Rational / Irrational
A number is rational if it can be ____
written as a fraction
The name for the formula a2+b2=c2 is
Pythagorean Theorem
What is the answer to the square root of 225?
15
How would you write 0.78 as a fraction?
78/100
What is the name is a figure that has a square or triangular base with sloping sides that meet at a point at the top?
A pyramid
Define both rational and irrational numbers.
Rational: Numbers that have an exact value and can be plotted on a number line.
Irrational: Numbers that do not have an exact value and they would need to be estimated on a number line.
The longest side of a right triangle is called the __________
hypotenuse
What is the cube root of 512?
8
What is 4/1000 as a decimal?
0.004
What is the volume of a cube who's side lengths are 14 units?
2,744 units3
Are repeating decimals rational or irrational?
rational
If a right triangle has legs lengths of 12 units and 9 units, the length of the hypotenuse is _____________
15
What two integers does the square root of 97 fall between?
9 and 10
What is 0.28 (the 28 is repeating) as a fraction?
28/99
If a cylinder has a diameter of 8 units and a height of 12 units, what would its volume be? (Remember: V=π*r2*h)
602.88 units3
What do you get if you multiply the square root of 17 times the square root of 17?
17
If a right triangle has a leg length of 11 units, and a hypotenuse with a length of 30 units, how long is the other leg?
The square root of 779 or approximately 27.91
Give the exact answer and an estimate for the cube root of 56
exact: cube root of 56
estimate: any decimal larger than 3.5 but smaller than 3.9
What would be 53/999 as a decimal?
0.053 repeating (the 0,5 and 3 are all repeating)
Find the length of the diagonal of a cylinder that has a height of 22 units and a diameter of 3.2 units.
Square root of 494.24 units
The most common form of irrational numbers is ____________
The square root of non perfect squares or never ending decimals that are not repeating.
What is the area of a right triangle with a height of 27.5 inches and a base of 13.25 inches?
approximately 182 square inches
What is the square root of 0.0009?
0.03
!DOUBLE JEOPARDY!
Convert 0.291 repeating (the 9 and 1 are what is repeating) into a proper fraction. SHOW ALL WORK
x=289/990
Find the length of the diagonal in a rectangular prism that has a width of 5 units, a length of 11 units and a height of 19 units. SHOW ALL WORK
Square root of 507 units long.