Integers in the Number System

A set of whole numbers and their negatives (including zero)
Can be positive, negative, or zero
Examples: ..., -3, -2, -1, 0, 1, 2, 3, ...
Can be represented on the number line
Properties:
- Closure: The result of adding or multiplying two integers is always an integer
- Commutative property: The order of integers does not change the result of addition or multiplication
- Associative property: The order in which integers are added or multiplied does not change the result

A way to represent fractions using a base-10 number system
Consist of a whole number part and a fractional part separated by a decimal point
Examples: 0.5, 3.14, 2.78
Can be converted to fractions
Can be used to represent repeating or non-repeating decimals

A set of non-negative integers (including zero)
Examples: 0, 1, 2, 3, 4, 5, ...
Properties:
- Closure: The result of adding or multiplying two whole numbers is always a whole number
- Commutative property: The order of whole numbers does not change the result of addition or multiplication
- Associative property: The order in which whole numbers are added or multiplied does not change the result

A way to represent part of a whole
Consist of a numerator (top number) and a denominator (bottom number)
Examples: 1/2, 3/4, 2/3
Can be simplified by dividing both numerator and denominator by their greatest common divisor
Can be converted to decimals
Types:
1. Proper fractions: Numerator is less than the denominator
2. Improper fractions: Numerator is greater than or equal to the denominator
3. Mixed fractions: A combination of a whole number and a proper fraction

Closure: The result of adding or multiplying two integers is always an integer.
Commutative property: The order of integers does not change the result of addition or multiplication.
Associative property: The order in which integers are added or multiplied does not change the result.

Decimals are a way to represent fractions using a base-10 number system.
Decimals consist of a whole number part and a fractional part separated by a decimal point.
Examples of decimals include 0.5, 3.14, 2.78.
Decimals can be converted to fractions.
Decimals can be used to represent repeating or non-repeating decimals.

Closure: The result of adding or multiplying two whole numbers is always a whole number.
Commutative property: The order of whole numbers does not change the result of addition or multiplication.
Associative property: The order in which whole numbers are added or multiplied does not change the result.

Fractions are a way to represent part of a whole.
Fractions consist of a numerator (top number) and a denominator (bottom number).
Examples of fractions include 1/2, 3/4, 2/3.
Fractions can be simplified by dividing both numerator and denominator by their greatest common divisor.
Fractions can be converted to decimals.

A fraction represents part of a whole and consists of a numerator (top number) and a denominator (bottom number).
The numerator tells how many equal parts are being referred to, and the denominator tells how many parts the whole is divided into.
Examples of fractions include 1/2, 3/4, and 2/3.
Fractions can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD).

A decimal is a way to represent a fraction with a denominator that is a power of 10.
Examples of decimals include 0.5, 3.14, and 2.78.
Decimals can be added, subtracted, multiplied, and divided (except by 0).
Decimals can be converted to fractions by dividing by a power of 10.

A percentage is a way to represent a fraction with a denominator of 100.
Examples of percentages include 25%, 50%, and 75%.
Percentages can be converted to decimals by dividing by 100.
Percentages can be used to represent proportions, ratios, and increases/decreases.
Examples of percentage calculations include:
- Increase: 25% of 100 = 25
- Decrease: 25% of 100 = -25 (subtracted from 100)
- Proportion: 25% of 80 = 20