This document focuses on teaching significant figures and standard form, aiming for students to understand definitions, determination, rounding, and calculations involving significant figures. It outlines rules for identifying significant figures, including examples and exercises related to rounding strategies. Additionally, it introduces standard form as a scientific notation method for expressing numbers concisely.

1. TOPIC 1
SIGNIFICANT FIGURES AND STANDARD
FORM

2. At the end of this lesson, students should be able to:
• Define the significant figures
• Determine the significant figures
• Identify the rounding off the significant figures
• Calculate the whole number and determine the significant figures.
• Identify and evaluate the Standard Form
• Perform the conversion of length and volume of liquid
LEARNING OUTCOMES

3. Definition
Significant Figure Standard Form
• Digits of a number that is
relevant to its precision.
EXAMPLE :
The number 13.2 is said to have 3
significant figures. The number 13.20
is said to have 4 significant figures.
• Another name for "Scientific
Notation", where a number is written
in two parts:
• First: just the digits (with the decimal
point placed after the first digit),
• Followed by: ×10 to a power that
would put the decimal point back
where it should be.

4. Significant
Figures
Determination Of Significant
Figures
Rounding Off Significant Figures
Non-Zero
Digits
Zero occurring
between non-
zero digits
In Decimal
Rules

5. Non-Zero Digits
All non-zero digits are significant:
312 : 3 significant figures
3149 : 4 significant figures
283.847 : 6 significant figures

6. Zero Occurring Between Non-Zero Digits
Zeros occurring between non-zero digits are
significant:
6003 : 4 significant figures
201 : 3 significant figures
98908 : 5 significant figures

7. In Decimal
In a decimal, zeros after the non-zero digits are
significant:
8.00 : 3 significant figures
99.0000 : 6 significant figures
10.00 : 4 significant figures
In a decimal, all zeros before a non-zero digit are not significant:
0.009 : 1 significant figures
0.01 : 1 significant figures
0.10 : 2 significant figures

9. EXERCISES

11. Rounding Off Significant Figures
Rules
CASE A:
In rounding off numbers, the last
figure kept should be unchanged if
the first figure dropped is less than 5.
EXAMPLE :
If only one decimal is to be kept, then
6.422 becomes 6.4.
CASE C:
In rounding off numbers, the last figure
kept should be increased by 1 if the first
figure dropped is greater than 5.
EXAMPLE :
If only two decimals are to be kept, then
6.4872 becomes 6.49. Similarly, 6.997
becomes 7.00.
CASE B:
In rounding off numbers, if the first
figure dropped is 5, and all the
figures following the five are zero or
if there are no figures after the
5, then the last figure kept should be
increased by 1 if that last figure is
odd.
EXAMPLE :
For example, if only two decimals are
to be kept, then 6.755000 becomes
6.76.

12. Standard Form:
Converting single number to
Standard Form

13. Standard Form:
Converting numbers in
Standard Form to Single
Numbers

14. Conversion

15. THE END
Please Do a Lot of Exercises
THANK YOU
JUST REMEMBER: