- Dr.Sanjaykumar Pawar
Significant Figures and Measurement Errors | NEET Smart Notes
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| NEET Smart Notes: Significant Figures Rules, Calculation Tricks and Quick Revision Guide |
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NEET Smart Notes: Significant Figures & Mass Calculation
Part 1: Question and Answer
Question:
The mass of a box measured by a grocer’s balance is 2.30 kg. Two gold pieces of masses 20.15 g and 20.17 g are added to the box. Find:
(a) The total mass of the box.
(b) The difference in the masses of the pieces to correct significant figures.
Solution:
Given:
- Mass of box = 2.30 kg
- Mass of gold piece 1 = 20.15 g
- Mass of gold piece 2 = 20.17 g
Step 1: Convert kg into grams
1 kg = 1000 g
2.30 kg = 2.30 × 1000 = 2300 g
(a) Total Mass of Box
Mass of gold pieces:
20.15 g + 20.17 g = 40.32 g
Total mass:
2300 g + 40.32 g = 2340.32 g
For addition, answer should have the same decimal places as the least precise value.
2340.32 g ≈ 2340 g
Final Answer (a): 2.34 kg
(b) Difference in Masses
20.17 g - 20.15 g = 0.02 g
Final Answer (b): 0.02 g
Part 2: Short Notes
Significant Figures
Significant figures are the meaningful digits present in a measurement. They indicate the accuracy and precision of a measurement.
Example:
2.30 kg has 3 significant figures.
Rules for Addition and Subtraction
In addition and subtraction, the number of decimal places decides the final answer.
Addition/Subtraction → Check Decimal Places
Example:
20.15 + 20.17 = 40.32
Unit Conversion
Before calculation, all quantities must be converted into the same unit.
1 kg = 1000 g
Steps to Solve Questions
- Convert all quantities into the same unit.
- Perform addition or subtraction.
- Apply significant figure rules.
- Write final answer with correct unit.
Part 3: Concept Table
| Concept | Meaning | Example |
|---|---|---|
| Measurement | Finding the value of a physical quantity | Mass = 2.30 kg |
| Significant Figures | Meaningful digits in measurement | 2.30 has 3 SF |
| Addition/Subtraction Rule | Decimal places decide answer | 20.15 + 20.17 |
| Unit Conversion | Change units before calculation | 1 kg = 1000 g |
Part 4: Memory Mnemonics
Mnemonic 1:
"ADD-SUB → Decimal Dekho"
Addition and subtraction में हमेशा decimal places count करो.
Mnemonic 2:
"MULTI-DIV → Significant Gino"
Multiplication and division में significant figures count करो.
Mnemonic 3: Zero Rule
"Between and Behind = Important, Before = Ignore"
- Between zeros → Significant
- Decimal के बाद ending zeros → Significant
- Starting zeros → Not significant
30-Second Revision Box
SIGNIFICANT FIGURES
Addition/Subtraction
↓
Decimal Places
Multiplication/Division
↓
Significant Figures
Zero Rules:
Between digits → Significant
After decimal → Significant
Before first digit → Not Significant
1 kg = 1000 g
Convert units before calculation.

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