Rational vs Irrational
Rational or Irrational?
√16
Rational because it is the square root of a perfect square!
What is √36
6
The approximate population of Los Angeles is 3.8 x 10^6 people. Express this number in standard notation.
3,800,000
Simplify 5^3 * 5^2
5^5
What is the volume of a cylinder with a radius of 3 and a height of 4?
113.04
Rational or Irrational?
π (pi)
What is the CUBE ROOT of 64? 3√64
4
The typical human body contains about 2.5 x 10^-3 kilograms of zinc. Express this amount in standard form.
0.0025 kg
Simplify 4^6 / 4 ^2
4^4
What is the volume of a cone with a radius of 5 and a height of 6?
157
Rational or Irrational?
√ 15
Irrational because it is the square root of a NON perfect square!
What two numbers does the √ 38 lie between?
6 and 7 because it is between the √ 36 and the √ 49
In 2007, approximately 3,380,000 people visited the Statue of Liberty. Express this number in scientific notation.
3.38x10^6
Simplify (3^4)^2
3^8
What is the volume of a sphere with a radius of 2?
33.493333.....
1.33333333......
Rational because it is a decimal that repeats!
Is √ 85 closer to 9 or to 10? How do you know?
Closer to nine because √ 85 is closer to √ 81 than to √ 100
Write the number 0.00035 in scientific notation
3.5x10^-4
Simplify 4^-2
1/4^2
What is the volume of a cylinder with a diameter of 10 and a height of 3?
235.5
1.4578321..
Irrational because it is a decimal that does not end OR repeat
What whole number is closest to √ 15?
4 because √ 15 is between 3 and 4, and is closer to √ 9 than the √ 16
Convert 25x10^3 into scientific notation
2.5x10^4
{[(5^3+6^2)/(7-8)]^3}^0
0
A jar of peanut butter is half full. It has a radius of 3 and a height of 8. What is the volume of peanut butter in the jar?
113.04