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What are 5 examples of non terminating repeating decimals?
terminating decimals repeating decimals
What are 5 examples of non-terminating decimals?
Pi, the square root of 7, e, 1/3, and ______ irrational numbers, square roots, repeating decimals
What can you conclude about rational numbers that have terminating decimals?
Their denominators have prime factors of 2 or 5.
When written as a fraction terminating decimals have a denominator that is a product of which factors?
The only prime factors are 2 and 5.
What do the dominators of the terminating decimals have in common?
In their simplest form the denominators have no prime factor other than 2 or 5.
What are 5 examples of non terminating repeating decimals?
terminating decimals repeating decimals
What are 5 examples of non-terminating decimals?
Pi, the square root of 7, e, 1/3, and ______ irrational numbers, square roots, repeating decimals
Examples of non terminating decimals?
sqrt(2), sqrt(3), sqrt(5), 2+sqrt(3) pi, e
What can you conclude about rational numbers that have terminating decimals?
Their denominators have prime factors of 2 or 5.
When written as a fraction terminating decimals have a denominator that is a product of which factors?
The only prime factors are 2 and 5.
What do the dominators of the terminating decimals have in common?
In their simplest form the denominators have no prime factor other than 2 or 5.
How are fractions are related to repeating decimals and terminating decimals?
If the denominator of the fraction has any prime factor other than 2 or 5, then it has a decimal representation with a repeating sequence of digits. If the denominator is a product of any number of 2s or 5s then it can be represented as a terminating decimal.
Is there a simplified fraction and its reciprocal that both can be expressed as terminating decimals?
There is at least one example: 4/5 = 0.8 5/4 = 1.25
How fractions are related to repeating decimals and terminating decimals?
All rational fractions - one integer divided by a non-zero integer - give rise to repeating or terminating decimals. If, for the fraction in its simplest form, the denominator can be expressed as a product of powers of only 2 and 5 then the decimal will terminate. If the denominator has any prime factor other than 2 or 5 the decimal will be recurring. All non-rational fractions will have infinite, non-recurring decimal representations.
What is a terminating fraction?
To sum this answer up you half to turn the fraction into a decimal and if it ends that is terminating but if it keeps going it is called a repeating decimal EXAMPLES Terminating- 5/10=.5 Repeating- 1/3=.3333 (bar notation over the 3)
How are terminating decimals and repeating decimal reflected in fractions?
If a fraction, in its simplest form has a denominator whose only prime factors are 2 or 5, then the fraction is terminating. If the denominator has any other prime factor then the decimal is repeating.
What kinds of decimals will fractions turn into?
Rational numbers will become either a terminating decimal (if the denominator has prime factors of 2 and/or 5 only) or a decimal that recurs one or more digits (possibly after one or more digits that do not recur). Examples: 1/2 = 0.5 (terminates) 1/3 = 0.333.... (3 recurs) 1/6 = 0.1666.... (6 recurs after the initial non-recurring 1) 1/7 = 0.142857142857142857.... (142857 recurs)
