REPEATING DECIMAL Meaning and
Definition
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A repeating decimal refers to a decimal representation of a rational number in which one or more digits repeat infinitely. It is a decimal expression that never terminates but shows a recurring pattern. When converting a fraction into a decimal, if the quotient is a rational number, the decimal form may exhibit this repeating pattern.
The repeating decimal notation is typically denoted by placing a bar or dots over the repeated sequence of digits. For instance, the repeating decimal notation for the fraction 1/3 is 0.3333..., where the digit "3" repeats infinitely. The dot or bar over the "3" indicates the repetition to show that the decimal continues indefinitely. Similarly, for the fraction 2/7, the repeating decimal representation is 0.285714285714..., where the sequence of digits "285714" repeats infinitely.
Repeating decimals can also have a combination of finite and repeating digits. In such cases, the first set of digits represents the finite part, followed by the repeating part. For example, the fraction 2/9 is equal to 0.222..., where only the digit "2" repeats indefinitely.
Repeating decimals are rational numbers and can be expressed as fractions. By recognizing the pattern of repetition, one can establish an equivalence between a repeating decimal and its fractional form. This type of decimal representation is a fundamental concept in mathematics and finds applications in various areas such as algebra, calculus, and trigonometry.
Common Misspellings for REPEATING DECIMAL
- eepeating decimal
- depeating decimal
- fepeating decimal
- tepeating decimal
- 5epeating decimal
- 4epeating decimal
- rwpeating decimal
- rspeating decimal
- rdpeating decimal
- rrpeating decimal
- r4peating decimal
- r3peating decimal
- reoeating decimal
- releating decimal
- re-eating decimal
- re0eating decimal
- repwating decimal
- repsating decimal
- repdating decimal
Etymology of REPEATING DECIMAL
The word "repeating decimal" comes from the combination of two separate terms: "repeating" and "decimal".
The term "decimal" is derived from the Latin word "decimus", which means "tenth". It originated from the ancient numbering system introduced by the ancient Romans, which was based on powers of ten.
The word "repeating" comes from the verb "repeat", which has its roots in the Latin word "repetere", meaning "to go back, repeat". In the context of repeating decimals, it refers to the pattern of digits that repeats endlessly after a certain point in the decimal representation.
Hence, the term "repeating decimal" combines the concept of a decimal number with digits that repeat infinitely, creating an endless pattern.
Similar spelling word for REPEATING DECIMAL
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