Classification of Numbers
Is 0 considered a natural number?
No, 0 is a whole #, not natural
Simplify 6 + 2 (3)
12
What is -7 + 3?
-4
Name the property 5 + 0 = 5
Additive Identity
the sum of half a number and 15
x + 15
Classify the number -7/3
Rational - can be expressed as a fraction of integers
(8-3)^2
25
What is -6(-4)
24
Name the property: 7(3+2) = 7(3) + 7(2).
Distributive property
Three times a number decreased by 5
3x-5
True or False: All integers are rational numbers
True - they can be written as fraction with denominators
12/(3+1)(2)
6
Simplify -18x-36x^2/-6x
3+6x
Name the property: (a+b)+c = a+(b+C)
Associative property of addition
7n -5 =2
Give an example of an irrational number and explain why.
Vary -
Explanation: cannot be expressed as a fraction of integers and have non-repeating, nonterminating decimals
True or False: multiplication always comes before division in the order of operations.
Which has the greater value: -7 or |-5+3|
|-5+3|
True or false: the commutative property works for subtraction
False
Seven less than half a number equals 10
1/2x - 7 = 10
Which sets of numbers does square root of 49 belong to?
Natural, whole, integer, rational, & real
Simplify: 5+4 (2³) - (6/3)
36
Simplify: -5^3
-125 - because the power is odd, the negative sign applies
Which property does this belong to: 2/3(3/2) = 1
Inverse property
The distance of an object fell equals half the product of its acceleration due to gravity g and the square of the time t that it was falling.
d = 1/2gt^2