Review Unit
Math Language
CUBES Strategy
Circle the numbers and variables.
Underline the question.
Box the keywords, operations, and units.
Eliminate information that is not needed.
Solve and check by showing your work.
Place Value
Standard Form -- The way a number is normally written (ex. 123)
Expanded Form -- Decompose a number (ex. 100+20+3)
Written Form -- Write the number in words (ex. one hundred twenty three)
Base Ten Model -- Draw a model to represent the number
Divisibility Rules
A number is divisible by 2 if the number ends with an even number.
A number is divisible by 3 when you add the digits together, and the sum of that number can be divided by 3.
A number is divisible by 5 if the number ends in a 5 or 0.
A number is divisible by 6 if the number is also divisible by 2 and 3.
A number is divisible by 9 when you add the digits together and the sum of that number can be divided by 9.
A number is divisible by 10 if the number ends in a 0.
Prime & Composite Numbers
Prime Numbers
Composite Numbers
Properties
Associative Property
Numbers may be grouped different ways
Addition:
(a + b) + c = a + (b + c)
Multiplication:
(a x b) x c = a x (b x c)
Commutative Property
Numbers may be in a different order
Addition:
a + b = b + a
Multiplication:
a x b = b x a
Distributive Property
A factor can be distributed out to addends
Multiplication:
a x (b + c)=(a x b) + (a x c)
or
a(b+c) = ab + ac
Identity Property
A number times 1 will be that number
A number plus 0 will be that number
A number times 0 will be 0
Addition:
a + 0 = a
Multiplication:
a x 1 = a
a x 0 = 0