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FDP: Terminating Decimals
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Foundational skills
Identify equivalent FDP
\[ \text{Which is NOT equal?} \]
Spot which is not equivalent.
Match equivalent FDP pairs
\[ \frac{3}{4} \rightarrow 0.75 \]
Select the correct equivalent.
Benchmark equivalences
Benchmark fractions → decimals
\[ \frac{3}{8} = 0.375 \]
Key fractions to decimals.
Benchmark decimals → fractions
\[ 0.125 = \frac{1}{8} \]
Key decimals to fractions.
Benchmark fractions → percentages
\[ \frac{3}{5} = 60\% \]
Key fractions to percentages.
Benchmark percentages → fractions
\[ 75\% = \frac{3}{4} \]
Key percentages to fractions.
Benchmark decimals → percentages
\[ 0.35 = 35\% \]
Key decimals to percentages.
Benchmark percentages → decimals
\[ 12.5\% = 0.125 \]
Key percentages to decimals.
Fraction to decimal
Fraction to decimal: /10
\[ \frac{7}{10} = 0.7 \]
Denominator 10 to decimal.
Fraction to decimal: /100
\[ \frac{43}{100} = 0.43 \]
Denominator 100 to decimal.
Fraction to decimal: /1000
\[ \frac{125}{1000} = 0.125 \]
Denominator 1000 to decimal.
Fraction to decimal: factor of 100
\[ \frac{7}{20} = 0.35 \]
Via equivalent fraction.
Fraction to decimal: division (2dp)
\[ \frac{9}{20} = 0.45 \]
Using short division (2dp).
Fraction to decimal: division (3dp)
\[ \frac{7}{8} = 0.875 \]
Using short division (3dp).
Decimal to fraction
Decimal to fraction: tenths
\[ 0.3 = \frac{3}{10} \]
1dp decimal to fraction.
Decimal to fraction: hundredths
\[ 0.43 = \frac{43}{100} \]
2dp, no simplifying needed.
Decimal to fraction: simplify
\[ 0.35 = \frac{7}{20} \]
2dp, simplifying required.
Decimal to fraction: thousandths
\[ 0.347 = \frac{347}{1000} \]
3dp, no simplifying needed.
Decimal to fraction: thousandths simplify
\[ 0.375 = \frac{3}{8} \]
3dp, simplifying required.
Decimal and percentage
Decimal to percentage: 1dp
\[ 0.7 = 70\% \]
1dp decimal to percentage.
Decimal to percentage: 2dp
\[ 0.45 = 45\% \]
2dp decimal to percentage.
Decimal to percentage: 3dp
\[ 0.125 = 12.5\% \]
3dp decimal to percentage.
Percentage to decimal: integer
\[ 35\% = 0.35 \]
Whole % to decimal.
Percentage to decimal: decimal %
\[ 12.5\% = 0.125 \]
Decimal % to decimal.
Fraction and percentage
Fraction to %: denominator 100
\[ \frac{47}{100} = 47\% \]
Direct /100 to percentage.
Percentage to fraction: no simplify
\[ 43\% = \frac{43}{100} \]
No simplifying needed.
Percentage to fraction: simplify
\[ 35\% = \frac{7}{20} \]
Simplifying required.
Fraction to %: factor of 100
\[ \frac{7}{25} = 28\% \]
Via equivalent fraction.
Fraction to %: via decimal
\[ \frac{7}{8} = 87.5\% \]
Convert via decimal method.
Decimal % to fraction
\[ 12.5\% = \frac{1}{8} \]
Decimal percentage to fraction.
Fraction to non-integer %
\[ \frac{5}{8} = 62.5\% \]
Result has decimal places.
Special cases
Percentage > 100% to decimal
\[ 145\% = 1.45 \]
Over 100% to decimal.
Decimal > 1 to percentage
\[ 2.35 = 235\% \]
Over 1 to percentage.
Percentage > 100% to fraction
\[ 125\% = \frac{5}{4} \]
Over 100% to fraction.
Mixed number to decimal
\[ 2\frac{3}{4} = 2.75 \]
Mixed number to decimal.
Mixed number to percentage
\[ 1\frac{1}{4} = 125\% \]
Mixed number to percentage.
Decimal > 1 to mixed number
\[ 3.125 = 3\frac{1}{8} \]
Over 1 to mixed number.
Timer (Optional)
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