2017­5­11 conversions.notebook
May 11, 2017
Today is Thurs
5/11/17
Do Now:
-Take calculator
-Copy down HW
Round to the nearest tenth
0.8898
0.2435
1.23
Round to the nearest hundreth
0.994567
45.8765
7.824
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Warm up:
Rounding
s
-Decimal/fractions conversions
2017­5­11 conversions.notebook
May 11, 2017
Today's Objective :
Converting Fractions and Decimals
Converting Fractions to Decimals
Task: Write a fraction as a decimal
3 = ??
4
Steps: Divide the numerator by the denominator
3 ÷ 4 = 0.75
2017­5­11 conversions.notebook
May 11, 2017
Change the following fractions to decimals
1
4
3
10
2
5
4
320
How about this one...
1
3
When a decimal has one or more digits that repeat
indefinitely, write the decimal with a bar over the
repeating digit(s).
2017­5­11 conversions.notebook
Mixed number to decimals
2
4
5
Converting Decimals to Fractions
0.45
Write the number over its place value
45 hundredths = 45 then reduce = 9
100
20
Try:
0.16
May 11, 2017
2017­5­11 conversions.notebook
May 11, 2017
Writing a Repeating Decimal as a Fraction
Multiply by 10 since
0.5 has one repeating digit
x = .5
(10)x = (10)0.5
10x = 5.5
Subtract the original equation
Solve for x by dividing
-x
- .5
9x = 5
9
9
x =5
9
Practice
0.6
0.57
2017­5­11 conversions.notebook
May 11, 2017
Mixed Practice
Write each fraction as a decimal
1
5
-13
25
2 1
8
Write each decimal as a fraction
0.4
7.32
.21
2017­5­11 conversions.notebook
May 11, 2017