Word Problems: Addition and Subtraction for 4th Grade
Word problems with addition and subtraction help fourth graders apply place value and operations to real-world situations.
Tutor-style math help
Real-World Problems with Rational Numbers: what to notice and how to work it
Sets Numbers skill
Rational-number word problems are solved by translating the story before calculating. Fractions, decimals, and negatives make sense when each number keeps its unit and meaning.
What to notice first
Write what each number represents. Then decide whether the situation combines amounts, compares amounts, or finds a missing amount.
Common student mistake
Do not pull numbers from the sentence and operate randomly. The story decides the operation.
Key formulas and cues
\(\text{start}+\text{change}=\text{new amount}\)
\(\text{difference}=|\text{larger}-\text{smaller}|\)
\(\text{check with units}\)
A reliable path
- SimplifyEvaluate roots, fractions, or decimals when possible.
- Look for fraction formIf the number is a ratio of integers, it is rational.
- Name all setsA number can belong to more than one family.
Worked examples
Combine rational amounts
Example: A hiker climbs \(2.5\) miles, then another \(1.75\) miles.
- Both values measure miles.
- Combine the distances.
- Add 2.5 + 1.75.
Answer: 4.25 miles
Use negative change
Example: The temperature is \(-3^\circ\) and drops \(8^\circ\).
- A drop means subtract 8.
- \(-3-8=-11\).
- Keep the degree unit.
Answer: \(-11^\circ\)
Try one before moving on
Try: A bank balance changes from \(-12\) dollars by adding 20 dollars. Find the new balance.
Answer: $8.
Next step: do the matching worksheet or quiz while the method is still fresh, then come back and explain the first step in your own words.
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Real-World Problems with Rational Numbers: pop-up practice
Answer these quick questions, then use the feedback to decide which part of the lesson to review.
Choose an answer to begin.
1. The first step in a word problem is to:
2. \(-4\) plus a drop of 6 is:
3. A final answer should include:
DETAILED EXPLANATION
Word problems with addition and subtraction require reading carefully, identifying what is being added or taken away, and setting up the correct operation. Key words like ‘in all,’ ‘total,’ ‘left,’ and ‘difference’ can help.
WORKED EXAMPLES WITH STEP BY STEP SOLUTIONS
Example 1
There are 248 students in the cafeteria and 176 in the library. How many students in all?
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Solutions:
Step 1: Apply the concept from the lesson above.
Step 2: Carry out the operation or reasoning.
Answer: 248 + 176 = 424 students.
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