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