1. Rational Numbers and Decimals
Objectives: Identify number sets.
Write decimals as fractions.
Write fractions as decimals.

2. Rational Numbers Natural Numbers - Natural counting numbers.
1, 2, 3, 4 …
Whole Numbers -
Natural counting numbers and zero.
0, 1, 2, 3 …
Integers -
Whole numbers and their opposites.
… -3, -2, -1, 0, 1, 2, 3 …
Rational Numbers -
Integers, fractions, and decimals.
Ex:

3. Venn Diagram: Naturals, Wholes, Integers, Rationals

4. Name all the sets of numbers to which the given
number belongs. Circle the most specific set.
Integers
, Rationals
Rationals
Naturals
, Wholes
, Integers
, Rationals
Wholes
, Integers
, Rationals
Rationals

5. Decimal to Fraction
To change a decimal to a fraction, take the place value and reduce!
0.5 means 5 tenths, so 5/10.
Now reduce 5/10 = ½
0.5 = 1/2

6. Converting Fractions and Decimals
To change a fraction to a decimal, take the top divided by the bottom, or numerator divided by the denominator.

7. Complete the table.
Fraction
Decimal

8. Repeating Decimals
Fraction
Decimal
Every rational number (fraction) either terminates
or repeats when written as a decimal.

9. Repeating Decimals
Fraction
Decimal

10. Repeating Decimals
Fraction
Decimal