Converting fractions to decimals

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Lesson Organizer - Carolyn Markel
1. Understanding
fractions decimals and
percents
3. Adding, subtracting,
multiplying, dividing decimals
Unit
Parts of a Whole
4. Adding, subtracting,
multiplying, dividing fractions
2. Converting Fractions,
Decimals and Percents to
different forms
5. Using fractions, decimals and
percents to solve problems
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1. Set up the fraction as
a long division problem.
Put numerator “in the
box”. Put the
denominator outside.
Lesson Topic
Converting Fractions,
Decimals and Percents to
different forms
is about
Converting Fractions to
Decimals
2. Put a decimal point and a
zero after the number in the
box.
6. Stop long
dividing when you
get a remainder of
zero, or you have
an answer with 3
or 4 decimal
places.
4. Perform the steps of long
division. (See detailed
instructions if you get stuck.)
5. If you get a remainder
add another zero to the
3. Put another decimal point
number in the box.
above the box (just above the
Keep long dividing.
decimal point in the box)
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Discussion
Relationship between lesson and unit:
Relationship between lesson and daily life:
Fractions, decimals and percents all refer to part-whole
If you order 1/3 pound of lunch meat, the digital scale
relationships – and every number written as a fraction
will read 0.333.
has a way of expressing the same quantity as a decimal.
A quarter of a dollar is $0.25
In manufacturing, blueprint measurements are written
Depending on the situation, some numbers are easier to
as decimals, but are measured with tools that use
think about and some problems are easier to solve when fractions.
a fraction is converted to a decimal.
Not all calculators allow you to enter a number as a
fraction.
Self-Test Questions
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How do you set up a fraction as a long division
problem? (Where does the numerator go? Where
does the denominator go?) (1)
What do you need to do to the number in the box? (2)
Where does the decimal point in your answer come
from? (3)
What can you do if you get stuck with your long
division? (4)
What do you do if you get a remainder? (5)
How do you know when you are done? (6)
Tasks/Strategies
 Look at detailed versions of task analysis
 Do practice problems.
 If long division trips you up, try problems with
calculator.
 Ask yourself if your answer “makes sense”.
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