Classifying and ordering numbers
Which number is bigger? 3.6 or 11/3
11/3 = 3.666... is bigger
Name the following algebraic property:
9+0=0+9
Commutative property of addition
What is usual acronym we use for the order of operations and what do the words stand for?
PEMDAS (Parantheses, exponents, multiplication, division, addition, subtraction)
Simplify the following square root:
sqrt(60)2*sqrt(15)
What type of number is the square root of 64?
Natural, whole, integer, rational, real
Name the following algebraic property:
-3*(4*9)=(-3*4)*9
Associative property of multiplication
Without a calculator or a cell phone, find the value of the following:
(9*3-20)÷7+10
11
Simplify the sum of the following square roots:
4*sqrt(12)+5*sqrt(3)
13*sqrt(3)
What is the definition of a rational number that we used in this class?
A number that CAN be written as a fraction
Name the following algebraic property:
5*(4x-2) = 20x-8
Distributive property
Without a calculator or a cell phone, find the value of the following:
(4*(3-4)+8)^2+5
21
Simplify the following product of square roots:
sqrt(6)*sqrt(12)
6*sqrt(2)
Put these numbers in order from least to greatest:
-2, 8/3, -5/2, sqrt(8), -2.4, 2.5
-5/2, -2.4, -2, 2.5, 8/3, sqrt(8)
Name the following algebraic property:
6 + 0 = 6
Additive identity
Without a calculator or a cell phone, find the value of the following:
-5*(10-16÷8)+4*(3-2)
-36
Simplify the following square root:
sqrt(300*x^5*y^8)
10*x^2*y^4*sqrt(3x) or 10*x^(2.5)*y^4*sqrt(3)
Give an example that shows this statement is NOT true: All rational decimals are terminating.
1/3 = .333...
What is the additive and multiplicative inverse of 2/5?
Additive inverse: -2/5
Multiplicative inverse: 5/2
Explain why the acronym PEMDAS is not exactly correct.
Multiplication and division can be out of order, addition and subtraction can also be out of order.
Which of the following cannot be simplified any further?
sqrt(60), sqrt(58), sqrt(49), sqrt(56)
sqrt(58)