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What formulas contain both a rational number and an irrational number

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The best known irrational number is Pi, so, any formula with that in it it, like the formula for

circumference of a circle - Pi * D
area of a circle - Pi * R^2
volume of a sphere - 4/3 * Pi * R^3

Here D and R should be rational numbers, eg integers, to meet your definition.

Posted on Dec 02, 2014

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Is all real numbers are rational?


No. In fact, there are many more irrational real numbers than there are rational real numbers.

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How do I tell wether a number is rational or irrational?


If a number can be expressed as a ratio of two whole numbers then it's rational.
Alternatively, if a number can be expressed in decimal with a finite number of digits or as a repeating decimal then it's rational.

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Is 2.33 a rational number or irrational?


It's a rational number since it can be represented as a ratio of two whole number, in this case 233 and 100.

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Are all integers rational numbers


All integers are rational numbers. The easiest way to see that is to write an integer as a fraction with 1 as a denominator; 4=4/1=8/2; 5=5/1.
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Any decimal number with a periodic decimal part can be cast as a fraction, so it is rational.
An irrational number is a number that cannot be written as a fraction.
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Rational numbers


8.98=898/100
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Some irrational number are rational numbers


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Nov 02, 2013 | Computers & Internet

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0.45,5/12,0,247, explain why each number is a rational number or an irrational number.


They're all rational numbers since they can be expressed as the ratio of two whole numbers.

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Define the ff. digits natural # whole # national # irrational # real #??


Sounds like a "school homework" question.

Natural - numbers like 1, 2, 3, 4, ...

Whole - numbers without fractional parts, e.g., '1/2' is not a whole number

National - some countries have superstitions, e.g., American high-rises have no 13th floor,
and some Asian cultures favour street-addresses that contain many '6' characters.

Real - numbers that have a fractional part, e.g., '123.456'.

Rational -- real numbers that can exactly be expressed as a number with a finite-length fraction,
e.g., 1/4, 1/5, 1/8, 1/10, 0.123, 0.45, 0.6.

Irrational -- numbers that cannot be exactly expressed,
e.g. 1/3, 1/7, 1/11, the circumference of a circle divided by its diameter,
no matter how many digits you use.

Jun 15, 2011 | Computers & Internet

1 Answer

Example of rational and irrational set of numbers chart


You're looking for a website with examples of rational and irrational numbers? Here's an extensive one:
  1. Rational: Link
  2. Irrational: Link
Or are you just asking for a few examples?
  1. Rational: 5, 2/4, -34
  2. Irrational: ?2, ?
Hope this helps!

Jun 14, 2011 | Computers & Internet

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