Number Types
What type of number is 1?
Natural number
Diagram type:
Alive and dead.
Disjoint
How many meters are in a kilometer?
Convert 0.3 to a percent.
30%
What type of reasoning is this?
Gold is expensive
This ring is gold
This ring is expensive
Deductive
True or false:
Natural numbers are contained by integers.
True
Diagram type:
Students and brunettes.
Overlap
How many feet are in a mile?
5280 feet
Last quarter you made $40 from stock, and this quarter you made $50. What is the Relative Difference?
25%
What type of reasoning is this?
My parents have brown hair.
My siblings have brown hair.
Everyone in my family has brown hair.
Inductive
What type of number is pi? (two types)
Real number
Irrational number
Diagram type:
College students and humans.
College students is contained by humans.
How many feet is 48 inches?
4 feet
Sally is comparing her family to the Wilkinson family. In her family, they have 200 medals, and in the Wilkinson family, they have 222 medals. What is the Absolute Difference, and the Relative Difference?
-22
-11%
Is this reasoning sound? Why?
All mammals breathe air.
Dogs are a mammal.
Dogs breathe air.
Sound, because:
The premises are true.
The Venn Diagram you can draw from this is accurate.
True or false:
Whole numbers are contained by integers.
False
Fill in the Venn Diagram labeled on the board.
Answer given by Elise.
You need 36 square feet of material, and know that the store will sell it to you for $3.50 per square yard. How much will it cost for you to get the materials for your project?
$14
You have $300 in stock. Last month it went down 10%, and this month it went up 20%. How much is your stock worth?
$324
Why is this reasoning unsound?
All our presidents have been male.
Jacob is a male.
Jacob has been president.
The Venn Diagram drawn from this doesn't match.
sqrt(-1)
Imaginary
Fill in the columns given on the board.
Answer given by Elise.
You and your friend are trying to see if you can buy a house in Europe together. You know you can afford to spend $1,200 a month, and your friend can afford to spend $15,000 annually. How much money will this be over 30 years?
$1.17 = 1 euro
751,993.20 euros
Your company that you work for monitors customer satisfaction. The year before you started, customer satisfaction went down 22%. The year after you started, you managed to increase customer satisfaction by 60%. What is the overall Relative Change? Round to the nearest percent.
25%
Define the differences between deductive and inductive reasoning.
Deductive: making a specific assumption from a broad premise.
Inductive: making a broad assumption from specific premises.