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Anonymous Posted on Oct 12, 2014

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

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kakima

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  • Computers & ... Master 102,366 Answers
  • Posted on Oct 13, 2014
kakima
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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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Related Questions:

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1answer

What formulas contain both a rational number and an irrational number

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.
0helpful
1answer

Is all real numbers are rational?

No. In fact, there are many more irrational real numbers than there are rational real numbers.
0helpful
2answers

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.
0helpful
1answer

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.
Any number that can be written as a ratio of two integers numbers is by definition a rational number ( it is a ratio---rational).
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.
Examples: PI, sqRT(2), Sqrt(3), SQRT(5), e. There is an infinite number of them.
1helpful
2answers

Rational numbers

8.98=898/100
Both numerator and denominator are multiples of 2:The fraction can be simplified further. Simplifying, you get the irreducible form of the fraction as t 449/50.
0helpful
1answer

Some irrational number are rational numbers

False. A number is either rational or irrational; it cannot be both.
0helpful
1answer

What are rational numbers

A rational number that can written as the RATIO of two whole numbers.
Examples:
1. Any whole number (-1, +13, -57) because they can be written as -1/1, 13/1 , -57/1.
2.Any number of the form a/b where a and be are integers (whole numbers) 1/3 , 17/(-9), 27/11, -17/9
13.572 572 572... where the sequence 572 (called the period) repeats for ever
-29.0123478478 478...
Numbers such as the square roots of numbers that are not perfect squares are not rational. They are irrational numbers. SQRT(2), SQRT(5), SQRT(6), SQRT(7), SQRT(8), SQRT(10), PI, e the base of natural logarithm, sin(22 degrees), cos(58),
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I need quick IXL medals

Is the number 2 +
18 rational or irrational? rational
irrational Submit




1helpful
1answer

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.
2helpful
1answer

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!
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