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Mathematics Form 4 - Chapter 1 [ Standard Form ]
posted at Wednesday, 27 February 2013 , 03:18

STANDARD FORM


Start with a decimal.
Going from left to right, the first non-zero digit is the first significant figure.
Each digit to its right is a significant figure.
To write a number x to n significant figures means to write down the number with n significant figures which is closest to x.
     
     
For example, consider 4.198.
To 1 significant figure it is 4.
To 2 significant figures it is 4.2
To 3 significant figures it is 4.20
(we write 4.20 instead of 4.2 to show that we have 3 significant figures).
To 4 significant figures it is 4.198
Consider 27 651
To 1 significant figure it is 30 000
To 2 significant figure it is 28 000
To 3 significant figure it is 27 700
To 4 significant figure it is 27 650
To 5 significant figure it is 27 651
Attentively, significant figures for whole numbers can be done using scientific notation.
Consider the number 30 000.
To 1 significant figure it is 3 x 104
To 2 significant figures it is 3.0 x 104
To 3 significant figures it is 3.00 x 104
To 4 significant figures it is 3.000 x 104

















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STANDARD FORM


Start with a decimal.
Going from left to right, the first non-zero digit is the first significant figure.
Each digit to its right is a significant figure.
To write a number x to n significant figures means to write down the number with n significant figures which is closest to x.
     
     
For example, consider 4.198.
To 1 significant figure it is 4.
To 2 significant figures it is 4.2
To 3 significant figures it is 4.20
(we write 4.20 instead of 4.2 to show that we have 3 significant figures).
To 4 significant figures it is 4.198
Consider 27 651
To 1 significant figure it is 30 000
To 2 significant figure it is 28 000
To 3 significant figure it is 27 700
To 4 significant figure it is 27 650
To 5 significant figure it is 27 651
Attentively, significant figures for whole numbers can be done using scientific notation.
Consider the number 30 000.
To 1 significant figure it is 3 x 104
To 2 significant figures it is 3.0 x 104
To 3 significant figures it is 3.00 x 104
To 4 significant figures it is 3.000 x 104

















Labels:


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