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What do you call a decimal number that ends or recurrs?
A decimal number that ends is called a terminating decimal, while a decimal number that repeats a specific sequence of digits indefinitely is referred to as a repeating or recurring decimal. For example, 0.75 is a terminating decimal, and 0.333... (where the 3 repeats) is a repeating decimal. Both types can be expressed as fractions.
Terminating Recurring Decimal?
Decimals can be recurring. Decimals can be terminating. They can't be both.
Can every number be represented as a decimal?
Yes, every real number can be represented as a decimal. This includes both rational numbers, which can be expressed as terminating or repeating decimals, and irrational numbers, which have non-repeating, non-terminating decimal representations. However, the way these numbers are represented can vary, with some requiring an infinite number of decimal places. Therefore, while all real numbers have decimal representations, the nature of those representations differs based on the type of number.
What is 0.99999999999999 as a fraction?
As a terminating decimal, 0.99999999999999 = 99999999999999/100000000000000 If that is a repeating decimal 0.999..., then: let x = 0.999... Multiplying both sides by 10 gives: 10x = 9.999... Subtracting the original gives: 10x - x = 9.999... - 0.999... → 9x = 9 → x = 1 So 0.999... repeating is the same as 1.
Are non terminating and non repeating number rational numbers and why?
If a number is both non-terminating andnon-repeating then it is irrational.It is called irrational because we can not convert the number in to a fraction where the denominator (the number at the bottom) is not 0.You could search for as long as you liked, but you would not find two integers which when one is divided by the other (when the bottom number is not 0 remember) that would result in a number which is both non-terminating and non-repeating.
What is the vocabulary for a terminating decimal and a repeating decimal?
They are both rational numbers.
Is 8.2 a rational number?
Yes. Any terminating decimal is a rational number. Any repeating decimal also.
Terminating Recurring Decimal?
Decimals can be recurring. Decimals can be terminating. They can't be both.
Can every number be represented as a decimal?
Yes, every real number can be represented as a decimal. This includes both rational numbers, which can be expressed as terminating or repeating decimals, and irrational numbers, which have non-repeating, non-terminating decimal representations. However, the way these numbers are represented can vary, with some requiring an infinite number of decimal places. Therefore, while all real numbers have decimal representations, the nature of those representations differs based on the type of number.
Which fractions can be represented by a terminating decimal?
A fraction will have a terminating decimal if the prime factorisation of the denominator contains only the primes 2 or 5, or both.
Is 0.62 repeating a rational number?
As written '0.62' it is a terminating rational decimal 0.626262.... is a repeating rational decimal. Note the repetition of the number followed by three or more full stops to indicate repetition. NB Both are rational because both can be converted to a ratio/fraction.
What kinds of decimals are rational numbers?
terminating decimals and non-terminating repeating decimals are considered rational numbers.pi is an example of an irrational number. this is the ratio of the circumference of a circle over the diameterthe value of pi is 3.1416....it is non terminating and non-repeating, therefore it is considered as an irrational nimbermakalagot jud kaayo kay dugay makuha ang answer. hahay. tawn pud. way klaro ani nga website oy. way gamit >:)
What is 0.99999999999999 as a fraction?
As a terminating decimal, 0.99999999999999 = 99999999999999/100000000000000 If that is a repeating decimal 0.999..., then: let x = 0.999... Multiplying both sides by 10 gives: 10x = 9.999... Subtracting the original gives: 10x - x = 9.999... - 0.999... → 9x = 9 → x = 1 So 0.999... repeating is the same as 1.
When multiplying a decimal by a decimal multiply as with what numbers?
The answer depends on the decimal numbers: there is no simple answer if one (or both) of the decimals is a non-terminating number.
Are non terminating and non repeating number rational numbers and why?
If a number is both non-terminating andnon-repeating then it is irrational.It is called irrational because we can not convert the number in to a fraction where the denominator (the number at the bottom) is not 0.You could search for as long as you liked, but you would not find two integers which when one is divided by the other (when the bottom number is not 0 remember) that would result in a number which is both non-terminating and non-repeating.
Are decimals that do NOT terminate or repeat?
Decimals can either terminate OR repeat. One decimal does not do both. Example-- 3.059 is a terminating decimal, meaning it stops. Example-- 3.059059... is a repeating decimal, meaning it repeats. You would write that as 3.059 with a line over the 0,5, and 9 because they repeat themselves.
Are all rational numbers are terminating?
Yes, if a decimal terminates it is rational. However, decimals that repeat with a definite pattern, such as 8.2121212121..., would also be rational.All terminating decimals are rational. For example, 0.1259 is the same as the rational number 1259 / 10000.Both terminating decimals and repeating decimals are rational numbers.yes!let x be a real number with k digits after the decimal. then x*10k and 10k are integers, and (x*10k) / (10k) = x. therefore xis rational.
