Unit 2, Lesson 4 Rational Numbers

1
Unit 2, Lesson 4 Rational Numbers

• Standard NS 1.0
• Goal To convert fractions to terminating or
  repeating decimals, to convert decimals to
  fractions, and to identify rational numbers.

2
VOCABULARY

• Equivalent equal
• Terminating Decimal a decimal that stops and has
  no remainder
• Repeating Decimal a decimal that repeats forever
• Irrational Number a number that cannot be
  written as a fraction.
• The opposite of a rational number
• Decimals that do not terminate or repeat

3
Convert Fractions to Decimals

• To change a fraction to a decimals means to find
  a decimal that is equivalent to the fraction.
• To Convert fractions to decimals
• Divide the numerator by the denominator

4
Practice

• Convert each fraction to a decimal.

5
Convert Decimals to Fractions

• To convert a decimal to a fraction
• Find the place value of the last digit to use as
  the denominator
• Use the number as the numerator
• Reduce, if possible

6
Practice

1. 0.25
2. 0.375

• 3) 12.5
• 4) 3.06

7
DECIMALS

• Terminating Decimals
• Stop
• Have no remainder
• Both terminating repeating
• Can be written as fractions
• Are rational numbers

• Repeating Decimals
• Dont stop
• Repeat forever

8
Practice

• Determine if the number can be a terminating or
  repeating decimal.
• 0.4
• 1/3
• 33,333,333
• 1/6
• 0.456789

9
Rational vs. Irrational Numbers

• Rational
• Regular numbers
• Negative numbers
• Fractions
• Terminating decimal
• Repeating decimal

• Irrational
• Decimal that does not terminate or repeat
• Square roots, except perfect squares
• p

10
Practice

• Determine if the number is rational or
  irrational.
• 1/5
• 34.66666...