How do you convert a percentage into a decimal using place value?
Conditions
- The starting value is a percentage.
- The fraction denominator is 100.
Reasoning, step by step
- Rewrite the percentage as a fraction over 100.
- Identify the hundredths place value.
- Write the decimal form corresponding to those hundredths.
Example
The video shows 15% = , explaining that 0.15 means fifteen hundredths, with the digit 5 occupying the hundredths place.
Common misconceptions
- Treating percent notation as unrelated to decimals.
- Forgetting that the denominator 100 corresponds to two decimal places.
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Connected concepts
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Related questions
A percent is a special type of fraction where the denominator is always 100. The numerator can be any number, and the percent symbol (%) acts as a shorthand notation for this fixed denominator.
Conditions: The denominator must be exactly 100.; The numerator can be any real number.
Yes, a percentage can be greater than 100%. When the percentage value exceeds 100, it becomes an improper fraction with a value greater than 1, because the numerator is larger than the denominator of 100.
Conditions: The percentage value is strictly greater than 100.; The denominator remains 100.
0% means zero over one hundred, which is a zero fraction with a value of 0. It is allowed because zero may appear on the top (numerator) of a fraction, but not on the bottom (denominator).
Conditions: The numerator is 0.; The denominator is 100.
To convert a percentage into a fraction, place the numerical value of the percentage over 100. The number before the percent sign becomes the numerator, and the denominator is fixed at 100.
Conditions: The starting value is in percent form.; The denominator must be 100.
The word 'percent' comes from Latin roots where 'per' means 'for each' or 'for every', and 'cent' means 100. Therefore, 'percent' literally translates to 'per 100', which aligns with its mathematical definition as a fraction with a denominator of 100.
Conditions: Analyzing the etymology of the word 'percent'.; Connecting linguistic roots to mathematical notation.
Answers are generated from source material and independently checked. Consult the original video or creator if something is unclear.