Integers and Rational Numbers

Integers and Rational Numbers

1. Integer Rules

   • Addition
     • Same signs you add and then keep the sign from the beginning
     • Different signs you subtract and you keep the sign of the larger number
   • Subtraction
     • keep the sign of the first number change the sign to addition and change the last number to its oppisite
       • Then
         • If both signs are positive then the answer will be positive
         • If both signs are negative then the answer will be negative
   • Multiplication
     • If the numbers are opposite ( negative times a positive or vise versa) it will be negative
       • - * + = -
         • -4 times 4 equals negative 16
     • If both numbers are positive the product will be positive
       • + * + =
         • 4 times 4 equals 16
     • If both numbers are negative then the product will be positive
       • -*-=+
         • -4 times -4 equals positive 16
   • Division
     • If you are dividing a negative number by a positive number the quotient will be a negative
       • -/+ = -
         • -16 divided by 4 equals negative 4
     • If your dividing two positive numbers then the quotient will be positive
       • +/+= +
         • 16 divided by 4 equals 4
     • If you're dividing a negative by a negative the quotient will be positive
       • -/- = +
         • -16 divided by - 4 equals positive 4

2. Rational numbers rules

   • Subtraction
     • Subtracting rational numbers is a lot like subtracting integers
       • Except with fractions and decimals
   • Multiplication
     • multiplying rational numbers is like multiply integers
       • Except with fractions
         • Multiplying fractions you multiply across
           • If you have a mixed fractions you have to change it to an improper fraction then multiply across
   • Division
     • Division with rational numbers is like division with integers
       • But
         • 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
         • You can have terminating and repeating decimals
   • Addition
     • The rules for adding rational numbers is the same as adding integers

3. Vocabulary words

   • terminating decimal- a decimal that stops after a few decimal places
   • Repeating decimal - a decimal that continues going in a pattern
   • Rational number - a fraction or decimal
   • Integers - positive and negative numbers that are not decimals or fractions
   • 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
   • opposites - a number that is on the other side of a number line but is the same just hte other sign
   • Additive inverse - the number that when added to your first number equals 0