0
Still curious? Ask our experts.
Chat with our AI personalities
Devin
Ross
FranAdd your answer:
Earn +20 pts
Are repeating decimal irrational?
No.Repeating decimals are rational.To convert a repeating decimal to a fraction, put the repeating digit(s) over the same number of 9s and simplify:examples.0.333...It has one repeating digit (3) so put it over one 9 (9) to get 3/9 which can be simplified by dividing top and bottom by 3 (the hcf of 3 and 9) to get 1/3. Thus: 0.333... = 1/30.181818...It has two repeating digits (18) so put them over two 9s (99) to get 18/99 which can be simplified by dividing top and bottom by 9 (the hcf of 18 and 99) to get 2/11. Thus: 0.181818.... = 2/11
How do you show that a decimal is repeating?
To show that a decimal number is of a repeating nature, simply insert a horizontal bar over the numerals that are repeating. When typing, you may also underline the repeating digits or place them in parentheses.A few examples:1/3 = 0.33333333 = 0.(3)1/6 = 0.16666666 = 0.1(6)1/11 = 0.09090909 = 0.(09)1/24 = 0.04166666 = 0.041(6)
What is 11 over 50 as a decimal?
0.2211/50 as a decimal is 0.22
What is 11 over 12 as a decimal?
Expressed as a decimal, 11/12 is equal to 0.916 recurring (that is, 0.916666...)
What is 11 over 10 as decimal?
11/10 = 11 ÷ 10 = 1.1
