ppt significant figures
TRANSCRIPT
Significant Figures Significant Figures
Significant Figures
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Adaptifpage 2 quantities
SIGNIFICANT FIGURES
Significant figures or significant numbers are all numbers that are gained from the reading of an instrument scale
Significant figures consist of:
Certain number
Estimation number
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SIGNIFICANT FIGURES
Example:
23.650 2,3,6, and 5 are certain numbers and 0 is estimation number
10.938 1,0,9, and 3 are certain numbers and 8 is estimation number
0.0345 3 and 4 are certain numbers and 5 is estimation number. Both zeros in the left are not significant figures
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Rules for significant figures
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1. All numbers other than zero are significant figures
Example: 72.753 (has 5 significant figures)
2. The zero number between two numbers other than zero is significant figures
Example: 900.009 (has 6 significant figures)
3. All the zero number on the right hand of other numbers other than zero, and on the right hand of decimal sign, are significant figures
Example: 3.0000 (has 5 significant figures)
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Rules for significant figures
page: 5 content
4. The zero number on the right of numbers other than zero, and on the right hand of decimal sign, are significant figures.
Example: 67.50000 (7 significant figures).
5. The zero number on the right of numbers other than zero and there is no decimal sign,
is not a significant figures Example: 4700000 (2 significant figures).
6. The zero number on the left hand of first numbers other than zero is not a significant figures
Example: 0.0000789 (3 significant figures).
Adaptifpage: 6 significant number
Significant figures Calculation
The result of addition or subtraction of significant
figures
Only have one estimation number
4 is an estimation number 2,34 cm Example:
0,345 cm 5 is an estimation number+
2,685 cm 8 and 5 are estimation numbers, so it must be rounded up
we can write it: 2,69 cm
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Subtraction of significant figures
page: 7 substraction
13,46 mm
2,2347 mm-
6 is an estimation number
7 is an estimation number
2, 5 and 3 are estimation numbers
11,2253 mm
Then the result is 11,23 mm
Adaptifpage: 8 multiplication
The result of division or multiplication
of significant figures
Only have significant figures as many as the
smallest significant figures between the numbers
8,141 0,22 x
4 significant figures2 significant figures
1,79102
The result is 1,8 (2 significant figures)
Multiplication of significant figures
Adaptifpage: 9 division
1,432 Has 4 significant figures
2,68 :
0,53432
0,53432 is written as 0,534 (Has 3 significant figures)
Division of significant numbers
Has 3 significant figures
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The rules of rounding the result of calculation
page: 10 content
The number bigger than 5 are rounded up The number smaller than 5 are rounded down 5 is rounded up if the previous number is odd and rounded
down if the previous number is even
Example:
24,48 rounded up to 24,5
24,54
24,252 rounded up to 24,3
24,250 rounded down to 24,2
24,150 rounded up to 24,2
rounded down to 24,5
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Scientific Notation
page: 11 scientific notation
Scientific notation can be expressed as follow:
A = significant number , where 1 ≤ A ≤ 10
A . 10x
x = integers
Example:
0,00000435 = 4,35 . 10-6 (has three significant figures)Earth mass = 5,98 . 1024 (has three significant figures)
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Time to discussion
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Time to games
Are you Ready??????
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How many significant figures??
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1.234
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2.00354
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2.000
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How many significant figure of zero??
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9.000
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0.00500
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0.7000
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Calculate the result.Use rules of significant figures
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12.50 + 15.5
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78.38 – 12.3
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2.5 x 4.0
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50. 0 : 2.5
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Congratulation !!!!!!
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