You can determine this by putting the rational numbers in decimal form.
A rational number like 1/2 will have a terminating decimal answer = 0.5
A rational number like 7/11 will have a terminating decimal answer = 0.636 where 36 is repeating.
The correct options are A) Irrational numbers are non-terminating and C) Irrational numbers are non-repeating.
Consider the provided information.
Irrational numbers are numbers that cannot be written in form, where . The numbers in the decimal continue forever, without repeating.
This means that irrational numbers must be non-repeating and non-terminating.
Therefore the correct option are A and C.
Match the vocabulary words to the proper definition.
1.a decimal that ends
2.a decimal whose digits to the right of the decimal point repeat indefinitely
3.a set of three dots at the end of a number used to indicate that the number will infinitely continue in the same pattern
4.a horizontal bar used in mathematical notation; in fractions, it is the bar that separates the numerator from the denominator; in repeating decimals, it indicates a group of repeating numbers
5.a number that can be written as a ratio in fraction form
6.a number that, when in decimal form, does not terminate or repeat
5/11 is a repeating rational number because it doesn't have infinite non-repeating numbers to the right of the decimal point.
5/11 = .45454545