Real Numbers
What is an irrational number?
An Irrational Number is a real number that cannot be written as a simple fraction.
What is the commutative property of addition?
The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 3 = 3 + 2.
How should you go about solving 2+x=5?
1. subtract two from both sides
2. x=3
What is the greatest common factor of a set of numbers?
The greatest number that is a factor of two (or more) other numbers.
A factor is a number or quantity that when multiplied with another produces a given number or expression.
What is the square root (700)
10 square root (7)
What is a natural number?
the positive integers (whole numbers)
What is the Inverse Property of (Multiplication)?
Inverse Property of Multiplication says that any number multiplied by its reciprocal is equal to one.
An algebraic expression consisting of 3 terms.
What is an additive inverse?
What you add to a number to get zero.
What is the Negative Exponent rule?
Negative exponents in the numerator get moved to the denominator and become positive exponents.
i.e 2^(-2) = 1/2^(2) = 1/4
Is zero a whole number?
Yes
What is the zero product property?
If the product of two numbers is 0, one of the numbers must be 0.
Simplify x2+2=2x2-5
x2=7
What is the multiplicative inverse of a number?
The reciprocal of a number.
How should you go about solving (X2)4
You would multiply 2 by 4, and that would be you new exponent: X8
Two more than twice a number is 20. What is that number, and what kind of number is it?
9; natural number
Name the property: (3 + 0.75) + 19 = 3 + (19+ 0.75)
Associative Property of Addition
What is the variable in this equation? e + x2 + 5
x
What is a nested fraction?
A nest fraction, also known as a complex fraction, is a fraction where the numerator, denominator, or both contain a fraction.
Where was math "invented"?
Mesopotamia and Egypt
What kind of number is pi?
Rational
What is the distributive property
The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.
How do you combine like terms?
A common technique for simplifying algebraic expressions. When combining like terms, such as 2x and 3x, we add their coefficients.
Factor X² - 2x + 35
(x - 5) (x + 7)
Who can we blame for calculus?
Sir Isaac Newton