Admin Table of Contents
What is a decimal in which the repeating digit is zero?
A terminating decimal is usually defined as a decimal number that contains a finite number of digits after the decimal point. A terminating decimal like 13.2 can be represented as the repeating decimal 13.20000000000000…, but when the repeating digit is zero, the number is usually labelled as terminating.
Is 0.1 a repeating decimal?
In decimal, “0.9 repeating”, or 0. In binary, a similar thing is true: “0.1 repeating”, or 0. 1, equals 1.
Is 0 repeating a rational number?
Rational numbers are those numbers that can be expressed as a quotient (the result in a regular division equation) or in the format of a simple fraction. Even if you express the resulting number not as a fraction and it repeats infinitely, it can still be a rational number. Zero is a rational number.
Does a repeating decimal has non zero repeating values?
A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero.
What is 0.1 Repeating as a percent?
Decimal to percent conversion table
| Decimal | Percent |
|---|---|
| 0.07 | 7% |
| 0.08 | 8% |
| 0.09 | 9% |
| 0.1 | 10% |
What is 0.1 Repeating as a rational number?
Answer and Explanation: Yes, 0.1 is a rational number. The decimal number 0.1 is equivalent to the fraction one-tenth, or 110 .
How is 0 a rational number?
Why Is 0 a Rational Number? This rational expression proves that 0 is a rational number because any number can be divided by 0 and equal 0. Fraction r/s shows that when 0 is divided by a whole number, it results in infinity. Infinity is not an integer because it cannot be expressed in fraction form.
Can the repeating digits of a decimal be zero?
The repeating digits also cannot all be zero; 1.000000 is not a repeating decimal even though we can add an infinite number of 0s after the decimal point. There are two commonly used methods for indicating a repeating decimal.
How many digits does a non-terminating decimal have?
It has an infinite number of digits. There are two types of non-terminating decimals, ones that repeat and ones that do not repeat. Non-terminating decimals that repeat are repeating decimals. As described above, repeating decimals have an infinite number of known digits, and the repetend is not 0.
How do you make a terminating decimal into a repeating decimal?
However, every number with a terminating decimal representation also trivially has a second, alternative representation as a repeating decimal whose repetend is the digit 9. This is obtained by decreasing the final (rightmost) non-zero digit by one and appending a repetend of 9.
What is the infinitely repeated digit sequence called?
The infinitely-repeated digit sequence is called the repetend or reptend. If the repetend is a zero, this decimal representation is called a terminating decimal rather than a repeating decimal, since the zeros can be omitted and the decimal terminates before these zeros.