contestada

Which of the following numbers can be expressed as non-terminating decimals?

8 over 9, 3 over 5, 1 over 6, 7 over 2

3 over 5 and 7 over 2
8 over 9 and 1 over 6
1 over 6 and 3 over 5
8 over 9 and 7 over 2

Respuesta :

Edufirst

Answer: 8 over 9 (8/9) and 1 over 6 (1/6)


Explanation:


  • There are three types of decimals:

        - Terminating decimals.

        - Non-terminating decimals with periodic digits (some digits repeats as per a fixed pattern).

       - Non-terminating decimals with non-periodic digits (there is not a pattern of repetition).


  • Both terminating decimals and non-terminating decimals with periodic digits are rational numbers, which means that they may be written as a fraction (the ratio of two integer numbers).

       For instance:

       1/5 = 0.5

       1/3 = 0.33333... (the number 3 is repeated indefinetely, so this is a non-terminating decimal)


  • Non-terminating decimals with no repetition pattern are irrational numbers (they cannot be written as the ratio of any integer numbers)

      For instance:

       π = 3.14159 ....

       √2 = 1.41421356 ...


To determine wheter a fraction is represented by a terminating or non-terminating decimal you should divide the numerator by the denominator:


So let's do it for all the numbers given in the question:


  • 8 over 9 = 8/9 = 8÷9 = 0.88888... The number 8 is repeated indefinitely so this is a non-terminating decimal.

  • 3 over 5 = 3/5 = 3÷5 = 0.6 (terminating decimal)

  • 1 over 6 = 1/6 = 1÷6 = 0.16666... (non terminating decimal)

  • 7 over 2 = 7/2 = 7÷2 = 3.5 (terminating decimal)

Answer:

it is b or the second one. it is 8 over 9 and 1 over 6

Step-by-step explanation:

Otras preguntas