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Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction. All natural and whole numbers are rational.
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Is 11.25 repeating rational?
It is a rational number because it can be expressed as a fraction
Is the square root of 25 rational irrational whole natural or integer?
The square root of 25 is 5, which is a whole number, an integer, a natural number and a rational number.
Explain why every natural number is also a rational number but not every rational number is a natural number?
The natural numbers (ℕ) are the counting numbers {1, 2, 3, ...} (though some definitions also include zero: 0) which are whole numbers with no decimal part. Every rational number (ℚ) can be expressed as one integer (p) over another integer (q): p/q where q cannot be 0. The rational numbers can be converted to decimal representation by dividing the top number (p) by the decimal number (q): p/q = p ÷ q. When q = 1, this produces the rational numbers: p/1 = p ÷ 1 = p which is just an integer; it could be one of {[0,] 1, 2, 3, ...} - the natural numbers above: thus all natural numbers are rational numbers. When q = 2, and p = 1, this produces the rational number 1/2 = 1 ÷ 2 = 0.5 which is not one of the natural number above - so some rational numbers are not natural numbers, thus all rational numbers are not natural numbers. Thus ℕ ⊂ ℚ (the set of natural numbers is a proper subset of the set of rational numbers).
Every natural number is an irrational number?
Close. But to make that statement correct, three letters must be deleted:Every natural number is a[n ir]rational number.
Can a rational number be positive?
a rational number is any number that can be expressed as p/q where p and q are both integers. Since integers can most definitely be positive-- you might know them as the set of Natural numbers-- then yes, a rational number can be positive.
