Comparing Real Numbers
the set of all rational and irrational numbers
Real Numbers
When you multiply a number by itself, you are _______ the number
squaring
The greatest factor that evenly divides into a set of numbers or monomials
Greatest Common Factor
Add the powers when this rule takes place.
Multiplication Rule of Exponents
Any number that can be expressed as a fraction
Rational Numbers
A number that when multiplied by itself equals a given number; the inverse of squaring a number
square root
The smallest number or expression that is a common multiple of two or more numbers or algebraic terms
Least Common Multiple
Subtract the powers when this rule takes place.
Division Rule of Exponents
Numbers that cannot be expressed as a ratio of two integers. Their decimal expansions do not terminate or repeat.
Irrational Numbers
A whole number that has exactly two factors, 1 and itself
Prime Number
Find the LCM of 4 and 8
8
Multiply the powers when this rule takes place.
Power to a Power Rule
Put these numbers in order from smallest to largest:
pi
sqrt4
6/5
sqrt3
6/5
sqrt3
sqrt4
pi
Numbers whose square roots are integers
Perfect square numbers
Find the GCF of
6x and 3x^2
3x
Anything to the zero power is _____
1
Which of these numbers is irrational?
3.14
71/28
sqrt2
273.413413413...
sqrt2
Simplify (no decimals!):
sqrt18
3sqrt2
Find the LCM of
3x and 9x^3
9x^3
Simplify:
3x^-4
3/x^4