Chapter 4B

Rational Numbers

100

order the numbers from least to greatest

-3/5, 2/3, -0.3, -0.75, 1/10

-0.75, -3/5, -0.3, 1/10, 2/3

200

order the numbers from least to greatest

1/2, 3/4, -0.1, 9/10, -0.5

-0.5, -0.1, 1/2, 3/4, 9/10

300

Write two equivalent fractions

-4/5

(-4)/5, 4/(-5)

400

Evaluate and write in simplest form

a = 6         b=-5

(7-b)/(3a)

2/3 

500

Evaluate and write in simplest form

m=-4    n=-6

(n-m)/(3n)

1/9

Exponents

100

Simplify

m^5*m^7

m¹²

200

Simplify

x^2*y^4*x^7

x⁹y⁴

300

Simplify

-5c^2*-3c^7

15c⁹

400

Simplify

4b^4*-12b^7

-48b¹¹

500

Simplify

(x⁵)⁷

x³⁵

Exponents

100

Complete the equation

(a^__)⁹ = a²⁷

3

200

Simplify

(x^25)/(x^18)

x⁷

300

(a^-6)/(a^6)

Simplify

a^-12 

or

1/(a^12)

400

Simplify

xy⁵/x⁵y³

x^1-5 * y^5-3

x^-4 * y²

y²/x⁴

500

Simplify

(c^-4)/(c^-4)

1

Scientific Notation

100

Write in standard notation

5.94 x 10⁷

59,400,000

200

Write in standard notation

2.104 x 10^-8

0.00000002104

300

Write in scientific notation

8,900,000,000

8.9 x 10⁹

400

Write in scientific notation

0.000006

6 x 10^-6

500

Multiply and write in scientific notation

(9x10^-3)(7x10⁸)

6.3 x 10⁶

Vocabulary

100

 fractions that show the same piece of a whole

equivalent fractions

200

numerator and denominator have no common factors other than one.

simplest form

300

standard notation

simplifying the product of the two factors in scientific notation

400

rational number 

any number that can be written as a quotient a/b of two integers, where b is not zero.

500

scientific notation

a way to write numbers using powers of 10