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Integers and Rational Numbers (Rational Numbers (To compare rational…
Integers and Rational Numbers
Integers
Needs common denominator
Subtraction
ex. 1/18-(-2/18)=3/18
Second fraction changes from (+) to (-) and vise versa
Skip the subtraction and get to adding
Addition
Common denominator needed
May require subtraction if adding by (-) numbers
Fraction needed
Does not need a common denominator
Multiplication
ex. 3/5 times 4/3 equals 12/15
Every part of a fraction is multipled
A common denominator is not needed
Division
Skip, Change, Flip
(-) divided by (-) equals a (+) number
Second fraction gets fliped
Rational Numbers
To compare rational numbers it must be put into a ratio then into a fraction to divide
A rational number is usually a fraction made with a ratio that was created with integers
Rational numbers must be ordered from least to greatest
Division
There is only two things that can happen when dividing with Rational Numbers: Terminating Decimal or Repeating Decimal
Terminating decimal has an answer that ends without it repeating
Repeating decimal has an answer that goes on forever
Distance
Integers are required to find and absolute value
Example: 90 out of 100 on test guess, Actual number 99 out of 100
Do not do: |5-||-5|
Number Line
A rational number on a number line has to be converted to a decimal to be properly ordered
Most of the same rules of rational numbers applies however they don't have to be a ratio first
Rational numbers are used