What is a number that can be turned into a fraction
100
Between which two whole numbers would the square root of 67 be?
What is 8 and 9
100
Evaluate (-5)^2
What is 25
100
Is the square root of 30 a rational or irrational number? Explain how you know.
What is irrational because it is a non-terminating decimal that is not repeating.
200
Write .454545.... as a fraction. Also tell if this is a repeating or terminating decimal and a rational or irrational number.
What is 5/11. Repeating. Rational.
200
Is the cubed root of 27 rational or irrational?
What is rational
200
Between which two whole numbers would the square root of 105 be?
What is 10 and 11
200
What does it mean when you square a number? Then give an example.
What is you are multiplying a number times itself. Example 5^2 is 5 * 5 =25
200
Without using a calculator, determine which whole number the square root of 59 is closest to. Explain how you know.
What is 8 because the square root of 8=64 and the square root of 49=7 and 59 is closer to 64 than 49.
300
Write .625625625... as a fraction. Is it repeating, terminating, rational, or irrational?
What is 625/999. Repeating and rational.
300
Are repeating decimals that go on forever rational or irrational?
What is rational
300
Estimate the square root of 45 to the nearest whole number without using your calculator
What is 7
300
Evaluate the square root of 25/81
What is 5/9
300
What is a difference between squaring a number and taking the square root of a number?
answers vary
400
Write 5 3/8 as a decimal. Is this decimal repeating, terminating and rational or irrational?
What is 5.375 Terminating and rational.
400
How can you tell if a decimal can't be turned into a fraction and is an irrational number?
What is the decimal goes on forever and does not repeat (random digits).
400
Estimate the square root of 131 to the nearest whole number.
What is 11
400
What is the square root of (-16)
What is no real solution
400
Whats the difference between finding the square root of a number and finding the cube root of a number?
answers vary
500
Write .070707.... into a fraction without using your calculator. You must show your work in order to get the points.
What is 7/99
500
Explain how you would know that the square root of 13 is irrational without even having to use your calculator to solve it? How can you tell just by looking at it?
Because square roots of non-perfect squares are ALWAYS irrational. 13 is not a perfect square.
500
Find two numbers that have square roots between 3 and 4. Explain how you know that the two numbers have square roots between 3 and 4.
Sample: 11 and 13 because 3 squared is 9 and 4 squared is 16 so any number between 9 and 16 would work.
500
Find two numbers that have square roots between 7 and 8. Explain how you know.
What is square root of 49=7 and square root of 64=8 so any numbers between 49 and 64 would work.
500
The volume of a cube is 125 cm^3. What is the side length of the cube?