Focus: Use patterns to convert between decimals and fractions
Use a calculator - write each fraction as a decimal:
a) 1/11
2/11
3/11
4/11
What's the pattern? Write a rule...
b) 1/9
2/9
3/9
4/9
What's the pattern? Write a rule...
c) 1/99
2/99
3/99
4/99
* 3/5 means 3÷5
To change a fraction to a decimal...
A) Change the fraction to an equivalent fraction with a denominator of 10, 100, 1000, etc.
Eg. 1 = 5 = 0.5
2 10
B) Use a calculator to divide the numerator by the denominator
Eg. 1 = 1÷2 = 0.5
2
C) Look for a pattern to change decimals to fractions...
Eg. 1 = .01 2 = .02 15 = .15 43 = ?
99 99 99 99
Terminating decimal: a decimal with a certain number of digits after the decimal.
Eg. 1 = 0.125
8
Repeating decimal: a decimal with a repeating pattern in the digits that
follow the decimal point; it is written with a bar above the repeating digits.
Eg. 1 = 0.0909090909.... = 0.09
11
The 0 and 9 repeat, so the bar covers both the 0 and the 9.
Practice - p. 88-89, #1-7
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