1.1: Building Fractions
What is 0.55555... as a fraction?
5/9
How do you know if a root is prefect or not?
The root can be expressed as an integer.
What is the cubed root of 8?
2
What describes a number that has decimal terms that reoccur infinitely.
A Repeating Decimal
What is Mr. C's favorite color to us on the smartboard?
(The most dominant color I use to write everything in)
White
(I like chalkboards)
What is 0.63333... as a fraction?
19/30
Between which two integers is the √12 between?
3 and 4
Solve:
x^3 = 343
x = 7
This number classification encompasses all numbers that can be rewritten as fractions.
Rational Numbers
Where did Mr. C go to college?
Ohio Northern University
What is 2.090909... as a fraction?
2 1/11 or 21/11
Classify each of the following:
-81572, sqrt(11) , 5.636336333..., sqrt(16)
Rational:
-81572, sqrt(16)
Irrational:
sqrt(11), 5.636336333...
Solve:
x^2 = 225
x = 15 and -15
This number classification includes all negative numbers, positive numbers, and zero, but not decimals or fractions.
Integers
What is Mr. C's exact degree?
Engineering Education
Why does the calculator round decimals like 0.33333.... to 0.333334?
It is showing that the number is question goes on forever, but it doesn't have enough computing power to show this.
Jen classifies the number 4.567 as irrational because it does not repeat. Is Jen correct? Explain briefly.
She is incorrect because 4.567 can be written as a fraction.
What does the power have to do with the number of possible answers to a root problem?
Even powers: 2 answers
Odd powers: 1 answer
This word describes operations in math that are mirror opposites of one another.
(+ and -) (× and ÷)
Inverse Operations
Random Guess: How many siblings does Mr. C have?
3, two brothers and 1 sister; he is the oldest
What is the repeating decimal 4.1363636... as a fraction?
4 3/22 or 91/22
A museum director wants to hang a √90 ft. tall painting on a wall. How tall, to the nearest foot, does the wall need to be?
10 ft.
A toy has various shaped objects that a child can push through matching holes. The area of the square hole is 30 cm squared. The volume of a cub-shaped block is 125 cm cubed. Will this block fit into the square hole? Explain.
No, the sides of the cube would be 5 cm by 5 cm, creating an area of 25 cm squared, thus able to fit into the square hole in question.
These two operations are inverses of one another and can be redefined as "Repeated Multiplication" and "Repeated Division."
Exponents (powers) and Roots
What does Mr. C's Wife's Degree?
(Hint: She is also in the STEM field, specifically in the 'S')
Chemistry