Rational Numbers
Define "Rational Numbers"
Numbers that can be represented as a fraction
Define "Irrational Numbers"
Numbers that cannot be represented as a fraction
What does an exponent tell you?
How many times a number is multiplied by itself
Define "Numerator" and "Denominator"
Top
Bottom
Define "Repeating Decimal"
A decimal that has a pattern and continues this pattern forever
What are three forms a rational number can come in?
Fraction
Whole Number
Decimal that ends
Decimal that repeats
What is one form of irrational numbers?
Decimals that don't repeat and don't end
Square roots that have no answer
What is the opposite of exponents?
Roots
Can a whole number be a fraction?
Why?
Yes
Any number over one is that number; 5 = 5/1
Define "Terminating Decimal"
A decimal that ends
True or False: Rational Numbers are always positive
Why?
False
Negative numbers can be represented as fractions
Is the number 'pi' an irrational number?
Why?
Yes
It never ends and doesn't repeat
Expand the problem 67
67 = 6 x 6 x 6 x 6 x 6 x 6 x 6
6 gets multiplied by itself 7 times
Define "Simplify"
To break down a fraction by dividing a common number
What is the actual definition of the three low dots? ...
They mean that the numbers continue that pattern
So 1, 2, 3, 4, 5, ... means the numbers go up by one and
0.777... means the decimal repeats 7's
Is the number 0.898989... rational?
Why?
Yes
0.898989... = 89/99
Why is the square root of 2 irrational?
Because no number multiplied by itself will equal 2
What are the two main ways to do roots?
Square roots
Cube roots
Convert 0.834 to a fraction and simplify
0.834 = 834/1000
Divide by two's
834/1000 = 417/500
Convert 2/5 to a decimal
2/5 = 0.4
The number pi/pi is rational. Why?
Because any number divided by itself is 1
Is 3.14 rational or irrational?
Why?
Rational
This looks like pi but this number is 3.14 which ends
What is the square root of 64?
What is the cube root of 64?
8; 82 = 64
4; 43 = 64
Simplify 15/55
Divide by five's
15/55 = 3/11
Convert 0.777... to a fraction.
0.777... = 7/9