converting decimals percent & fractions by mrs. nighs
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Converting Decimals Converting Decimals Percent & FractionsPercent & Fractions
By Mrs. Nighs
Mrs. Nighs
Changing a Decimal to a PercentageChanging a Decimal to a Percentage
Move decimal two spaces to the right.
.25 .355 .8
Mrs. Nighs
Changing Percentage to a DecimalChanging Percentage to a Decimal
Move two spaces to the left.
25% 12.5% 5%
Mrs. Nighs
Change a Decimal to a FractionChange a Decimal to a Fraction
Say the name
.2 .3 .45 .125
Mrs. Nighs
Change Percentage to a FractionChange Percentage to a Fraction
Percent means per-hundred. Think of pennies… How many pennies in one dollar?
So make the denominator 100
25% 17% 8% 125%
Change Fractions to Change Fractions to Percentages and Decimals Percentages and Decimals
By Mrs. Nighs
Mrs. Nighs
How to Change Fractions to a How to Change Fractions to a Decimal & then a PercentageDecimal & then a Percentage
Step 1 - Divide the denominator into the numerator.
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Stop! You can’tdivide a largernumber into a
smaller number!
Mrs. Nighs
How to Change Fractions to How to Change Fractions to PercentsPercents
Step 1 - Divide the denominator into the numerator.
34
Sure you can if you use decimals.
Just watch!
Mrs. Nighs
How to Change Fractions to How to Change Fractions to PercentsPercents
Step 2 – Add a decimal behind your dividend and two zeros.
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Now does it look like you can divide?
4) 3.00
Mrs. Nighs
How to Change Fractions to How to Change Fractions to PercentsPercents
Step 3 – Place a decimal in your quotient exactly above the decimal.
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Putting the decimal in the right spot is important.
4) 3.00.
Mrs. Nighs
How to Change Fractions to How to Change Fractions to PercentsPercents
Step 4 – Divide exactly like you would with long division.
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Greatjob!
4) 3.00.7
2 820
5
20
Mrs. Nighs
How to Change Fractions to How to Change Fractions to PercentsPercents
Step 5 – Move the decimal 2 places to the right and change the decimal to a percent sign.
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Now wasn’t that easy!
.75 %=
Mrs. Nighs
Change this fraction to a percentChange this fraction to a percent
15
The first step is to divide thedenominator
into the numerator.
5)1
Mrs. Nighs
Change this fraction to a percentChange this fraction to a percent
15
The secondstep is to adda decimal &2 zeros after the dividend.
5)1.00
Mrs. Nighs
Change this fraction to a percentChange this fraction to a percent
15
The third step is to place the decimal in the
quotient directly above the decimal.
5)1.00.
Mrs. Nighs
Change this fraction to a percentChange this fraction to a percent
15
The fourth step is to
divide using long division.
5)1.00.2
1 000
0
000
Mrs. Nighs
Change this fraction to a percentChange this fraction to a percent
15
The fifth step is to move the decimal point 2 places to the
right and change it to a percent sign.
5)1.00.2
1 000
0
000
%
Mrs. Nighs
Memorize These EquivalentsMemorize These Equivalents
12143413
=
=
=
=
50%
25%
75%
33.3%
=
=
=
=
66.6%
20%
40%
60%
23152535
Mrs. Nighs
What is the equivalent percent?What is the equivalent percent?
2 = 50%1
Mrs. Nighs
What is the equivalent percent?What is the equivalent percent?
4 = 25%1
Mrs. Nighs
What is the equivalent percent?What is the equivalent percent?
4 = 75%3
Mrs. Nighs
What is the equivalent percent?What is the equivalent percent?
3 = 33.3%1
Mrs. Nighs
What is the equivalent percent?What is the equivalent percent?
3 = 66.6%2
Mrs. Nighs
What is the equivalent percent?What is the equivalent percent?
5 = 20%1
Mrs. Nighs
What is the equivalent percent?What is the equivalent percent?
5 = 40%2
Mrs. Nighs
What is the equivalent percent?What is the equivalent percent?
5 = 60%3
Mrs. Nighs
What is the equivalent percent?What is the equivalent percent?
5 = 80%4
Mrs. Nighs
Whiteboard ActivityWhiteboard Activity
This is an informal assessment teachers use to gauge students understanding.
Please do not look around for the answer. Solve it on your own.
Hold board up until I acknowledge it is correct.
Wait for next question.
Mrs. Nighs
Question # 1Question # 1
Give me the percentage for 0.35?
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Question # 2Question # 2
5Is what percent?
3
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Question # 3Question # 3
4Write as a Decimal.
1
Mrs. Nighs
Question # 4Question # 4
Write 0.8 as a fraction.
Mrs. Nighs
Question # 5Question # 5
Write 20% as a decimal.
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Question # 6Question # 6
Write 125% as a decimal.
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Question # 7Question # 7
Write .35 as a fraction.
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Question # 8Question # 8
Write .125 as a fraction.
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Question # 9Question # 9
Give me 6 prime numbers.
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Question # 10Question # 10
When do you take the Math CAHSEE Test?
Mrs. Nighs
Complete Class workComplete Class workandand
Prepare for QuizPrepare for Quiz