Show:
Rational or Irrational?
Scientific Notation
Laws of Exponents
Roots!
Vocabulary
100
Irrational
Is the following number rational or irrational? Pi
100
5.87 X 10ˆ7
How is 58,700,000 written in scientific notation?
100
7.2 x 10ˆ14
What is the product of (2.4 × 10ˆ6)(3 × 10ˆ8)?
100
80 inches First, take the square root of √405 = 20.12....Then, multiply by 4 to get the perimeter
Jessie made a square sign with an area of 405 square inches. What is the approximate PERIMETER of the square sign?
100
Exponential Form
What form is the following number in? 3ˆ3
200
irrational because it does not terminate or repeat
Is the √3 rational or irrational?
200
Standard Form: 712,000,000 Scientific Notation: 7.12 x 10ˆ8
The average distance from Venus to the Earth is 712 million km. How is this distance written in scientific notation?
200
2 x 10ˆ10 Remember, when you divide numbers with the same base, you must subtract the exponents --> 7 - (-3) = 10
What is the quotient of (8 × 10ˆ7) ÷ (4 × 10ˆ–3)?
200
Cube Root of 3√125 =
What is the side length of a cube with a VOLUME of 125?
200
Standard Form
The following number is written in __________ form: 1,203,256
300
It's rational because the cube root of 125 = 5
Is the cube root of 125 rational or irrational?
300
.00412 Since the exponent is negative, we move the decimal to the left.
What is 4.12 x 10ˆ-3 written in standard form?
300
2/3
What is the value of (3ˆ3)(2ˆ4)(3ˆ–4)(2ˆ–3) in STANDARD FORM?
300
√105 = 10.24.... = 10.24 lies between 10 and 11 on a number line
On a number line, between what two numbers does √105 lie?
300
Cube Root
What operation would I use to find the the side length of a CUBE with a VOLUME of 8 cmˆ2?
400
Rational because any number that can be expressed as a fraction is rational.
Is 2/3 rational or irrational?
400
5.6898 x 10ˆ-4
What is .00056898 written in scientific notation?
400
.5 Remember to following the order of operations!
What is the value of: .5(2ˆ2 x 2ˆ-2)
400
√0.01 = .1 --> (.1)(.1) = .01
What is the square root of √0.01?
400
Square Root √
What is inverse operation of squaring a number?
500
Rational because 100 is a perfect square.
Is √100 rational or irrational?
500
980000
What is 9.80 x 10ˆ5 written in standard form?
500
6ˆ32 When you have a power RAISED to another power, you must MULTIPLY THE EXPONENTS!
What is (6ˆ8)ˆ4?
500
When x < 0 A cubed negative number will always be negative. A squared negative number will always be positive.
When is xˆ2 greater than xˆ3? A.) Always B.) Never C.) When x < 0 D.) When x > 1
500
The Radical, Radicand, and index
Label ALL of the parts of the following expression: √3