Simplifying Square Roots and Squared #'s
√9 =
3
Estimate √10 to the nearest whole number
3
Do irrational numbers terminate?
No
What is the formula for the Pythagorean Theorem?
a2 + b2 = c2
What is the longest side of a right triangle called? AND what letter is used to represent it?
DOUBLE POINTS
Hypotenuse (c)
72 =
49
Estimate √34 to the nearest whole number
DOUBLE POINTS
6
Is 31.4564778.... rational?
No
When one leg=3 and the other leg=4 then the hypotenuse=?
2 minutes
5
Letters "a" and "b" are used to represent which part of a right triangle?
a=altitude
b=base
(legs)
√36=
6
√5 is between what two numbers?
2 and 3
Is -365 rational or irrational? Why?
Rational because it is an integer (whole number that's negative)
When one leg=5 and the other leg=6 then the hypotenuse=? (Round answer to the nearest WHOLE number)
DOUBLE POINTS 2 minutes
8
What do we call multiplying a number by itself?
Number (x) squared
92 =
81
√45 is between what two numbers?
6 and 7
Is 11% rational or irrational? why?
Rational because it is a whole number and can be written as a fraction.
Find the distance between the points. Round your answer to the nearest tenth.
(1,3), (4,1)
3 minutes
3.6
The only type of triangle you can use the Pythagorean Theorem on.
Right triangle (90 degree angle)
√144=
12
√134 is between what two numbers?
11 and 12
ONE example of a rational number and ONE example of an irrational number:
Rational: whole numbers, fractions, integers, repeating decimals, perfect squares
Irrational: decimals that do not terminate,
Find the distance between the points. Round your answer to the nearest tenth.
(-3,1), (4,-3)
3 minutes
8.1
How do you use the Pythagorean Theorem? Describe the steps
Identify the values of a,b,c
Plug the values of a,b,c into the Formula
Square root the #'s
Add numbers
Find missing side