Number Sense:
1.1 - 1.3
1.1 - 1.3
How do you know if a root is prefect or not?
The root can be expressed as an integer.
Solve:
x^3 = 343
x = 7
When looking to use the properties of powers, we are specifically looking at two different things about the expression in question. Name one.
The Base or the Exponent
Write the following in standard form:
1.5*10^8
150,000,000
What is Mr. C's exact degree?
Engineering Education
Between which two integers is the √12 between?
3 and 4
Solve:
x^2 = 225
x = 15 and -15
Rewrite using a Power of Products Property:
3^9*2^9
(3*9)^9
Taylor made $43,785 last year. Express this value in scientific notation. Round using the first three terms.
4.38 * 10^4
What is Mr. C's favorite Halloween Candy?
(Hint: This is a Halloween staple)
Candy Corn
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
Write the following as a simplified positive exponent:
4^3/4^5
1/4^2
Solve and put in scientific notation (show work):
5.97 * 10^24 + 7.35 * 10^22
5.8965*10^24
What popular condiment does Mr. C dislike?
Ketchup
(I don't like tomatos)
What is the repeating decimal 4.1363636... as a fraction?
4 3/22 or 91/22
Solve exactly, without rounding:
x^3 = 12
∛12
Write the following as a simplified positive exponent:
7x^-3
7/x^3
What is the value of n in the equation?
1.9*10^7 = (1*10^5)(1.9*10^n)
n = 2
How many sisters does Mr. C have?
1, the youngest
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 8 cm squared. The volume of a cub-shaped block is 64 cm cubed. Will this block fit into the square hole? Explain.
No, the sides of the cube would be 4 cm by 4cm, creating an area of 16 cm squared, too large to fit into the square hole in question.
Solve if x = 6
12x^0(x^-4)
1/108
What is the mass of 30,000 Z molecules if the mass of one Z molecule is stated below in grams? State your answer in scientific notation.
5.3 * 10^-23
1.59*10^-18 Grams
It could be argued that Mr. C's parent's occupations combined make up his job and degree. What are their jobs?
Engineering(Dad) and Teaching(Mom)