Question

Choose the best description for the real number 34 over 3.

Answer 1

Answer:

Option: C is the correct answer.

  C.    Rational, because it is a fraction.

Step-by-step explanation:

Rational number--

A number which can be represented in the form of p/q where p belongs to integers and q belongs to natural numbers.

We are given a number as:

    $=\dfrac{34}{3}=11.3333$

Since 34 and 3 do not have any common factor other than 1.

Hence, the number is a rational number.

Since the numerator i.e. p=34 belongs to integers.

and the denominator i.e. q=3 belongs to natural numbers.

Also, the decimal expansion is a non-terminating decimal since it does not end.

Answer 2

Hello!

First of all let's eliminate the answers that do not make sense. For A. numbers are NOT irrational because they are a fraction. Numbers are also not irrational because they are a repeating number. C and D are both correct as fractions and terminating decimals are both rational numbers.

34/3≈11.33333333

By using a certain formula you can convert repeating decimals to a fraction. But most people know that .3333333 is 1/3. This gives us 11 1/3 as our answer. So what does it match? It is not a terminating decimal. It repeats but can be written as a fraction. Therefore our answer is C) Rational, because it is a fraction.

I hope this helps!