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Terminating Recurring Decimal?
Decimals can be recurring. Decimals can be terminating. They can't be both.
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.
Is the decimal form of an irrational number a repeating decimal?
An irrational number must not have a repeating sequence. If we have a number, such as 0.333333...., we can turn this into a rational number as such.Let x = 0.333333......, then multiply both sides by 10:10x = 3.333333......Now subtract the first equation from the second, since the 3's go on forever, they will cancel each other out and you're left with:9x = 3. Now divide both sides by 9: x = 3/9 which is 1/3, a rational number equal to 0.3333333....If a number can be expressed as the ratio a/b, where a and b are integers (with the restriction that b not equal zero), then the number is rational. If you cannot express the number as such, then it is irrational.
What is 0.96 repeating in a fraction?
0.96 repeating can be represented as a fraction by multiplying both sides of the decimal by 100. This gives us 96.96 repeating. We can subtract the original decimal from the new one to get 99. Multiply both sides of this equation by 1/99 and simplify to get the fraction 96/99.
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.
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.
Is 4.8 a rational number?
48 is rational. It can be written as a/b where a and b are integers and b is not = 0 It is written as 84/1 or 96/2. It is also a terminating/repeating decimal. (In this case, terminating decimal). Real numbers can only be rational or irrational, not both. Therefore it is only rational, not rational and irrational. b.t.w. It is also a natural number, whole number, integer, rational number, real number and complex number.
