Unit 5 Review

Rational vs. Irrational?

100

Is 4.3333... a rational or irrational number?

What is rational number?

200

Is 8.123 a rational or irrational number?

What is a rational number?

300

Is 1/2 a rational or irrational number?

What is rational number?

400

Explain why 5.671038475... is an irrational number.

It is a nonterminating decimal that does not have a pattern, so it cannot be written as a fraction.

500

Which of the following is an irrational number? A. 0.9999... B. 3/5 C. -7 D. 3.928374...

What is D?

Scientific Notation

100

How is the following number written in scientific notation?

450,000

What is 4.5 x 10⁵

200

How is the number written in scientific notation?

0.000398

What is 3.98 x 10^-4

300

What is the correct way to write 3.97 x 10^-2 in standard form?

What is 0.0397

400

What is the correct way to write the number 4.2 x 10⁶ in standard notation?

What is 4,200,000

500

What must be true about "a" in scientific notation?

a x 10ⁿ

What is a must be larger or greater than 1 and smaller or less than 10?

Operations with Scientific Notation

100

What is (7.3 x 10⁵) + (3.7 x 10⁵) in scientific notation?

What is 1.1 x 10⁶

200

Find the difference. Your answer should be in standard notation.

(3.8 x 10⁴) - (2 x 10³)

What is 36,000

300

Multiply (2 x 10⁹)(4 x 10^-4). Give answer in scientific notation.

What is 8 x 10⁵

400

How many times greater is 3.08×10⁸ than 4.4×10⁶? Express your answer using either standard notation or scientific notation.

What is 70 or 7 x 10¹

500

The approximate areas of Oregon and Puerto Rico are listed below:

Oregon: 2.55×10⁵ square kilometers

Puerto Rico: 5.33×10³ square kilometers

How many times larger is Oregon than Puerto Rico? Write your answer in standard notation, rounding to the nearest tenth.

What is 47.8

Square Roots and Perfect Squares

100

3²

What is 9

200

The square root of 89 is between which two numbers?

What is 9 and 10?

300

Approximate the value of the square root of 13 to the nearest tenth?

What is 3.6

400

(-6)²

What is 36

500

Place the following in order from least to greatest. 0.76, and the square root of 2, and 3/5

What is 3/5, 0.76, and square root of 2

Cube Roots and Perfect Cubes

100

What is the cube root of -125?

What is -5.

200

4³

What is 64

300

What is the cube root of 8?

What is 2.

400

Which is the larger number? Square root of 25 or the cube root of 27?

What is square root of 25.

500

What is the length of one edge of a cube if its volume is 27 cubic feet.

What is 3 feet.