Question

Choose the best description for the real number 34 over 3 .
Group of answer choices

A Irrational, because it is a fraction

B Irrational, because it is a repeating decimal

C Rational, because it is a fraction

D Rational, because it is a terminating decimal

Answer 1

Given : the real number 34 over 3

To find : Choose the best description

Irrational, because it is a fraction

Irrational, because it is a repeating decimal

Rational, because it is a fraction

Rational, because it is a terminating decimal

Solution:

Rational number is of the form p/q

where p & q are integers and q ≠ 0

Comparing 34/3  with  p/q

p = 34  integer

q = 3   integer ≠ 0

Hence 34/3  is a rational number

Rational, because it is a fraction  is correct option

34/3  = 11.33.........  ( bar on 3)

hence its not terminating decimal

Rational, because it is a terminating decimal  is not correct option .

Irrational, because it is a fraction -  FALSE as number is rational

Irrational, because it is a repeating decimal -  FALSE as number is rational

Rational, because it is a fraction  is correct option

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