Fractions and Decimals

Chapter 3 Section 1

Rational Numbers Terminating Decimal – a decimal

that ends. Repeating Decimal – a decimal that

has a digit or group of digits that repeats without end.

Counting Numbers: 1, 2, 3, 4, 5, 6 … Whole Numbers: 0, 1, 2, 3, 4, 5, 6 … Integers: … -3, -2, -1, 0, 1, 2, 3, …

Vocabulary Rational Number – a number that can

be written as a quotient of two integers (in fraction form, , where a and b are integers and b ≠ 0).

Whole #’s

Integers

Rational Numbers

Review: Write Fractions as Decimals

Our decimal system is based on powers of 10 such as 10, 100, and 1,000.

If the denominator of a fraction is a power of 10, you can use place value to write the fraction as a decimal

Complete the table below:

Words Fraction Decimal

Seven tenths 7/10 0.7

Nineteen hundredths

One-hundred five thousandths

Examples:

Write each fraction or mixed number as a decimal:

1. 3/10

2. 3/25

3. -6 and ½

Compare Fractions and Decimals

It may be easier to compare numbers when they are written as decimals

Example: Replace each blank with <,>, or = to make a true sentence

A. ¼ 0.2

Guided Practice pg. 125

4A. 7/8 0.87

4B. -7/15 -5/12