5.1 Rational Numbers

Rational Number- A number that can be written as a fraction

Ex: 0.6 90

-3.9

Write two more examples of rational numbers.

-15

Show that the number is rational by writing it as a quotient of two integers.

1.) 2.) 0.9 3.) 32

Irrational Numbers- Numbers that cannot be written as a fraction (non-repeating, non-terminating decimals, square root of a non-perfect square)

Real Number- the set of rational and irrational numbers

Ex.

The Venn diagram shows the relationship among all real numbers

Tell if the number is rational or irrational.

1.) 2.)

3.) 4.)

Write each fraction as a decimal. Use the equivalent fraction method.

1.)

2.)

Write each fraction or mixed number as a decimal. Use the division method. Tell if it is repeating or terminating

3.) 4.)

5.) 6.)

Write each decimal as a fraction in lowest terms.

1.) 0.65 2.) 1.6 3.) -3.022

Sometimes you can find a pattern. Write each fraction as a decimal.

a.)

b.) c.)

d.)

What pattern do you notice?

Writing a repeating decimal as a fraction.

1.) Write as a fraction.Set the variable equal to n

Multiply each side of the equation by 100

Subtract the same value form each side

Solve

2.) Write as a fraction.

To order fractions and decimals, you must convert the fractions to decimals and then compare.

Write in order from least to greatest. Be sure to change each fraction to a decimal first.

1.)

2.)

Write the fraction or mixed number as a decimal.

1.) 2.)

Demonstrate Understanding

Write the decimal as a fraction or mixed number in lowest terms.

3.) 4.) 0.7 5.)

Write the numbers in order from least to greatest.

6.)

Write irrational or rational.7.)

8.)