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โˆ™ 2012-06-04 10:07:36
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Is an irrational number always a non-repeating and non-terminating decimal number?
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Related questions

Is the square root of a decimal always an irrational numbers?

No, it is not.


If a number contains decimal places is it always an irrational number?

No, that is false.


What is the decimal expansion of an irrational number?

A decimal expansion means to write out the base 10 digits of a number. Because irrational numbers do not have a closed form, the decimal expansion will always be an approximation. Consider the irrational number pi, which has the following decimal expansion: 3.14159265... Of course there are more digits to pi than that, which is denoted by the "...". It is sadly impossible to list ALL of the digits of an irrational numbers, since if there were a finite number of digits, you could express it as a fraction, which would not be irrational.


Are irrational numbers always decimal numbers?

Both rational and irrational numbers can be expressed with decimals. If the number is irrational, it will have an infinite number of decimal digits, and there will be no periodic repetition. For example, 1/7 (which is rational) is 0.142857 142857 142857... The same sequence of six digits repeats over and over again. In irrational numbers, this is not the case.


Is 25.8125 irrational?

If the number of digits after the decimal point is finite, then the number will always be RATIONAL.


Is the sum of a rational and irrational number rational or irrational?

It is always irrational.


Is the sum of a rational number and an irrational number always irrational?

Yes, always.


Is the difference of a rational number and an irrational number always ratioal?

No, it is always irrational.


A repeating decimal is an irrational number?

Not always because any decimal that can be expressed as a fraction is a rational number as for example 0.33333.....repeating can be expressed as 1/3 which is a rational number


Is 7.11 rational or irrational?

A number with a finite number of decimal digits is always rational. (If the number of decimal digits is infinite, the number is rational only if there is a repeating pattern.)


If you divide a rational number by an irrational number is the result irrational?

It is not always irrational.


The sum of a rational number and an irrational number?

Such a sum is always irrational.

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