How many digits are in the repeating cycle of 1727?(1 point)
To determine the repeating cycle of a fraction, we can use a long division method. When we divide 17 by 27, we get a repeating decimal representation of 0.629629629... The repeating cycle is 629, which consists of 3 digits. Therefore, the repeating cycle of 17/27 contains 3 digits.
To determine if a rational number can be expressed as a repeating decimal, we need to check if the denominator has any prime factors other than 2 or 5.
- The fraction 7/8 has a denominator of 8, which is divisible only by 2. Therefore, it can be expressed as a terminating decimal.
- The fraction 5/12 has a denominator of 12, which is divisible by both 2 and 3. Therefore, it can be expressed as a repeating decimal.
- The fraction 17/25 has a denominator of 25, which is divisible only by 5. Therefore, it can be expressed as a terminating decimal.
- The fraction 31/40 has a denominator of 40, which is divisible by both 2 and 5. Therefore, it can be expressed as a terminating decimal.
From the given options, the only fraction that can be expressed as a repeating decimal is 5/12.
Since the denominator of the rational number is 7, the repeating cycle of the decimal can be up to six digits long.
The repeating cycle of 1727 is 1 digit long.
How many digits are in the repeating cycle of 17/27?(1 point)
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Which of the following rational numbers can be expressed as a repeating decimal: 7/8, 5/12, 17/25, or 31/40?(1 point)
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)
To express 713 as a repeating decimal, we need to perform division.
First, divide 713 by the denominator, which is 1, to get the quotient 713.
Next, we need to find the repeating part. To do this, we note that the remainder is 1, and it repeats every time. Thus, the repeating part is 1.
Therefore, 713 as a repeating decimal can be expressed as 713.1 with the bar over the digit 1.
How do you show the group of digits that repeat in a repeating decimal?(1 point)
Responses
by underlining them
by underlining them
by printing them in italics
by printing them in italics
by putting them in parentheses
by putting them in parentheses
by putting a bar over them
The correct answer is:
by putting a bar over them