Integers and Rational Numbers

Integer Rules
1. Addition
  1. Same signs you add and then keep the sign from the beginning
  2. Different signs you subtract and you keep the sign of the larger number
2. Subtraction
  1. keep the sign of the first number change the sign to addition and change the last number to its oppisite
    1. Then
      1. If both signs are positive then the answer will be positive
      2. If both signs are negative then the answer will be negative
3. Multiplication
  1. If the numbers are opposite ( negative times a positive or vise versa) it will be negative
    1. - * + = -
      1. -4 times 4 equals negative 16
  2. If both numbers are positive the product will be positive
    1. + * + =
      1. 4 times 4 equals 16
  3. If both numbers are negative then the product will be positive
    1. -*-=+
      1. -4 times -4 equals positive 16
4. Division
  1. If you are dividing a negative number by a positive number the quotient will be a negative
    1. -/+ = -
      1. -16 divided by 4 equals negative 4
  2. If your dividing two positive numbers then the quotient will be positive
    1. +/+= +
      1. 16 divided by 4 equals 4
  3. If you're dividing a negative by a negative the quotient will be positive
    1. -/- = +
      1. -16 divided by - 4 equals positive 4
Rational numbers rules
1. Subtraction
  1. Subtracting rational numbers is a lot like subtracting integers
    1. Except with fractions and decimals
2. Multiplication
  1. multiplying rational numbers is like multiply integers
    1. Except with fractions
      1. Multiplying fractions you multiply across
        If you have a mixed fractions you have to change it to an improper fraction then multiply across
3. Division
  1. Division with rational numbers is like division with integers
    1. But
      1. When your dividing fraction you have to keep change change
        Keep the first number
        Change the sign from division to multiplication
        Change the second number to its reciprocal then multiply
      2. You can have terminating and repeating decimals
4. Addition
  1. The rules for adding rational numbers is the same as adding integers
Vocabulary words
1. terminating decimal- a decimal that stops after a few decimal places
2. Repeating decimal - a decimal that continues going in a pattern
3. Rational number - a fraction or decimal
4. Integers - positive and negative numbers that are not decimals or fractions
5. Absolute Value - lines on two sides of an integer that when is around a negative number changes it to a positive number but when around a positive number doesn't change anything once you do what it tell you to do
6. opposites - a number that is on the other side of a number line but is the same just hte other sign
7. Additive inverse - the number that when added to your first number equals 0

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Integers and Rational Numbers

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