Date post: | 21-Jun-2015 |
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TOPIC 1SIGNIFICANT FIGURES AND
STANDARD FORM
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
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.
Significant Figures
Determination Of Significant Figures
Rounding Off Significant Figures
Non-Zero Digits
Zero occurring between non-zero
digits
In DecimalRules
Non-Zero Digits
All non-zero digits are significant:312 : 3 significant figures3149 : 4 significant figures283.847 : 6 significant figures
Zero Occurring Between Non-Zero Digits
Zeros occurring between non-zero digits are significant:
6003: 4 significant figures201 : 3 significant figures98908 : 5 significant figures
In Decimal
In a decimal, zeros after the non-zero digits are significant:
8.00 : 3 significant figures99.0000 : 6 significant figures10.00 : 4 significant figures
In a decimal, all zeros before a non-zero digit are not significant:
0.009 : 1 significant figures0.01 : 1 significant figures0.10 : 2 significant figures
EXERCISES
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.
Standard Form: Converting single number
to Standard Form
Standard Form:Converting numbers in
Standard Form to Single Numbers
Conversion
THE ENDPlease Do a Lot of Exercises
THANK YOU
JUST REMEMBER:MATHS IS FUN