is 7/3 a real number

5 answers

Yes, \( \frac{7}{3} \) is a real number. In fact, it is a rational number because it can be expressed as the quotient of two integers (7 and 3). Real numbers include both rational numbers (like \( \frac{7}{3} \)) and irrational numbers.

is 22/5 a whole number

No, \( \frac{22}{5} \) is not a whole number. It is a rational number that can be expressed as 4.4 in decimal form. Whole numbers are the set of non-negative integers (0, 1, 2, 3, ...), and since \( \frac{22}{5} \) is not an integer, it does not qualify as a whole number.

Which of the following describes 76. select all that apply
rational
natural
integer
irrational

The number 76 can be described as follows:

  • Rational: Yes, because it can be expressed as the fraction \( \frac{76}{1} \) (it is the ratio of two integers).
  • Natural: Yes, because it is a positive whole number (natural numbers are the set of positive integers: 1, 2, 3, ...).
  • Integer: Yes, because it is a whole number and includes negative and positive whole numbers, as well as zero.
  • Irrational: No, because irrational numbers cannot be expressed as a fraction of two integers.

Therefore, the applicable descriptions for 76 are: rational, natural, and integer.

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