Classifying Numbers
Irrational Numbers
Square Roots and Cube Roots
Exponents
Pythagorean Theorem
100
Is 0.692 rational or irrational?
rational
(it is a decimal that terminates)
100
Between what two consecutive integers is √17?
4 & 5
(√16=4, √25=5)
100
What is the √49?
7
(7x7=49)
100
What is 70 ?
1
100
State the Pythagorean Theorem.
For any right triangle,
a2 + b2 = c2,
where a and b are the length of the legs of the triangle and c is the length of the hypotenuse of the triangle.
200
Is √121 rational or irrational?
rational
(√121 = 11)
200
Between what two consecutive integers is √97?
9 & 10
(√81=9, √100=10)
200
What is the ∛27?
3
(3x3x3=27)
200
What is 7—1 ?
1/7
200
What is the value of x in the following triangle?
x = 5 units
(32 + 42 = 52)
300
Is (𝜋 — 1) rational or irrational?
irrational
(Any number involving 𝜋 will be irrational.)
300
What is best whole-number estimate of 𝜋?
3
(𝜋 = 3.14159265359…)
300
What are the two answers to the equation a2 = 64?
a = —8 or a = 8
(—8 x —8 = 64 or 8 x 8 = 64)
300
What is (23)2 ?
64
(26 = 64)
300
What is the value of x in the following triangle?
x = 12 units
(132 - 52 = 122)
400
What is the smallest set of numbers to which the number —7 belongs?
integers
400
What is the best whole-number estimate of √20?
4
(√16=4, √25=5)
400
What is the answer to the equation m3 = —8?
m = —2
(—2 x —2 x —2 = —8)
400
What is (4—8)(411) ?
64
(43 = 64)
400
Can you form a right triangle with the following side lengths?
8, 15, 17
yes
(82 + 152 = 172)
500
What is the smallest set of numbers to which the number 0 belongs?
whole numbers
500
What is the best whole-number estimate of √28?
5
(√25=5, √36=6)
500
What is the √(61.7)2 ?
61.7
(Finding the square root of a number is the inverse of squaring a number.)
500
What is (512)/(510) ?
25
(52 = 25)
500
Find the value of x in the following triangle.
x = 12 units
(separate this into 2 right triangles, 102 — 82 = 62, then multiply by 2 to find x)