Rational,Irrational,Natural,Integer Property Calculator

June 2024 · 2 minute read
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Determine characteristics for sqrt


Natural Number Test

Counting numbers > 0: 1,2,3,4,5,...

Since sqrt is not both positive and a counting number, sqrt is not a natural number

Whole Number Test

Whole Numbers are positive numbers

They include 0

They have no decimal or fractional parts

Since sqrt >= 0 and it is an integer, sqrt is a whole number

Integer Test

Integers have no fractions or decimals

-5,-4,-3,-2,-1,0,1,2,3,4,5,...

sqrt is not an integer

Rational Number Test

Check for integer or decimal

Rationals = a/b

where a and b are integers<

and b ≠ 0.

Irational Number Test

They do not form a ratio between two integers

They are not an imaginary number.

Imaginary Number Test

Test for square root of a negative

Since sqrt is not the square root of a negative number, it is not imaginary

Final Answers

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How does the Rational,Irrational,Natural,Integer Property Calculator work?

Free Rational,Irrational,Natural,Integer Property Calculator - This calculator takes a number, decimal, or square root, and checks to see if it has any of the following properties:
* Integer Numbers
* Natural Numbers
* Rational Numbers
* Irrational Numbers Handles questions like: Irrational or rational numbers Rational or irrational numbers rational and irrational numbers Rational number test Irrational number test Integer Test Natural Number Test
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What 4 formulas are used for the Rational,Irrational,Natural,Integer Property Calculator?

A number is natural if it is one of the counting numbers (greater than 0), i.e., 1,2,3,4,5,...
Whole Numbers are positive numbers, including 0, with no decimal or fractional parts
Integers are a whole number (no fractions or decimals) positive or negative including the number 0, ...,-5,-4,-3,-2,-1,0
Imaginary numbers are the square root of a negative number

For more math formulas, check out our Formula Dossier

What 7 concepts are covered in the Rational,Irrational,Natural,Integer Property Calculator?

imaginary numbera real number multiplied by the imaginary unit i, which is defined by its property i2 = -1.integera whole number; a number that is not a fraction
...,-5,-4,-3,-2,-1,0,1,2,3,4,5,...irrational numbera number that can NOT be expressed as the quotient or fraction p/q of two integersnatural numberthe positive integers (whole numbers)
1, 2, 3, ...rational numbera number that can be expressed as the quotient or fraction p/q of two integersrational,irrational,natural,integer propertywhole numbernumbers that include natural numbers and zero
{0, 1, 2, 3, ...}

Example calculations for the Rational,Irrational,Natural,Integer Property Calculator

Rational,Irrational,Natural,Integer Property Calculator Video


Rational,Irrational,Natural,Integer Property Infographic

Rational,Irrational,Natural,Integer Property

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