
Fundamentals of Logic
Presentation
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Mathematics
•
University
•
Practice Problem
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Easy
Edsel Valera
Used 12+ times
FREE Resource
78 Slides • 32 Questions
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Open Ended
Why is understanding the fundamentals of logic important in mathematics and everyday reasoning?
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Fill in the Blanks
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Multiple Choice
Which of the following is NOT a characteristic of mathematical language?
Precise
Concise
Powerful
Ambiguous
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Multiple Choice
Which words from the table are commonly associated with subtraction in mathematical problems?
sum, add, increase
less, minus, decrease
multiplied, times, product
divided, quotient, split
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Fill in the Blanks
Type answer...
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Fill in the Blanks
Type answer...
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Multiple Select
Which of the following are examples of mathematical sentences?
3x + 4
x + 2x = 3x
11m + 7
x - 1 = 0
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Multiple Choice
What is the role of the equal sign '=' in mathematical sentences?
It acts as a mathematical verb indicating equality.
It separates numbers from variables.
It is used only in addition.
It is not important in mathematical language.
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Categorize
Cat
2
The word 'Cat' begins with the letter 'k'.
1+2=4
5-3=2
The cat is black.
x
5-3
x=1
x-1=0
t+3=3+t
x+0=x
x*1=x
t+3
This sentence is false.
Hat sat bat.
Classify the entries below as:
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Open Ended
Explain the difference between a mathematical expression and a mathematical sentence, using examples from the slides.
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Poll
(5-x^2) is the mathematical expression of the English phrase square of x diminished by 5.
True
False
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Open Ended
Write an English phrase for a mathematical expression
(n − 92).
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Multiple Choice
Which of the following does not belong to the group?
a number increased by 20
the quotient of twenty and a number
the product of 20 and the inverse of a number
20 divided by a number
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Poll
Is 3x + 4y > 9 a mathematical sentence or just a mathematical expression?
Mathematical Expression
Mathematical Sentence
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Poll
5. 4 − xy is the mathematical expression of the English phrase “The product of x and y subtracted from 4”.
True
False
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Multiple Choice
Which of the following is NOT an example of a statement according to the definition in logic?
Manila is the capital of Philippines.
William Shakespeare wrote the television series Modern Family.
The United States has the world’s highest divorce rate.
What time is it?
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Multiple Choice
Which of the following sentences is NOT a statement?
If only every day could be like this one!
The moon is made of green cheese.
6 is a prime number.
February 5, 1992 falls on a Wednesday.
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Multiple Choice
Statement or not?
Statement
Not a statement
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Multiple Choice
Statement or not?
Statement
Not a statement
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Multiple Select
Which of the following is a compound statement?
George Washington was the first U.S. president, and John Adams was his vice president.
If what you’ve told me is true, then we are in great peril.
We drive across New Mexico toward the town with the curious name Truth or Consequences.
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Open Ended
Let p and r represent the following component statements:
p : My backpack is heavy.
r : It’s going to rain.
Write the symbolic statement into words.
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Open Ended
Let p and r represent the following component statements:
p : My backpack is heavy.
r : It’s going to rain.
Write the symbolic statement into words.
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Open Ended
Let p and r represent the following component statements:
p : My backpack is heavy.
r : It’s going to rain.
Write the symbolic statement into words.
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Open Ended
Let p and r represent the following component statements:
p : My backpack is heavy.
r : It’s going to rain.
Write the symbolic statement into words.
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Open Ended
Let p and q represent the following component statements:
p : I pass the test.
q : I past the course.
Write the symbolic statement into words.
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Open Ended
Let p and q represent the following component statements:
p : I pass the test.
q : I past the course.
Write the symbolic statement into words.
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Open Ended
Let p and q represent the following component statements:
p : I pass the test.
q : I past the course.
Write the symbolic statement into words.
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Open Ended
Let p, q, and r represent the following component statements:
p : A student misses lecture.
q : A student studies.
r : A student fails.
Write the symbolic statement into words.
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Open Ended
Let p, q, and r represent the following component statements:
p : A student misses lecture.
q : A student studies.
r : A student fails.
Write the symbolic statement into words.
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Open Ended
Let p, q, and r represent the following component statements:
p : A student misses lecture.
q : A student studies.
r : A student fails.
Write the symbolic statement into words.
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Open Ended
Let p, q, and r represent the following component statements:
p : She will go on vacation.
q : She cannot take the train.
r : She cannot get a loan.
Write the symbolic statement into words.
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Open Ended
Let p, q, and r represent the following component statements:
p : She will go on vacation.
q : She cannot take the train.
r : She cannot get a loan.
Write the symbolic statement into words.
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