Solved Exercises on Word Problems That Equal 100 in Grade 2

Master word problems that equal 100: addition and subtraction word problems with sums and differences equal to 100 through these 5 detailed exercises.

Solution: Exercises 1 to 3
1 Addition word problem equal to 100
Exercise 1
Sarah has 45 stickers. Her friend gives her some more stickers. Now Sarah has 100 stickers. How many stickers did her friend give her?
Definition:

Word problem that equals 100: A word problem where the final answer is 100 or where 100 is one of the given values

Word problem solving method:
  1. Read the problem carefully
  2. Identify the known and unknown values
  3. Determine the operation needed
  4. Set up the equation
  5. Solve the equation
  6. Verify the answer equals 100
Problem
45 + ? = 100
Setup
Sarah's stickers + Friend's stickers = 100
Result
55
Step 1: Read and understand the problem

Sarah starts with 45 stickers

Her friend gives her some more stickers

Sarah ends with 100 stickers

We need to find how many stickers her friend gave

Step 2: Identify known and unknown values

Known: Sarah started with 45 stickers

Known: Sarah ended with 100 stickers

Unknown: How many stickers her friend gave

Step 3: Set up the equation

45 + ? = 100

To find ?, we subtract: 100 - 45 = ?

Step 4: Solve the equation

100 - 45 = 55

Step 5: Verify the answer

45 + 55 = 100 ✓

Step 6: Write the answer in context

Her friend gave her 55 stickers.

Her friend gave her 55 stickers.
Final answer:

Her friend gave her 55 stickers.

Applied rules:

• Missing addend: When you know the sum and one addend, subtract to find the missing addend

• Verification: Always check that your answer makes the equation true

• Context: Always answer in the context of the problem

Word Problem Equal to 100
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Given Information

Sarah started with: 45 stickers

Sarah ended with: 100 stickers

Unknown: Friend's stickers

Equation Setup

45 + ? = 100

? = 100 - 45

? = 55

Verification

45 + 55 = 100 ✓

Answer is correct!

2 Subtraction word problem equal to 100
Exercise 2
A school has 100 books in the library. Some books were borrowed by students. Now there are 38 books left. How many books were borrowed?
Definition:

Subtraction word problem equal to 100: A word problem where 100 is the starting amount and subtraction is used to find the difference

Problem
100 - ? = 38
Setup
Total books - Borrowed books = Remaining books
Result
62
Step 1: Read and understand the problem

The library started with 100 books

Some books were borrowed (unknown amount)

Now there are 38 books left

We need to find how many books were borrowed

Step 2: Identify known and unknown values

Known: Started with 100 books

Known: 38 books left

Unknown: How many books were borrowed

Step 3: Set up the equation

100 - ? = 38

To find ?, we subtract: 100 - 38 = ?

Step 4: Solve the equation

100 - 38 = 62

Step 5: Verify the answer

100 - 62 = 38 ✓

Step 6: Write the answer in context

62 books were borrowed.

62 books were borrowed.
Final answer:

62 books were borrowed.

Applied rules:

• Missing subtrahend: When you know the minuend and difference, subtract to find the subtrahend

• Verification: Always check that your answer makes the equation true

• Context: Always answer in the context of the problem

Subtraction Problem Equal to 100
📊
Given Information

Started with: 100 books

Left: 38 books

Unknown: Borrowed books

Equation Setup

100 - ? = 38

? = 100 - 38

? = 62

Verification

100 - 62 = 38 ✓

Answer is correct!

3 Addition word problem that equals 100
Exercise 3
Tom collected 36 seashells on Monday and 64 more seashells on Tuesday. How many seashells did Tom collect in total?
Definition:

Addition word problem that equals 100: A word problem where adding the given amounts results in 100

Problem
36 + 64
Setup
Monday's seashells + Tuesday's seashells
Result
100
Step 1: Read and understand the problem

Tom collected 36 seashells on Monday

Tom collected 64 seashells on Tuesday

We need to find the total number of seashells

Step 2: Identify the numbers

Monday: 36 seashells

Tuesday: 64 seashells

Step 3: Determine the operation

Since Tom collected seashells on both days, we add them together

Equation: 36 + 64 = ?

Step 4: Solve the equation

36 + 64 = 100

Step 5: Verify the answer

36 + 64 = 100 ✓

Step 6: Write the answer in context

Tom collected 100 seashells in total.

Tom collected 100 seashells in total.
Final answer:

Tom collected 100 seashells in total.

Applied rules:

• Addition: When combining amounts, add them together

• Verification: Always check that your answer makes sense

• Context: Always answer in the context of the problem

Addition Problem Equal to 100
📊
Given Information

Monday: 36 seashells

Tuesday: 64 seashells

Operation

Keywords: "collected", "total"

Operation: Addition

Equation: 36 + 64

Final Answer

36 + 64 = 100

Tom collected 100 seashells

Complete Summary: Word Problems That Equal 100
A + B = 100
Word Problem Structure Equal to 100
Key definitions:

Word problem equal to 100: A real-life situation described in words where the final answer or one of the given values is 100

Missing addend: When you know the sum (100) and one addend, find the missing addend by subtracting

Missing subtrahend: When you know the minuend (100) and the difference, find the subtrahend by subtracting

Verification: Checking that your answer makes the equation true

Complete methodology:
  1. Read carefully: Understand the situation described
  2. Identify values: Find all the numbers mentioned
  3. Determine operation: Decide if you need addition or subtraction
  4. Find unknown: Determine what value is missing
  5. Set up equation: Write the mathematical expression
  6. Solve: Calculate the answer
  7. Verify: Check that the answer equals 100 when appropriate
  8. Answer in context: Write the answer in relation to the original problem
Tip 1: When you see 100 in a problem, think about what pairs of numbers add to 100.
Tip 2: If the final answer needs to be 100, check your work by adding to see if it equals 100.
Tip 3: Remember that 100 = 10 tens, which can help with mental math.
Tip 4: Draw pictures or use objects to visualize the problem.
Tip 5: Always answer in complete sentences that match the question.
Common errors: Misreading numbers, using wrong operation, not verifying the answer equals 100.
Key concepts: Missing addend/subtrahend, verification, context matters.
Memorization tips: "Pairs that make 100: 10 + 90, 20 + 80, 25 + 75, 30 + 70, 40 + 60, 50 + 50!"
Essential rules to remember:

• Missing addend: If A + ? = 100, then ? = 100 - A

• Missing subtrahend: If 100 - ? = B, then ? = 100 - B

• Verification: Always check that your answer makes the equation true

• Context: Always answer in the context of the original problem

Examples progression
Missing addend equal to 100:

"Tom has 35 marbles. He needs 100 marbles to fill his jar. How many more does he need?" → 35 + ? = 100 → ? = 65

Missing subtrahend equal to 100:

"A store had 100 pencils. Now there are 43 left. How many were sold?" → 100 - ? = 43 → ? = 57

Addition that equals 100:

"Sarah collected 48 leaves and 52 flowers. How many items did she collect?" → 48 + 52 = 100

Solution: Exercises 4 to 5
4 Multi-step word problem that equals 100
Exercise 4
A bakery made 100 cupcakes. They sold some cupcakes in the morning and had 27 left. Then they sold 15 more cupcakes in the afternoon. How many cupcakes did they sell in the morning?
Definition:

Multi-step word problem equal to 100: A word problem that requires multiple operations to solve, where 100 is the starting amount

Problem
100 - Morning sales - 15 = 27
Step 1
100 - 27 = 73
Step 2
73 - 15 = 58
Step 1: Read and understand the problem

The bakery started with 100 cupcakes

They sold some in the morning (unknown amount)

After morning sales: 27 cupcakes left

They sold 15 more in the afternoon

We need to find morning sales

Step 2: Work backwards from known information

After morning sales, there were 27 cupcakes

Before afternoon sales, there were 27 + 15 = 42 cupcakes

Step 3: Find morning sales

Started with: 100 cupcakes

Left after morning: 42 cupcakes

Morning sales: 100 - 42 = 58 cupcakes

Step 4: Verify the answer

Start: 100

After morning: 100 - 58 = 42

After afternoon: 42 - 15 = 27 ✓

Step 5: Write the answer in context

They sold 58 cupcakes in the morning.

They sold 58 cupcakes in the morning.
Final answer:

They sold 58 cupcakes in the morning.

Applied rules:

• Multi-step reasoning: Work backwards when needed

• Verification: Check that your answer works through all steps

• Context: Always answer in the context of the problem

Multi-Step Problem Equal to 100
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Starting Amount

Bakery made: 100 cupcakes

Morning Sales

After morning: 27 left

Before afternoon: 27 + 15 = 42

Morning sales: 100 - 42 = 58

Afternoon Sales

42 - 15 = 27 left

Answer verified!

5 Comparison word problem that equals 100
Exercise 5
Emma has 100 stickers. Ben has 43 fewer stickers than Emma. How many stickers does Ben have?
Definition:

Comparison word problem equal to 100: A word problem that compares two quantities where one is 100 and the other is found through subtraction

Problem
100 - 43
Setup
Emma's stickers - Difference = Ben's stickers
Result
57
Step 1: Read and understand the problem

Emma has 100 stickers

Ben has 43 fewer stickers than Emma

We need to find how many stickers Ben has

Step 2: Identify the relationship

Ben has FEWER stickers than Emma

So we subtract from Emma's amount

Step 3: Set up the equation

Ben's stickers = Emma's stickers - 43

Ben's stickers = 100 - 43

Step 4: Solve the equation

100 - 43 = 57

Step 5: Verify the answer

Emma: 100, Ben: 57

100 - 57 = 43 (Ben has 43 fewer) ✓

Step 6: Write the answer in context

Ben has 57 stickers.

Ben has 57 stickers.
Final answer:

Ben has 57 stickers.

Applied rules:

• Comparison: "Fewer" indicates subtraction

• Relationship: When comparing, subtract the difference from the larger amount

• Context: Always answer in the context of the problem

Comparison Problem Equal to 100
📊
Given Information

Emma has: 100 stickers

Ben has: 43 fewer than Emma

Operation

Keywords: "fewer than"

Operation: Subtraction

Equation: 100 - 43

Final Answer

100 - 43 = 57

Ben has 57 stickers

Questions & Answers

Question: I don't understand when a word problem equals 100. How do I know if the answer should be 100?

Answer: Great question! A word problem "equals 100" in different ways:

  • The answer is 100: "What plus 35 equals 100?" → Answer: 65
  • One of the numbers is 100: "I have 100 apples and eat 25. How many left?" → Answer: 75
  • The sum equals 100: "25 + 75 = ?" → Answer: 100

Look for the number 100 in the problem and see how it relates to what you're trying to find!

Question: My child sometimes forgets to verify that their answer makes sense with 100. How can I help them check their work?

Answer: Here are strategies to help your child verify their work:

  • Have them substitute their answer back into the original equation
  • Use estimation: "Is my answer close to what I expected?"
  • Draw a picture or use manipulatives to represent the problem
  • Ask: "Does this answer make sense in the story?"

For problems involving 100, encourage them to always double-check by adding or subtracting to see if they get back to 100.

Question: I want to get faster at recognizing problems that involve 100. Are there patterns I can look for?

Answer: Yes, there are several patterns for problems involving 100:

  • Missing addend: "What do I add to 35 to get 100?" (100 - 35 = 65)
  • Complements to 100: Pairs like 40 + 60, 25 + 75, 15 + 85
  • Starting with 100: Problems that begin with 100 and subtract
  • Total of 100: Problems where things add up to 100

Practice recognizing these patterns with different numbers to build fluency!

You can also think of 100 as 10 tens to make mental math easier.