Terrence says pi is a rational number since it is the ratio of a circle's circumference to its diameter. Why is
Terrence incorrect?
(A
Pi cannot be written as a ratio of integers even if it represents a different ratio.
(B
Terrence is confusing the definition of rational numbers with the definition of
whole numbers.
(C
Pi can be written as a decimal with repeating digits.
(D
Terrence is confusing pi and square root of 2

Respuesta :

Answer:

(A) Pi cannot be written as a ratio of integers even if it represents a different ratio.

Step-by-step explanation:

A rational number is can be expressed as the quotient of two integers. It can either be a number with or without a decimal part when converted to decimals.

C = 2[tex]\pi[/tex]r and D = 2r

                C = [tex]\pi[/tex]D

Thus,          [tex]\pi[/tex] = [tex]\frac{C}{D}[/tex]

                     = [tex]\frac{22}{7}[/tex]= 3.142857143...

Terrence was incorrect because Pi is an irrational number which cannot be represented by a simple fraction without approximation.

Answer:

(A) Pi cannot be written as a ratio of integers even if it represents a different ratio.

Step-by-step explanation:

Hope this helps!

Have a great day! :)