Scientific Notation
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Scientific Notation: |
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A number written in scientific notation is written as a product of a number between
1 and 10 and a
power of 10.
Example1: To write 127,680,000 in scientific notation, change the number to a number between 1
and 10 by moving the decimal point 8 places to the left. Then multiply by 10 raised to the power of
the number of places you had to move the decimal point--that is, 108
:
127,680,000 = 1.2768 × 108
0.006021 = 6.021 × 10-3
Example2: Simplify and express in scientific
notation: (2.6 × 105) (9.2 × 10-13)
Now we have to deal with the 2.6 times 9.2, remembering to convert to scientific notation:
2.6 × 9.2 = 23.92 = 2.392 × 10 = 2.392 × 101
Putting it all together, I have:
Example3: To represent a rational number on the number line
Mark the following rationals on the number line:
-2.5, -1/2, 0, 2, 10/3
Example4: To represent  on the number line
Using Pythagoras' theorem in right triangle OAB
.
OB = , if AO = 2 and AB = 1
Cut off OP = OB =
Then the point P represents on the number line.
The square root of a number is the inverse operation of squaring that number. Remember, the
square of a number is that number times itself.
Square of n = n2
Square of 3 = 3 × 3 = 32 = 9
The perfect squares are the squares of the whole numbers.
Perfect squares: 1, 4, 9, 16, 25
The square root of a number n, written below is the number that gives n when multiplied by
itself 
.
 = 5
Because 5 × 5 = 25
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