Types of Numbers
Counting numbers, the set of all positive numbers tarting at 1 that have no fractional or decimal part; also called whole numbers.
What properties apply to division and subtraction?
None!
Simplify the expression: 7-4+1
4
What are the 6 classifications we can use?
Real, Rational, Irrational, Integer, Whole, and Natural
A square field has an area of 200 square meters. The side length of the field is 200\sqrt{200}200.
Approximate the side length to the nearest tenth.
Is the side length rational or irrational?
14.14
Irrational
The set of all natural numbers and zero
what are whole numbers?
For any two numbers a + b = b + a. These are equivalent expressions and both sides of the equation have equal value.
What is commutative property
Simplify the expression:
10 - 3 ⋅ 2
4
Let: a=-3, b=0, c=2, and d=√5
a - b - c
What is the answer to the problem above, and state its classification
-5, Integers, Rational, Real
An elevator starts at the ground floor (0). It goes up 5 floors, down 8 floors, then up 10 floors. What floor does it end up on?
It is on the 7th floor
The set of all numbers that cannot be written by dividing one integer by another. The decimal does not end or repeat.
What are Irrational Numbers?
For any three numbers a, b, and c: (a+b)+c = a+(b+c). This property tells us that the order in which we group numbers does not matter
What is Associative Property
Simplify the Expression:
(9 + 3) ÷ 1.5
8
Let: a=-3, b=0, c=2, and d=√5
d2-c+(b*a)
What is the answer to the problem above, and state its classification
3 and it is a natural #, Whole #, Integer, rational #, and real #
Alice's Basketball team makes 8 regular two-point shots and 4 three-point shots. Dylan's basketball team makes 10 two-points and 2 three-point shots. How many more total points did Alice's team score than Dylan's team?
Alice's team scored 2 more points than Dylan's team
What are Integers?
This property says that we get the same number when we multiply a group of numbers added together or when we multiply a group of numbers added together or when we multiply each number separately and then add them.
What is the Distributive Property
Simplify the expression:
84 - 72 ÷ 6 ⋅ 2 + 1
61
Let: a=-3, b=0, c=2, and d=√5
b2-c+d
What is the answer to the problem above, and state its classification
0.23607, and it is irrational and real
Evaluate this expression that represents the cost of buying tickets (t) and snacks (s):
Tickets are $12.50 each, and snacks are $2.25 each
3 (t+s) - (8.75 - 32)
44.5
The set of all numbers that can be written by dividing one integer by another. These include any number that can be written as a fraction or ratio
What is Rational Numbers?
What is the difference between commutative properties and associative properties?
Associative is the grouping of the numbers/terms
What does PEMDAS mean?
P - Parenthesis
E - Exponents
MD - Multiplication & Division (left to right)
AS - Addition & Subtraction (left to right)
Classify the following number:
3.141592853589793238765643....
Irrational, Real
Brianna had $45. She bought a book for $18.75 and a coffee for $4.25. Later, her friend paid her back $12. Write an expression to represent the situation, then find her final balance.
45 - 18.75 - 4.25 + 12
34