Rational and Irrational Numbers
Study Guide
Know
Vocabulary!
Name:_______________________
Converting
Terminating Decimals
to Fractions
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SAY IT!
When Classifying Remember:
Rational Numbers: Repeat OR Terminate
Irrational Numbers: Non-Repeating and Non-Terminating
4 Steps to Convert Repeating Decimals to Fractions
1. Set the decimal equal to a variable
2. Find the position where the repetition ends, and multiply
the equation by that number
3. Create a subtraction problem
4. Solve for the variable
Plot Numbers on a Number Line
A: 2.56
B: √14
Rational Approximations:
Square the numbers to find
which is closer.
Example:
Which is closer to the square
root of 5, 2.2 or 2.3?
2.22 = 4.84
2.32 = 5.29
Therefore, 2.2 is closer to the
square root of 5.
C: π
D: 4/8
Ordering
Numbers:
√25, 4.7, -1.3, 4.777…
Converting
Percents
to
Decimals
To the Left, To
the Left, Move
the Decimal to
the Left
51.9%
Between two integers:
√25 < √32 < √36
5 < √32 < 6