Section 5'1 Objective: Write fractions as decimals and decimals as fractions'

1
Section 5.1Objective Write fractions as
decimals and decimals as fractions.
2
A rational number is any number that can be
written as a fraction, d?0.
3
Identifying Rational Numbers

• Show that the number is rational by writing it as
  a fraction.
• 7

4
Writing a Fraction as a Decimal
Divide the numerator by the denominator.
.
6
2
5
5
8
5.000
8
4 8
0
2
16
4
0
40
0
5
Terminating Decimal

• A decimal that has a final digit.

6
Writing a Fraction as a Decimal
.
4
5
5
4
5
11
5.0000
11
4 4
0
6
55
5
0
44
6
0
Use a bar to show repeating digits
7
Repeating Decimal

• A decimal that has a digit or block of digits
  that repeats without end.

8
Decimals that terminate or repeat are rational
numbers.
9
(No Transcript)
10
Write the decimal as a fraction in simplest form.
0.8
Tenths
11
Write the decimal as a fraction in simplest form.
5.37
Hundredths
12
Write the decimal as a fraction in simplest form.
8.75
Hundredths
13
Ordering Rational Numbers
0
1
2
3
4
-3
-2
-5
-4
5
-1
14
Classwork

• Show the number is rational
• 3 2.
• Write as a decimal
• 3. 4.
• Write as a fraction
• 5. 0.03 6. -9.4
• 7. Order from least to greatest