I need help on the questions ASAP one of the questions are
Part A
How would you classify the decimal form of
11/3?
A.
rational, non-terminating, repeating
B.
irrational, non-terminating, repeating
C.
rational, terminating, non-repeating
D.
irrational, terminating, non-repeating
Part B
How would you classify the decimal form of
7/25
A.
rational, non-terminating, repeating
B.
irrational, non-terminating, repeating
C.
rational, terminating, non-repeating
D.
irrational, terminating, non-repeating
any fraction is either repeating or terminating.
If the denominator has any factors other than 2 and 5, then it's repeating.
Hi so what is it
To classify the decimal form of a fraction, you need to understand its characteristics. Here's how you can figure it out:
Part A:
To classify the decimal form of 11/3, divide 11 by 3 using long division. You will find that the quotient is 3.6666..., with the digit 6 repeating indefinitely. This means that the decimal form of 11/3 is non-terminating (it doesn't end) and repeating (the digit 6 repeats).
So, the correct answer is A. rational, non-terminating, repeating.
Part B:
Similarly, to classify the decimal form of 7/25, divide 7 by 25 using long division. The quotient in this case is 0.28, with no repeating or non-terminating digits. It ends after two decimal places and does not repeat any digit.
Thus, the correct answer is C. rational, terminating, non-repeating.