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25. Find an integer between 30 and 64 as a whole number, 5 integer, rational number, irrational number, or real number. Write all the names that apply. 20. Classify 4 . 3 26. Arrange the numbers in order from greatest to least. 150 , 11 4 , 4 9 Original content Copyright by Houghton Mifflin Harcourt. Additio.

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√2 is irrational. Now we know that these irrational numbers do exist, and we even have one example: √2. It turns out that most other roots are also irrational.

Rational numbers (including integers, whole numbers, natural numbers) and irrational numbers are the subsets of real numbers.

Specifically, the Greeks discovered that the diagonal of a square whose sides are 1 unit long has a diagonal whose length cannot be rational. By the Pythagorean Theorem, the length of the diagonal equals the square root of 2. So the square root of 2 is irrational!

√15 is an irrational number and a real number. The number π, whose decimal representation begins 3.14159… is irrational and real.

Non-real numbers are also called imaginary numbers. Imaginary numbers possess an imaginary component, which exists after taking the square root (or any even root) of a negative number. Imaginary components are denoted by the letter "i". An example of an imaginary number is 3"i".

Five (5) Subsets of Real Numbers The Set of Natural or Counting Numbers The set of the natural numbers (also known as counting numbers) contains the elements. ... The Set of Whole Numbers. ... The Set of Integers. ... The Set of Rational Numbers. ... The Set of Irrational Numbers

The square root of a perfect square number is a real number. The square roots of a positive number is a real number. The square root of a negative number is an imaginary number. Therefore, other than the square root of negative numbers, the square root of positive numbers is always a real number.

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