PPT Significant Figures

Significant Figures Significant Figures

Significant Figures

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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


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


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Rules for significant figures

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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).

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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

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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

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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

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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


24,250 rounded down 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

Hal.: 12 Isi dengan Judul Halaman Terkait

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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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PPT Significant Figures