Rational/Irrational numbers
Is the square root of 2 rational or irrational?
Irrational
The pythagorean theorem can only be used for ______ triangles.
Right triangles
If x2=16, then x=?
x=4.
Is pi (π) rational or irrational? Why?
Pi is irrational because it is a never ending number that we cannot write as a fraction or its opposite
The hypotenuse is always the __________ side of the triangle.
a. shortest
b. longest
longest
What two integers does the square root of 5 fall between?
Falls between 2 and 3 because 22=4 and 32=9 and 5 falls between 4 and 9.
A number that can be written as a fraction or its opposite
Is a triangle with the sides 5,7, and 9 a right triangle?
No. The pythagorean theorem does not work for that triangle so it is not a right triangle.
Answer the question put up on the board (study guide #1)
Answer: C
Is a triangle with the sides 6, 8, and 10 a right triangle?
Yes. The pythagorean theorem does work for that triangle so it is a right triangle.
Why is 10/7 not equivalent to the square root of 2? Which one is rational and which one is irrational?
10/7 is rational. It is not equivalent to square root of 2 because it terminates and we know what number it is. Square root of 2 does not terminate and we do not know the exact answer for square root 2.
Answer the following question on the study guide (#6).
13.038 or square root of 170