MathematicsChapter 1: Real Numbers
Rational Q
Any integer over any non-zero integer is rational: 3/4, -5/2, 7/1.
Learning objectives
- Define and explain rational q.
- Apply rational q to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
Definition
Any integer over any non-zero integer is rational: 34, -52, 71. The word comes from ratio. If you can write the number as a fraction of integers with b != 0, it belongs to Q. Terminating and recurring decimals are also rational, because each of them equals some ab.
Where / symbols
- Rational Q
- Any integer over any non-zero integer is rational: 3/4, -5/2, 7/1. The word comes from ratio. If you can write the number as a fraction of integers with b != 0, it belongs to Q. Terminating and recurring decimals are also rational, because each of them equals some a/b.
Relationship
- b != 0
Overview
Learn the idea, then use it:
Core Understanding
Any integer over any non-zero integer is rational: 34, -52, 71. The word comes from ratio. If you can write the number as a fraction of integers with b != 0, it belongs to Q. Terminating and recurring decimals are also rational, because each of them equals some ab.
Examples ratio · b != 0 · Q · RATIONAL Q: Any integer over any non-zero integer is rational: 3/4, -5/2, 7/1. The word comes from ratio. If you can write the numbe
Exam Application
State the correct term, connect it to the chapter rule or evidence, and use a clear example or calculation.
Examples Define first · Show the rule or evidence · Check units, labels, and conclusion
WHAT — RATIONAL Q
Any integer over any non-zero integer is rational: 34, -52, 71. The word comes from ratio. If you can write the number as a fraction of integers with b != 0, it belongs to Q. Terminating and recurring decimals are also rational, because each of them equals some ab.
HOW — Use the idea
Identify what is given, select this topic's rule or evidence, apply it one step at a time, and check the result.
In simple words
Do not merge rational q with a neighbouring idea that uses a different definition, rule, or method.
Key points
- ratio
- b != 0
- Q
Exam preparation
Exam Focus
Quick revision
Revision Zone
Review the key facts, formulas and checks before you move on.Rational Q
Sticky Notes · Quick Revision
Core Idea
- Any integer over any non-zero integer is rational: 34, -52, 71.
Key Points
- ratio
- b != 0
- Q
Simple Check
- Explain rational q in your own words and connect it to one chapter example.
How to Answer
- Define the idea, show the main rule or evidence, apply it, and check the final statement.
Common Mistake
- Do not merge rational q with a neighbouring idea that uses a different definition, rule, or method.
FBISE Exam Tip
- Use the exact term, show working where needed, and include units or labelled evidence.
60-second revision
- Any integer over any non-zero integer is rational: 34, -52, 71.
- ratio
- b != 0
- Q
Did you understand this topic?
Your answer is saved with your learning record. It does not mark the topic as mastered.