Chapter 1 - Real Numbers

Rational Numbers

100

Convert the fraction to a decimal.

2/5 

0.4

200

Convert the fraction to a decimal.

-6/11

-0.54 (repeating)

300

Convert the decimal to a fraction.

0.32

8/25

400

Convert the decimal to a fraction.

-2.35

2 7/20

500

Convert the decimal to a fraction.

0.36 (repeating)

4/11

Exponents

100

Write the expression using exponents.

2x2x2x2x2x2

2⁶

200

Write the expression as an exponent.

3x3xmxmxmx4x4x4

3²4³m³

300

Evaluate the expression.

(-9)⁴

6561

400

Evaluate the expression.

(1/3)⁴

1/81

500

Evaluate if x = 2 and y = 10

(x² + y)³

2,744

Multiplying and Dividing Exponents

100

Simplify.

4⁵ x 4³

4⁸

200

y⁸/y²

y⁶

300

Simplify.

-4a(3a⁵)

-12a⁶

400

Simplify.

12b⁶/6b⁴

2b²

500

Simplify.

2w²(4w³)(3w⁴)

24w⁹

Powers of Exponents and Negative Exponents

100

Simplify

(4²)³

4⁶

200

Simplify.

x²/x⁶

1/x⁴

300

Simplify.

(2²x³)⁴

256x¹²

400

Simplify

21x³/28x⁵

3/4x²

500

Simplify.

(3a)(a^-3)

3/a²

Scientific Notation

100

Expand. 

3.2 x 10⁶

3,200,000

200

Convert to Scientific Notation.

0.000045

4.5 x 10^-5

300

Evaluate.

(7.2 x 10³)(1.6 x 10⁴) = 

1.152 x 10⁸

400

Evaluate.

(7 x 10⁹)/(3 x 10⁸) = 

2.3 x 10¹

500

Evaluate.

(6.89 x 10⁴) + (9.24 x 10⁵) =

9.929 x 10⁵