Chapter 1 Review

Rational and Irrational

100

What is 0.77777777777... as a fraction?

7/9

200

Write 1.48484848484848... as a mixed number.

1 16/33

300

Which numbers are irrational?

1. √36

2. √23

3. 0.15155155515555...

4. -4.2323232323...

2. √23

3. 0.15155155515555...

400

What is the decimal equivalent of 188/11?

17.090909090909...

Order Real Numbers

100

Which is a better approximation of √20, 4.5 or 4.47? Why?

4.47 is a better approximate because it is more precise

200

Between which two whole numbers does √89 lie?

Between 9 and 10

300

Draw a number line and plot √15

Close to, but less than 4

400

Which is larger, 5.7145... or √29?

5.7145...

Square Roots and Cube Roots

100

Is 169 a perfect cube or a perfect square?

A perfect square, 13² = 169

200

Solve each one for x

1. x³ = 64

2. x² = 49

1. x = 4

2. x = ±7

300

Classify each as a perfect square, a perfect cube, both, or neither.

1. 27

2. 100

3. 64

4. 24

1. Perfect Cube

2. Perfect Square (8x8 and 4x4x4)

3. Both

4. Neither

400

A gift box is a cube with a volume of 512 cubic inches. What is the length of each edge of the box?

8 inches

Properties of Integer Exponents

100

Write an equivalent expression for (4³)²

Anything that equals 4⁶ or 4,096

200

Write each expression using positive exponents

1. 9^-4

2. 1/3^-5

1. 1/9⁴

2. 3⁵

300

Evaluate the expression for x=2 and y=5

-4x^-2 + 3y⁰

2

400

Which expressions are equal to 5^-3?

1. 125

2. 125^-1

3. 5³

4. 1/5³

5. 1/125

2. 125^-1

4. 1/5³

5. 1/125

Scientific Notation

100

Write 803,000,000 in scientific notation

8.03 x 10⁸

200

The wavelength of green light is 0.00000051 meter. What is this estimated wavelength as a single digit times a power of 10? 

5 x 10^-7

300

The radius of a hydrogen atom is 0.000000000025 meter. How could you express this value in scientific notation?

2.5 x 10^-11

400

(6 x 10⁹) ÷ (2.4 x 10³)

2.5 x 10⁶