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Unit 1 The Number System Interactive Notebook Created By: Math in Demand Converting a Repeating Decimal into a Fraction
Unit 1
The Number System
Interactive Notebook
Created By: Math in Demand
Converting a Repeating Decimal
into a Fraction
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Math in Demand with
The Number System (Converting a Repeating Decimal
into a Fraction)
Example: Convert 1.86 into a fraction below:
©2017 Math in Demand
I can ___________________
_______________________
Solving One-Step Equations
Solve the following one-step equation:
99x = 33
Lift Tab to Read Steps
How do I convert a repeating decimal
into a fraction?
Fold Here
Directions: Cut out the following figure on the dotted lines. Fold on the solid line. Glue the figure on the area that says “Glue Here”.
©2017 Math in Demand
4.) 0.287
Answer
3.) 0.26
Answer
2.) 0.18
Answer
1.) 0.5
Answer
On a rating of 1-5, how comfortable are you with this concept?
(5 is the highest)
1 2 3 4 5
©2017 Math in Demand
The Number System (Converting a Repeating Decimal
into a Fraction)
Reflection: I learned…
The Number System (Converting a Repeating Decimal
into a Fraction)
Example: Convert 1.86 into a fraction below:
Step 1: x = 1.868686…
Step 2: 100x = 186.8686…
Step 3: 100x = 186.8686...
- x = 1.8686… 99x = 185
Step 4: 99x = 185 99 99
x = 185
99 = 1
86
99
©2017 Math in Demand
I can ___________________
_______________________
change a repeating
decimal into a fraction.
Step 1: Set the repeating decimal equal to “x”.
Step 2: Determine how many digits are repeating. Multiply both sides of the equation by 10 for each
digit that it repeats.
Step 3: Subtract “x” from both sides of the equation. This will cancel out the repeating digits.
Step 4: Divide both sides of the equation by the coefficient.
Solving One-Step Equations
186
99
Solve the following one-step equation:
99x = 33
99x = 33 99 99
x = 1
3
Lift Tab to Read Steps
How do I convert a repeating decimal
into a fraction?
Fold Here
Directions: Cut out the following figure on the dotted lines. Fold on the solid line. Glue the figure on the area that says “Glue Here”.
©2017 Math in Demand
4.) 0.287
Answer
x = 0.28787…
100x = 28.7878…
100x = 28.7878...
- x = 0.28787… 99x = 28.5. 99 99
x = 285
990 =
19
66
3.) 0.26
Answer
x = 0.26666…
100x = 26.666…
100x = 26.666...
- x = 0.2666… 99x = 26.4 99 99
x = 264
990 =
4
15
2.) 0.18
Answer
x = 0.18888…
100x = 18.888…
100x = 18.888...
- x = 0.1888… 99x = 18.7 99 99
x = 187
990
1.) 0.5
Answer
x = 0.5555…
10x = 5.555…
10x = 5.555...
- x = 0.555… 9x = 5 9 9
x = 5
9
On a rating of 1-5, how comfortable are you with this concept?
(5 is the highest)
1 2 3 4 5
©2017 Math in Demand
The Number System (Converting a Repeating Decimal
into a Fraction)
5
9
187
990
4
15
19
66
Reflection: I learned…
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