Which number has a repeating decimal form?
A. \sqrt(15)
B. (11)/(25)
C. (3)/(20)
D. (2)/(6)
test them on your calculator ... or use the one built into windows
A repeating decimal form is a decimal number that has a repeating pattern of digits after the decimal point.
Using this information, let's examine each option:
A. √15 is an irrational number, which means it cannot be written as a terminating or repeating decimal. Therefore, option A is not the correct answer.
B. (11)/(25) can be simplified to the decimal form 0.44. Since this decimal terminates, option B is not the correct answer.
C. (3)/(20) can be simplified to the decimal form 0.15. Since this decimal terminates, option C is not the correct answer.
D. (2)/(6) can be simplified to the decimal form 0.3, which does not repeat any decimal digits. Therefore, option D is not the correct answer.
Based on the analysis above, none of the given options have a repeating decimal form.
To determine which number has a repeating decimal form, we need to check the decimal representation of each option.
A. √15 is an irrational number, which means it cannot be expressed as a finite or repeating decimal. Therefore, option A does not have a repeating decimal form.
B. To see if (11)/(25) has a repeating decimal form, divide 11 by 25 using long division or a calculator.
0.44
The result, 0.44, does not have a repeating part and terminates. Therefore, option B does not have a repeating decimal form.
C. To check if (3)/(20) has a repeating decimal form, divide 3 by 20.
0.15
The result, 0.15, does not have a repeating part and terminates. Therefore, option C does not have a repeating decimal form.
D. To determine if (2)/(6) has a repeating decimal form, divide 2 by 6.
0.333...
The result, 0.333..., has a repeating part of 3. Therefore, option D has a repeating decimal form.
Thus, the correct answer is Option D.