In order to determine if a rational number can be expressed as a repeating decimal, we need to determine if the denominator can be expressed as a power of 2 or a power of 5. If the denominator can be factored into only 2's and 5's, then the decimal will terminate. Otherwise, the decimal will repeat.
The denominator of 7/8 is already factored into powers of 2, so the decimal will terminate. $\frac{7}{8} = 0.875$.
The denominator of 5/12 can be factored into $2^2$ and $3$ , so the decimal will repeat. $\frac{5}{12} = 0.41666666\ldots$.
The denominator of 17/25 can be factored into $5^2$, so the decimal will terminate. $\frac{17}{25} = 0.68$.
The denominator of 31/40 can be factored into $5 \cdot 2^3$, so the decimal will repeat. $\frac{31}{40} = 0.775$.
Therefore, of the given rational numbers, $\boxed{\frac{5}{12}}$ and $\boxed{\frac{31}{40}}$ can be expressed as repeating decimals.
Which of the following rational numbers can be expressed as a repeating decimal: 7/8, 5/12, 17/25, or 31/40?
9 answers
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yall the answer is 5/12 trust me
BEE IS CORRECT THANK YOU!!!!!!!
Express 713 as a repeating decimal. Mark the repeating digits with a bar.
Note: You will find the option to add a bar above text in the Geometry (∠
) keyboard.
(1 point)
0.538461
Note: You will find the option to add a bar above text in the Geometry (∠
) keyboard.
(1 point)
0.538461
Convert 0.8¯¯¯ to a rational number.(1 point)
8/9
8/9
To convert 0.82¯¯¯¯¯ to a rational number, you would set x equal to 0.82¯¯¯¯¯ and then multiply both sides of the equation by what number?(1 point)
100
100
How do you show the group of digits that repeat in a repeating decimal? (1 point)
Responses
by underlining them
by putting them in parentheses
by putting a bar over them
by printing them in italics
Responses
by underlining them
by putting them in parentheses
by putting a bar over them
by printing them in italics