Parts/Types of Fractions
The top number of a fraction.
Example: ½ ¾
Example 1 and 3
Numerator
When I add and subtract fractions, they need to have this on the bottom of both fractions.
1/2 + 3/4 Change this to 2/4 + 3/4 =
What do you call the 4?
Common Denominator
When a number is raised to a power.
Example: 12 5 4 3
Exponential Numbers
•Set of numbers that include zero, natural numbers and all the negatives of the natural numbers.
•Examples: 0, -3, +6
Integers
•Two numbers the same distance from zero on the number line, but in opposite directions.
•Two numbers when added together equal zero.
•Example: -2 and +2. +16 and -16
Opposites or Additive Inverse
The bottom number of a fraction.
Example: 2
3
What is the 3?
Denominator
You need to do this first before you multiply and divide fractions,
You need to change all mixed number to this.
Improper fractions
Example: 12 5 4 3
What do we call the 5 and the 3?
Exponents
•Counting numbers
•Example: 1, 2, 3, …
Natural Numbers
•The sum of any number and zero is equal to the original number.
•The name for zero in addition.
Additive Identity
•My numerator is smaller than my denominator.
•I am always less than one (1).
Example: ½ ¾
Proper Fraction
When you divide fractions, you need to change the 2nd fraction.
Change division to multiplication by using this fraction.
Reciprocol
Example: 12 5 4 3
What do we call the 12 and the 4?
Base
•Integers to the right of zero on a number line.
•Example: +4, +18, +5
Positive Integers
•The sum of two or more numbers does not depend on how the numbers are grouped.
•The numbers may be added in any order.
• a + b = b + a
•Example: 4 + 5 = 5 + 4
Commutative Property
of Addition
•My numerator is usually larger than my denominator.
•Sometimes my numerator and denominator are the same number.
•When I am reduced, I am equal to one (1) or a mixed number.
Improper Fraction
When your answer is an improper fraction, you need to change this to ???
Mixed Number
When we raise a base to the 2nd power.
Example: 12 2 4 2
Squared
•Integers to the left of zero on a number line.
•Example: -3, -12, -15
Negative Integers
•The sum of more than two numbers does not depend on how the numbers are grouped.
•The numbers may be grouped in any order.
• (a + b) + c = a +(b + c)
•Example: (3 + 4) + 8 = 3 + (4 + 8)
Associative Property
of Addition
•I am made up of a whole number plus a fraction.
•Before you multiply or divide fractions, you need to change me to an improper fraction.
•Example: 2 ¾.
Mixed Number
5 big ones!!!!
Free tokens
Example: 12 3 43
How do we say these numbers?
12 cubed
4 cubed
•Distance of a number from zero.
•Positive value of a number.
•It does not have a positive or a negative sign.
•This is my symbol: | 3 |= 3. | -4 | = 4
Absolute Value
•Two operations that have the opposite effect.
•Example: Addition and subtraction are _____.
•Example: Multiplication and division are _____.
Inverse Operations