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Boundaries That Close Gaps
Subtract 0.5 from each lower limit and add 0.5 to each upper limit when classes are whole numbers that skip (1-10 then 11-20). That 0.5 step is how you close gaps. The shared wall is 10.5. Histograms use these walls as the bases of rectangles so there is no empty strip between 10 and 11. If classes are already continuous (0-10, 10-20 with 10 sitting on a stated rule), the given ends may already be
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Boundaries That Close Gaps
What is it?
Subtract 0.5 from each lower limit and add 0.5 to each upper limit when classes are whole numbers that skip (1-10 then 11-20). That 0.5 step is how you close gaps. The shared wall is 10.5. Histograms use these walls as the bases of rectangles so there is no empty strip between 10 and 11. If classes are already continuous (0-10, 10-20 with 10 sitting on a stated rule), the given ends may already be
In simple words
- Subtract 0.5 from each lower limit and add 0.5 to each upper limit when classes are whole numbers that skip (1-10 then 11-20).
- close gaps
- 0.5
- lower
Important terms
Boundaries That Close Gaps: Subtract 0.5 from each lower limit and add 0.5 to each upper limit when classes are whole numbers that skip (1-10 then 11-20). That 0.5 step is how you close gaps. The shared wall is 10.5. Histograms use these walls as the bases of rectangles so there is no empty strip between 10 and 11. If classes are already continuous (0-10, 10-20 with 10 sitting on a stated rule), the given ends may already be
What you should learn
- Define and explain boundaries that close gaps.
- Apply boundaries that close gaps to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
Examples
- close gaps
- 0.5
- lower
CORE UNDERSTANDING
Subtract 0.5 from each lower limit and add 0.5 to each upper limit when classes are whole numbers that skip (1-10 then 11-20). That 0.5 step is how you close gaps. The shared wall is 10.5. Histograms use these walls as the bases of rectangles so there is no empty strip between 10 and 11. If classes are already continuous (0-10, 10-20 with 10 sitting on a stated rule), the given ends may already be
EXAM APPLICATION
State the correct term, connect it to the chapter rule or evidence, and use a clear example or calculation.
Recommended for Class 9
Full school-level explanation
Subtract 0.5 from each lower limit and add 0.5 to each upper limit when classes are whole numbers that skip (1-10 then 11-20). That 0.5 step is how you close gaps. The shared wall is 10.5. Histograms use these walls as the bases of rectangles so there is no empty strip between 10 and 11. If classes are already continuous (0-10, 10-20 with 10 sitting on a stated rule), the given ends may already be
Learn the idea, then use it:
WHAT — BOUNDARIES THAT CLOSE GAPS
Subtract 0.5 from each lower limit and add 0.5 to each upper limit when classes are whole numbers that skip (1-10 then 11-20). That 0.5 step is how you close gaps. The shared wall is 10.5. Histograms use these walls as the bases of rectangles so there is no empty strip between 10 and 11. If classes are already continuous (0-10, 10-20 with 10 sitting on a stated rule), the given ends may already be
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.
CORE UNDERSTANDING
Subtract 0.5 from each lower limit and add 0.5 to each upper limit when classes are whole numbers that skip (1-10 then 11-20). That 0.5 step is how you close gaps. The shared wall is 10.5. Histograms use these walls as the bases of rectangles so there is no empty strip between 10 and 11. If classes are already continuous (0-10, 10-20 with 10 sitting on a stated rule), the given ends may already be
Remember
- close gaps
- 0.5
- lower
Examples
- close gaps
- 0.5
- lower
- BOUNDARIES THAT CLOSE GAPS: Subtract 0.5 from each lower limit and add 0.5 to each upper limit when classes are whole numbers that skip (1-10 then 1
EXAM APPLICATION
State the correct term, connect it to the chapter rule or evidence, and use a clear example or calculation.
Remember
- correct term
- chapter link
- clear application
Examples
- Define first
- Show the rule or evidence
- Check units, labels, and conclusion
Remember
- close gaps
- 0.5
- lower
- keep the ideas separate
- close gaps
- 0.5
- lower
- correct term
Deeper understanding
Go beyond memorising Boundaries That Close Gaps. Connect the definition to reasons, relationships, exceptions, and exam wording.
Common mistakes
Exam focus
Core Idea
Key Points
Simple Check
How to Answer
Exam focus
Quick revision
- close gaps
- 0.5
- lower
- keep the ideas separate
- Boundaries That Close Gaps: Subtract 0.5 from each lower limit and add 0.5 to each upper limit when classes are whole numbers th
- WHAT — BOUNDARIES THAT CLOSE GAPS: Subtract 0.5 from each lower limit and add 0.5 to each upper limit when classes are whole numbers th
Do not merge boundaries that close gaps with a neighbouring idea that uses a different definition, rule, or method.
For long answers on Boundaries That Close Gaps: define clearly → explain the main parts → give one example → state one exam caution.
Exam Focus
Exam Focus
Important points
- close gaps
- 0.5
- lower
- keep the ideas separate
Important formulas
- close gaps
- 0.5
- lower
Common exam traps
- Do not merge boundaries that close gaps with a neighbouring idea that uses a different definition, rule, or method.
- Do not invent a formula, fact, unit, or diagram label that the chapter does not support.
Long question structure
Definition → key parts → example → exam caution
Common Mistakes
Common Mistakes
- Mistake
Do not merge boundaries that close gaps with a neighbouring idea that uses a different definition, rule, or method.
- Mistake
Do not invent a formula, fact, unit, or diagram label that the chapter does not support.
- Mistake
Do not merge boundaries that close gaps with a neighbouring idea that uses a different definition, rule, or method.
Revision Zone
60-Second Revision
Quick cues from this topic — use them for last-minute revision.
close gaps
0.5
lower
keep the ideas separate
Subtract 0.5 from each lower limit and add 0.5 to each upper limit when classes are whole numbers that skip (1-10 then 11-20). That 0.5 step is how you close ga
- Definition
- Subtract 0.5 from each lower limit and add 0.5 to each upper limit when classes are whole numbers that skip (1-10 then 11-20). That 0.5 step is how you close ga
- Example
- close gaps
- Critical warning
- Do not merge boundaries that close gaps with a neighbouring idea that uses a different definition, rule, or method.
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Exam Practice
Define
Q1. Define Boundaries That Close Gaps.
Explain
Q2. Explain: CORE UNDERSTANDING.
Example
Q3. Give one clear example of Boundaries That Close Gaps and say why it fits.
Mistake
Q4. State one common mistake students make about Boundaries That Close Gaps.
Exam note
Q5. Write a short exam note on Boundaries That Close Gaps: definition, two points, one example.
Sources & References
School-standard facts for Matric and Intermediate. Original explanations — not copied from textbooks.