Math Test Chapter 2 Flashcards
What are the sets of numbers? Provide examples of each.
Natural Numbers: 1,2,3…
Whole Numbers: 0,1,2,3…
Integers: …-3,-2,-1,0,1,2,3…
Rational Numbers: 1/4,1.3,6 1/4,1…
Irrational Numbers: Pi, √2…
Real Numbers: All Numbers
What is the word definition of Whole Numbers?
Natural numbers plus zero
What is the word definition of Integers?
Whole numbers and their opposites
What is the word definition of Real Numbers?
All numbers
What is zero? ( Positive or Negative )
Neither, zero is not positive or negative
What is absolute value?
A numbers distance from zero
What are opposites?
Two numbers with the same distance from zero. on opposite sides of zero
What is the word definition of Rational Numbers?
Rational numbers can be written as the quotient of two integers
What can Rational Numbers be?
Terminating or Repeating
What is the word definition of Irrational Numbers?
Irrational Numbers can’t be written as the quotient of two integers
What can Irrational Numbers be?
Non-repeating
What property is this problem?
a + b = b + a
Commutative Property of Addition
What is the word definition of Commutative Property of Addition?
The order in which two numbers are added does not change the sum
What is the word definition of Associative Property of Addition?
The way you group three numbers when adding does not change the sum
What property is this problem?
( a + b ) + c = a + ( b + c )
Associative Property of Addition
What property is this problem?
a + 0 = a
Identity Property of Addition
What property is this problem?
a + ( - a ) = 0
Zero Property of Addition
What is the word definition of Zero Property of Addition?
The sum of a number and its opposite is zero
What is the word definition of Identity Property of Addition?
The sum of a number and 0 is the number
What property is this problem?
a x b = b x a
Commutative Property of Multiplication
What is the word definition of Commutative Property of Multiplication?
The order in which two number are multiplied does not change the product
What property is this problem?
( a x b ) x c = a ( b x c )
Associative Property of Multiplication
What is the word definition of Associative Property of Multiplication?
The way you group three numbers when multiplying does not change the product
What property is this problem?
1 x a = a
Identity Property of Multiplication
What is the word definition of Identity Property of Multiplication?
The product of a number and one is the number
What property is this problem?
a x 0 = 0
Zero Property of Multiplication
What is the word definition of Zero Property of Multiplication?
The product of a number and zero is zero
What property is this problem?
-1 x a = -a
Inverse Property of Multiplication OR Multiplication Property of Opposites
What is the word definition of Inverse Property of Multiplication OR Multiplication Property of Opposites?
The product of a number and negative one is the opposite of the number
What does it mean if the zero is above a number?
The quotient is zero
What does it mean if the zero is below a number?
It is not possible
What is the formula for distance?
d = rt
d = distance
r = rate
t = time
What is the formula for velocity?
vd = vt
vd= vertical displacement
v = velocity
t = time
What are Terms of an Expression?
Terms of an Expression are separated by addition signs
What are Like or Similar Terms?
Terms with the same variable or variables raised to the same power
What is a Term?
A number, a variable, or the product of numbers and variables
What is a Coefficient?
a number that is multiplied by a variable, they do not have to be Similar terms
What is a Constant Term?
a term that does not have any variables in it, it can be a similar term
What is a matrix?
A matrix is a rectangular arrangement of numbers into a horizontal rows and vertical columns
Matrix Size.
rows x # columns
What is the word definition of Scalar Multiplication?
Multiply each element in matrix by the real number outside
What do you need to know about Adding Matrix?
You can only add matrices that are the same size and you have to add corresponding elements
What do you need to know about Subtracting Matrix?
You can only subtract matrices that are the same size and you have to change subtraction sign to addition, change every element in second metrix to its opposite, then add
What property is this problem?
a ( b + c )
a x b + a x c
Distributive Property
What is the word definition of Distributive Property?
Multiply what is outside the parenthesis by everything inside the parenthesis
What is an example of an Simplified Expression?
6x - 18
What does it mean to Evaluate?
To figure out the number that the variable is
What is a Counter example?
It is an example to prove whether or not a statement is true or false
What is the Reciprocal word definition?
The product of any number and its reciprocal is one
