# How many 5-digit numbers can be made only using the numbers 1 2 3 4 5 with out repeating a number twice example 12345 12354 12435?

120 5-digit numbers can be made with the numbers 12345.

### What is an example of a repeating fraction?

A repeating fraction is a decimal representation of a number in which a string of numbers repeats itself endlessly. The repeating string may start after a finite number of non-repeating digits. For example, 29/132 = 0.21969696... repeating. The repeated sequence is [96] which starts after two digits.

### Is a decimal form of an irrational number a repeating decimal?

Not necessarily. Remember that the definition of an irrational number is a number that can't be expressed as a simple fraction. 2/3, for example, is rational by that definition even though its decimal form is a repeating decimal. Since irrational numbers cannot be written as fractions, they don't have fraction forms. So basically, numbers with repeating decimals are considered rational. Irrational numbers don't have repeating decimals.

### What do you call the decimals numbers that never end?

Decimal numbers that never end but that end up having a repeating pattern are called recurring decimals or repeating decimals. Examples would be 1/3 = 0.33333333... or 452/555 = 0.8144144144144144... (where 144 is the repeating pattern). Reaching that repeating pattern is known as becoming periodic. Only rational numbers will have a repeating pattern. (The repeating pattern may be 00000, as in 4/2 = 2.00000... .) If a decimal number continues forever without having a repeating…

### What includes natural numbers and zero?

Whole Numbers are only natural and zero Integers are positive, negative numbers and zero Rational Numbers include all Integers, along with any terminating, or repeating decimal numbers. (All fractions are rational numbers) Irrational Numbers include all non-repeating, continuous decimal numbers (Pi is a good example of an irrational number) Real Numbers include all of the above Imaginary Numbers include any number that is not real. (i is the only example of an Imaginary Number that…

### What are the kinds of decimal?

There are three main types of decimal numbers: Terminating: these come to an end after a finite number of digits. These are the number 0 and also numbers such that their rational representation in the simplest form has a denominator whose only prime factors are 2 and 5. Repeating: these have a string of digits which repeats without end. The string may start afetr a finite number of non-repeating digits. For example, 2.1346515235235235... has the…

### Can repeating decimals be square?

The answer is yes given no restrictions on the kinds of numbers we allow to be discussed. Simply, think of a repeating decimal number. It has a square root and therefore it is a square. That square root is likely to be an irrational number, but it is a number and so it's square exists and that square is a repeating decimal number. For example, 1/9 (one ninth) is 0.111111... and it is the square…

### How do you show a reccuring number in maths?

A recurring, or repeating, decimal in math is usually expressed by either placing a line over the repeating numbers, or by adding an ellipsis (three periods, "...") after the repeating numbers. For example: 2/3 can be represented as 0.666..., and 27/7 can be represented as 3.857142857142... You could have also placed a line over the "666" and the "857142" in those examples.

### What is 33.3 percent repeating as a decimal?

Answer = .3 with a bar above the 3 or .3 (3 repeating) or even ~.333 (if precision isn't very important). Note: Whenever you have a number in % or "percent" that you want to convert to a decimal number, simply divide the % number by 100 (for example: 33.3 % / 100 = .333). IF the % number is known to be repeating (for example 1/3=.3 repeating=33.3% (repeating)), then you can express the percent…

### How to change a fraction to a decimal?

When change fractions to decimals, it takes one easy step. You simply divide the numerator by the denominator. In other words, you divide the top number by the bottom number. This method doesn't include mixed numbers. When you get a repeating decimal as your answer, that means your denominator is an odd number. When you get a repeating decimal for your answer, simply put a bar above the repeating number/numbers. This shows that this number/numbers…

### Is 81 a rational or irrational number?

81 as well as all whole numbers are rational numbers. Any number that can be written as a fraction is a rational number. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. An example of an irrational number would be pi: π = 3.141592…

### Can we include irrational numbers in the set of positive numbers?

Yes, any positive number is a number that doesn't have a (-) behind it (-20; -23.67; -45.45454...), and is not zero (0). Any repeating number (see 3rd negative example) is irrational, no matter what its sign. Irrational numbers also include numbers (decimals, specifically) that don't repeat, but don't stop. Numbers that don't terminate include pi. Pi, as it is, is proof of a positive irrational number.