Chapter 2:Real Numbers

Decimal to Fraction

100

What is 0.25 as a fraction?

1/4

200

What is 0.745 as a fraction?

149/200

300

What is 0.444444... as a fraction?

4/9

400

What is 0.8787878787... as a fraction?

87/99 or 29/33

500

What is 1.0505050505... as a fraction?

104/99 or 1 5/99

Comparing and Ordering Real Numbers

100

Compare using <, >, or =. -5.4 ____ 6.7

-5.4 < 6.7 (Negative numbers are always smaller than positive numbers.)

200

Compare using <, >, or =. 0.76 _____ 0.2345

0.76 > 0.2345

300

Compare using <, >, or =. 4/5 _____ 0.80

4/5 = 0.80

400

Order the following numbers from least to greatest: 1/2, 0.12, -8, 0, -1.3

-8, -1.3, 0, 0.12, 1/2

500

Order these numbers from greatest to least: 3.9, -4, 1.22, 1/4, -12

3.9, 1.22, 0.25, -4, -12

Square Roots/ Cube Roots

100

x² = 324

x = ?

x =18, -18

200

a³ = -216

a = ?

a = -6

300

Is 27 a perfect cube, perfect square, both, or neither?

Perfect cube

400

Is 64 a perfect square, perfect cube, both, or neither?

Both

500

Is the square root of 125 less than or greater than 10? Why?

It is greater because the square root of 125 is between the square root of 121 (11) and the square root of 144 (12).

Exponents

100

Write the equivalent expression:

7⁹ x 7⁵

7¹⁴

200

Write the equivalent expression of (3³)⁵

3¹⁵

300

Write the equivalent expression of 6⁴ x 2⁴

12⁴

400

Write the equivalent expression of 4¹⁰/ 4⁴

4⁶

500

Evaluate 7x^-3 if x = 4.

7/64

Scientific Notation/Powers of 10

100

Convert 532000000 from standard form to scientific notation.

5.32 X 10⁸

200

Convert 0.000092 from standard form to scientific notation.

9.2 X 10^-5

300

Convert 4.8 x 10^-11 to standard form.

0.000000000048

400

(4.7 x 10⁴) + (8 x 10⁴)

1.27 x 10⁵

500

(4.2 x 10⁵) x (2.5 x 10³)

1.05 x 10⁹