6 min read
Decimals
Count the largest number of digits after the decimal point and multiply through by 10 to that power. For 0.2x+0.5=1.3 multiply by 10 to get 2x+5=13, then 2x=8 and x=4. Mixed decimals such as 0.05x=0.2 need 100. The decimals disappear and you return to integers.
Choose Your Level
Decimals
What is it?
Count the largest number of digits after the decimal point and multiply through by 10 to that power. For 0.2x+0.5=1.3 multiply by 10 to get 2x+5=13, then 2x=8 and x=4. Mixed decimals such as 0.05x=0.2 need 100. The decimals disappear and you return to integers.
In simple words
- Count the largest number of digits after the decimal point and multiply through by 10 to that power.
- multiply through by 10
- x=4
- integers
Important terms
Decimals: Count the largest number of digits after the decimal point and multiply through by 10 to that power. For 0.2x+0.5=1.3 multiply by 10 to get 2x+5=13, then 2x=8 and x=4. Mixed decimals such as 0.05x=0.2 need 100. The decimals disappear and you return to integers.
What you should learn
- Define and explain decimals.
- Apply decimals to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
Examples
- multiply through by 10
- x=4
- integers
CORE UNDERSTANDING
Count the largest number of digits after the decimal point and multiply through by 10 to that power. For 0.2x+0.5=1.3 multiply by 10 to get 2x+5=13, then 2x=8 and x=4. Mixed decimals such as 0.05x=0.2 need 100. The decimals disappear and you return to integers.
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
Count the largest number of digits after the decimal point and multiply through by 10 to that power. For 0.2x+0.5=1.3 multiply by 10 to get 2x+5=13, then 2x=8 and x=4. Mixed decimals such as 0.05x=0.2 need 100. The decimals disappear and you return to integers.
Learn the idea, then use it:
WHAT — DECIMALS
Count the largest number of digits after the decimal point and multiply through by 10 to that power. For 0.2x+0.5=1.3 multiply by 10 to get 2x+5=13, then 2x=8 and x=4. Mixed decimals such as 0.05x=0.2 need 100. The decimals disappear and you return to integers.
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
Count the largest number of digits after the decimal point and multiply through by 10 to that power. For 0.2x+0.5=1.3 multiply by 10 to get 2x+5=13, then 2x=8 and x=4. Mixed decimals such as 0.05x=0.2 need 100. The decimals disappear and you return to integers.
Remember
- multiply through by 10
- x=4
- integers
Examples
- multiply through by 10
- x=4
- integers
- DECIMALS: Count the largest number of digits after the decimal point and multiply through by 10 to that power. For 0.2x+0.5=1.3 mu
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
- multiply through by 10
- x=4
- integers
- keep the ideas separate
- multiply through by 10
- x=4
- integers
- correct term
Deeper understanding
Go beyond memorising Decimals. 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
- multiply through by 10
- x=4
- integers
- keep the ideas separate
- Decimals: Count the largest number of digits after the decimal point and multiply through by 10 to that power.
- WHAT — DECIMALS: Count the largest number of digits after the decimal point and multiply through by 10 to that power.
Do not merge decimals with a neighbouring idea that uses a different definition, rule, or method.
For long answers on Decimals: define clearly → explain the main parts → give one example → state one exam caution.
Exam Focus
Exam Focus
Important points
- multiply through by 10
- x=4
- integers
- keep the ideas separate
Important formulas
- multiply through by 10
- x=4
- integers
Common exam traps
- Do not merge decimals 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 decimals 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 decimals 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.
multiply through by 10
x=4
integers
keep the ideas separate
Count the largest number of digits after the decimal point and multiply through by 10 to that power. For 0.2x+0.5=1.3 multiply by 10 to get 2x+5=13, then 2x=8 a
x=4
- Definition
- Count the largest number of digits after the decimal point and multiply through by 10 to that power. For 0.2x+0.5=1.3 multiply by 10 to get 2x+5=13, then 2x=8 a
- Formula
- x=4
- Example
- multiply through by 10
- Critical warning
- Do not merge decimals with a neighbouring idea that uses a different definition, rule, or method.
Did you understand this topic?
Your answer is saved with your learning record. It does not mark the topic as mastered.
Ready to test yourself?
You've completed the learning section.
Exam Practice
Define
Q1. Define Decimals.
Explain
Q2. Explain: CORE UNDERSTANDING.
Example
Q3. Give one clear example of Decimals and say why it fits.
Mistake
Q4. State one common mistake students make about Decimals.
Exam note
Q5. Write a short exam note on Decimals: definition, two points, one example.
Sources & References
School-standard facts for Matric and Intermediate. Original explanations — not copied from textbooks.