G8

Input/Model

(Teacher Presents)

Directions: Convert the decimal into a fraction using both methods.

4�

Solution:

Create two equations:

Equation #1
o x=0.4 (single digit pattern).

Determine the number of repeating digits (1) and
multiply by that power of 10.

Equations #2
o 10 x=4.4(multiply by 10 it is a single digit
pattern).

Subtract the first equation from the second.

10 xx−= −4.4 0.4
94 x=

x=^49

2�

Solution: x = 0. 2� Create two equations:

Equation #1
o x = 2.2

Equation #2
o 10x = 2.2...

Solve: 10x – x = 2.2... – 0.2... 92 99

x=

2 x= 9

Answer:^2 9

Input/Model