the hundreds. Add 1 + 5 + 0.
  • Add the thousands. Add 4 + 1.
  • The sum is 5,617. There were 5,617 gems in the chest.

Kimi painted her house using 9,308 litres of white paint and 9,035 litres of sea green paint.

​_______ litres

  • Add the numbers of litres.

Add:

9,308 + 9,035 = ___,_____

  • Add the ones. Add 8 + 5. Remember to carry over.
  • Add the tens. Add 1 + 0 + 3.
  • Add the hundreds. Add 3 + 0.
  • Add the thousands. Add 9 + 9.
  • The sum is 18,343. Kimi used 18,343 litres of paint in all.

Let’s practice!