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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.
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.
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.
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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