Transcript fractions to decimals

35
numerator
78
denominator
Fractions can be written in both fraction and decimal form.
Fraction
7
10
1
100
19
100
1
1000
23
1000
471
1000
0.7
0.01
0.19
0.001 0.023 0.471
Decimal
One place past the decimal means the
number is over 10, 2 places past
means over 100, etc.
Using a calculator, write the following fractions as a
decimal:
1
2
3
4
11
11
11
11
What patterns do you see?
Using your pattern from the previous slide,
predict the decimal forms of the following
fractions:
5
6
7
8
9
11
11
11
11
11
Then, use a calculator to check your
predictions.
10
11
Using a calculator, write the following fractions as
decimals and be ready to discuss the patterns you
see:
1
2
3
9
9
9
Use your patterns to predict the fraction form of these
decimals:
0.777 777 777….
0.888 888 888….
What do you notice about the last digit in the
calculator display?
0.1
0.25
A decimal with a definite number of decimal places.
0.333 333 333…
0.454 545 454…
0.811 111 111…
Some digits in each repeating decimal repeat forever. We
draw a bar over the digits that repeat.
0.121 212 121 = 0.12
Divide the numerator by the denominator.
6
9
6 ÷ 9 = 0.6
Find a number that will divide evenly into BOTH the
numerator and denominator.
14
÷ 14
= 1
84
÷ 14
6
It is important to keep checking to see if you can
reduce the numbers further until you no longer
can come up with a whole number.
Make your denominator (bottom number), equal to 10,
100 or 1 000.
Example:
3 x 20
5 x 20
=
60
100
Remember, what
ever you do to
the denominator
you must do the
same to the
numerator
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