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No, Natural numbers are defined as non-negative integers: N = { 0, 1, 2, 3, 4, ... }. Some exclude 0 (zero) from the set: N * N = \{0} = { 1, 2, 3, 4, ... }.
A rational number is the ratio or quotient of an integer and another non-zero integer: Q = {n/m | n, m ∈ Z, m ≠ 0 }.
E.g.: -100, -20¼, -1.5, 0, 1, 1.5, 1½ 2¾, 1.75
This means 1 is a rational number and a natural number. Basically anything with a fraction, negative, decimal, or imaginary number in it is not a natural number.
Wiki User
∙ 11y ago
Wiki User
∙ 10y agoYes.
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Is every rational number a natural number?
No. 1/2 is a rational number but it is not a natural number.
Is every whole number a natural integer and a rational number?
Every whole number is rational and an integer. But the "natural" numbers are definedas the counting numbers, so the negative whole numbers wouldn't qualify.No and yes: it is not a natural number but it is a rational number.
Is every real number is rational?
No. Every real number is not a natural number. Real numbers are a collection of rational and irrational numbers.
Is every rational number a whole number?
No. Every rational number is not a whole number but every whole number is a rational number. Rational numbers include integers, natural or counting numbers, repeating and terminating decimals and fractions, and whole numbers.
Why every irrational number is also a rational number but not every rational number is a natural number?
Every irrational number is NOT a rational number. For example, sqrt(2) is irrational but not rational. A natural number is a counting number or a whole number, such as 1, 2, 3, etc. A rational number is one that can be expressed as a ratio of two whole numbers, which may be positive or negative. So, -2 is a rational number but not a counting number (it is an integer, though). Also, 2/3 is a rational number but not a whole, counting number or a natural number.
Can every natural number be an irrational number?
No because they are rational numbers
Can rational numbers be placed on the number line?
well every integer fraction whole number natural number are rational number's surely rational numbers are represented on a number line and as rational numbers are the real numbers
Are natural numbers whole numbers and integers also rational numbers?
Yes. Every whole number and every whole negative number and zero are all integers.
Is every integer a rational number or is every rational number an integer?
Every integer is a rational number.
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.
What real number is both integer and a natural number?
Real numbers consist of all numbers except complex numbers. Every integer is a natural number but every rational number is not a natural number as well as an integer. So, the answer to the question is integer.
What is the order from largest to smallest for whole number integers rational numbers natural number irrational numbers and real numbers?
Such numbers cannot be ordered in the manner suggested by the question because: For every whole number there are integers, rational numbers, natural numbers, irrational numbers and real numbers that are bigger. For every integer there are whole numbers, rational numbers, natural numbers, irrational numbers and real numbers that are bigger. For every rational number there are whole numbers, integers, natural numbers, irrational numbers and real numbers that are bigger. For every natural number there are whole numbers, integers, rational numbers, irrational numbers and real numbers that are bigger. For every irrational number there are whole numbers, integers, rational numbers, natural numbers and real numbers that are bigger. For every real number there are whole numbers, integers, rational numbers, natural numbers and irrational numbers that are bigger. Each of these kinds of numbers form an infinite sets but the size of the sets is not the same. Georg Cantor showed that the cardinality of whole numbers, integers, rational numbers and natural number is the same order of infinity: aleph-null. The cardinality of irrational numbers and real number is a bigger order of infinity: aleph-one.
