math :] 2

Is 14/3 a rational number? I think so... but I'm confused because if you divide 14 by 3 then the decimal part is .66666666666666666666667. Is that considered a repeating decimal? If it is, then it's a rational number. I'm just doubting because of the 7 at the end. THANKS SO MUCH!!! =D

  1. 👍
  2. 👎
  3. 👁
  1. nothing to be confused about.
    Your calculator has a build-in function which rounds off the last decimal it can display, that's why it shows up as a 7

    When you do a long division, the way it was taught to you in earlier grades, the 6 will keep on repeating forever.

    1. 👍
    2. 👎
  2. So is it a national number or what?

    1. 👍
    2. 👎
  3. I meant rational, so sorry.

    1. 👍
    2. 👎
  4. yes it is a rational number since it can be written as a fraction, or a RATIO.

    1. 👍
    2. 👎
  5. thank you so muchhhhhhhh. =]

    1. 👍
    2. 👎
  6. Ah, not to beat a dead horse here but let's make sure the cart is before that horse. The real point is that 14/3 is a RATIO of whole numbers as Reiny capitalized.
    That is what makes it a rational number.
    The fact that it is a repeating decimal means that it can be written as a ratio, and therefore is rational.
    In other words
    If ratio, then rational
    If repeating decimal, then ratio
    Therefore
    If repeating decimal, then rational

    I suspect shortly you will be shown how to find the ratio that corresponds to any repeating decimal.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Alegbra 2

    Use the rational root theorem to list all possible rational roots for the equation. X^3+2x-9=0. Use the rational root theorem to list all possible rational roots for the equation. 3X^3+9x-6=0. A polynomial function P(x) with

  2. Math

    identify all the sets to which the number belongs. choose from rational number, irrational number, whole number, and integer. 0.62478916532… A. rational number B.irrational number C.integer, rational number** D.whole number,

  3. Algebra

    Which of the following statements is false? The sum of two rational numbers is always rational. The sum of a rational number and an irrational number is always rational. The product of a nonzero rational number and an irrational

  4. Math

    1. Estimate The Value Of (Square Root 52) to the nearest whole number A. 9 B. 8 C. 7~~~ D. 6 2. Identify all the sets to which the number 3.1214122144 Belongs A. Rational B. Irrational~~~ C. integer, Rational D. Whole Number,

  1. Algebra

    Which number can be added to a rational number to explain that the sum of two rational numbers is rational? A) π B) 8 C) √2 *** D) √5

  2. Math

    Identify all the sets to which the number belongs. Choose from rational number, irrational number, whole number, and integer. 0.23333... A. rational number B. irrational number C. integer, rational number D. whole number, integer,

  3. Pre Algebra

    1.Which of the following numbers is rational? A \frac{4}{5} B √27 C 4.02002000200002... D √31 2.What type of number is shown below? 0.3133113331... A repeating decimal B rational C irrational D terminating 3.Select all the

  4. math

    True or false 1.) The set of integers contains the set of rational numbers 2.)Every repeating decimal is a rational number 3.)Every square root is an irrational number 4.) the set of whole numbers contains the set of rational

  1. Math Check Please Thank You

    1. Which of the following numbers is an example of an integer? ­15 * 0.252525 . . . 3/5 (fraction) Square root of 7 2. Which statement is false? Every integer is a real number. The number zero is a rational number. Every

  2. Mathematics

    True or false (false) Every integer is a rational number. (false) Every Rational number is a whole number. (true) Every natural number is a whole number. (true) 3 is an element of the rational numbers. Please check my anwsers and

  3. math check please

    1.Write 4x4x4x4x4 as a power of 4. Answer: 4^5 2. Evaluate. 72 divide 8-9 divide 3 Answer: 0 3. Give the place value for the indicated digit 8 in the number 138,350 Answer: Thousands 4. Fencing a rectangular field that measures 37

  4. Math

    Identify all the sets to which the number belongs. Choose from rational number, irrational number, whole number, and integer. 1.256 A. rational number B. irrational number C. integer, rational number D. whole number, integer,

You can view more similar questions or ask a new question.