Name: _________________________________
Date: ___________________
Day 20: Converting Fractions to Decimals using
Long Division
Entrance Task: Use your calculator to find the following quotients:
1.) 1 ÷ 2
2.) 1 ÷ 3
3.) 1 ÷ 4
4.) 1 ÷ 5
5.) 1 ÷ 6
6.) 1 ÷ 7
7.) 1 ÷ 8
8.) 1 ÷ 9
9.) 1 ÷ 10
10.) 1 ÷ 11
A fraction bar represents the operation of ______________________, so the
1
fraction could represent the division problem ______________.
3
All rational numbers can be represented as a _________________ or as a
_________________ that terminates or repeats.
Terminating Decimal -
Repeating Decimal -
To convert a fraction to a decimal,
Using Long Division to Convert a Fraction to a Decimal:
3
Example 1: Convert into a decimal using the Long Division Method.
4
7
Example 2: Convert − into a decimal using the Long Division Method.
8
Example 3: Convert
3
16
into a decimal using the Long Division Method.
Sometimes, something different may happen:
1
Example 4: Convert into a decimal using the Long Division Method.
3
Example 5: Convert −
1
11
into a decimal using the Long Division Method.
5
Example 6: Convert into a decimal using the Long Division Method.
6
7
Example 7: Convert − into a decimal using the Long Division Method.
9
Homework:
Day 20