Q: Are some real number integers

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Every counting number, and the negative of it, are real, rational integers.

No, all integers are real numbers, but not all real numbers are integers. For example, 1.25 is a real number and a non-integer.No.

There is no integer which is not a real number.

Yes, all integers are considered to be real numbers.

All integers are real numbers.

Yes. Rational numbers are always the quotient of two integers. Integers are always real, and you cannot divide a real number by another real number and get an imaginary number. So, true.

Integers, odd integers, negative integers, odd negative integers, rational numbers, negative rational numbers, real numbers, negative real numbers, square roots of 1, etc.

Zero is a an integer and, since all integers are real numbers, zero is a real number.

Integers are a subset of real numbers. All integers are real numbers, but not the other way around. Real numbers, without going into great detail, are numbers that can be drawn on a standard x-y graph. This includes integers, fractions & decimals, common constants such as pi and e, etc. Taking the square root of negative number would result in an imaginary number (which are not a real numbers.) Integers are essentially whole numbers (numbers that can be written without a decimal or in fraction form).

not necessarily... An integer is a rational number, but so is any real number between consecutive integers.

A rational number is a real number which can be expressed as a division of two integers. A real number which is not rational is called irrational. Since 3.14 = 314/100 and 314 & 100 are integers it is a rational number.

An irrational number.