Another name for 'rational' is "numbers that are equal to the ratio of two whole numbers". Another name for 'irrational' is "numbers that are not equal to the ratio of any two whole numbers".
Yes, by definition. A rational number is one that can be written as a ratio (hence rational) of two whole numbers. And a ratio of two whole numbers is a fraction.
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No, they are not. 1/2 is a ratio of two integers and so it is rational. But it is not a whole number.
Because any whole number, k, can be expressed in the form k/1 which is a ratio of two integers. Since it can be expressed as a ratio of two integers it is a rational number.
Another name for 'rational' is "numbers that are equal to the ratio of two whole numbers". Another name for 'irrational' is "numbers that are not equal to the ratio of any two whole numbers".
Yes, by definition. A rational number is one that can be written as a ratio (hence rational) of two whole numbers. And a ratio of two whole numbers is a fraction.
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An irrational number refers to one that can not be written as a ratio, or fraction, between two whole numbers.
No, they are not. 1/2 is a ratio of two integers and so it is rational. But it is not a whole number.
Because any whole number, k, can be expressed in the form k/1 which is a ratio of two integers. Since it can be expressed as a ratio of two integers it is a rational number.
The fact that they can be expressed as a ratio of two whole numbers (with the denominator being non-zero).
1.Find the ratio of the two numbers 2. Subtract the smaller number from the bigger number
-- Any number that can be written as the ratio of two whole numbers is a rational number.-- Any whole number can be written as the ratio of that number to ' 1 ', so it's rational.
-0.454545 is the ratio of -454,545 to 1,000,000 . Since it's the ratio of two whole numbers, it's perfectly rational.
Yes, real numbers include both positive and negative numbers. They also include whole numbers and fractional numbers, as well as irrational numbers (numbers that can't be expressed as the ratio of two whole numbers).
The golden ratio is not a ratio of two whole numbers but an irrational number. It is 0.5*(1+sqrt(5)). Because it is irrational you cannot find two whole numbers such that their ratio equals the golden ratio. All you can do is get closer and closer to it. 62/38 = 1.6315789 618/382 = 1.6178010 and so on.