MATH TIDBITS FOR GRE TWO
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every rational number can be expressed as a terminating or repeating decimal, BUT WHAT IF ITS SOMETHING LIKE THIS:
0.010110111011110111110. . .
THEN ITS IRRATIONAL. IT GOES ON INDEFINITELY.
THEY DO NOT TERMINATE (10/2=5) OR REPEAT (1/3 = .33333 WITH A BAR OVER THE LAST 3).
WHAT IS THE CLASSIFICATION OF NUMBERS.
√(9) is a ________ number.
It is because √(9) = 3
- Notice that √(9) is a natural number.
- It is because √(9) = 3
All integers are fractions.
Not all fractions are integers.
- Example: -2 is an integer and can be written as -2/1 to make it a fraction.
- However, -1/3 = -0.333333333 is not an integer, ITS A RATIONAL NUMBER.
Irrational numbers are numbers that cannot be written as a ___________.
Irrational numbers are numbers that cannot be written as a fraction.
Another way to see them is that they are neither repeating decimals nor terminating decimals.
- pi= 3.14...,
THIS IS KNOWN AS WHAT AND WHAT IS THE X CALLED?
THE X IS KNOWN AS THE INTERVAL. THERE ARE 4 TYPES DEPENDENT UPON IF THE END NUMBERS ARE COUNTED IN THE EQUALITY OR NOT.
DEFINE triangle inequality.
If a is positive and b is negative, then ab is negative.
Be careful not to confuse 0.01 with 0.01%.
The percent symbol matters!
0.01 = _____%
0.01% = ______
0.01 = 1%
0.01% = 0.01/100 = 0.0001
WATCH YOUR DECIMAL PLACEMENTS!!!
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