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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 are decimals that have a finite number of digits?
Decimals that have a finite number of digits are known as terminating decimals. These numbers can be expressed as fractions where the denominator is a power of 10. For example, 0.75 and 0.5 are terminating decimals, as they can be written as 75/100 and 5/10, respectively. In contrast, non-terminating decimals, such as 0.333..., do not have a finite number of digits.
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 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 are decimals that have a finite number of digits?
Decimals that have a finite number of digits are known as terminating decimals. These numbers can be expressed as fractions where the denominator is a power of 10. For example, 0.75 and 0.5 are terminating decimals, as they can be written as 75/100 and 5/10, respectively. In contrast, non-terminating decimals, such as 0.333..., do not have a finite number of digits.
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.
