Asked by ratty fatty

How many digits are in the repeating cycle of 1727?(1 point)
Answered by ratty fatty
How many digits are in the repeating cycle of 17/27?(1 point)
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Answered by ratty fatty
Which of the following rational numbers can be expressed as a repeating decimal: 7/8, 5/12, 17/25, or 31/40?(1 point)
Answered by ratty fatty
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)
Answered by ratty fatty
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
Answered by ratty fatty
How many digits long could the repeating cycle of a repeating decimal be if the denominator of the rational number is 7?(1 point)
Responses

any finite length
any finite length

up to seven digits long
up to seven digits long

up to six digits long
up to six digits long

infinitely long
infinitely long
Answered by ratty fatty
Convert 0.27¯¯¯¯¯
to a rational number in simplest form.(1 point)
Responses

127
Start Fraction 1 over 27 end fraction

2799
Start Fraction 27 over 99 end fraction

27100
Start Fraction 27 over 100 end fraction

311
Answered by ratty fatty
To convert 0.264¯¯¯¯¯¯¯¯ to a rational number, you would set x equal to 0.264¯¯¯¯¯¯¯¯ and then multiply both sides of the equation by what number?(1 point)
Responses

100
100

999
999

1,000
1,000

10
Answered by ratty fatty
If a repeating decimal has a repeating cycle of three digits, it will convert to a rational number with what denominator? (1 point)
Responses

100
100

99
99

999
999

1,000
Answered by ratty fatty
Show an example of an irrational number between 9 and 11.(1 point)
Responses

20−−√
start root 20 end root

10−−√
start root 10 end root

99−−√
start root 99 end root

100−−−√
start root 100 end root
Answered by ratty fatty
What is the least integer whose square root is an irrational number between 5 and 7?(1 point)
Responses

6
6

13
13

25
25

26
Answered by ratty fatty
Show an example of a rational number that is between 10−−√ and 11−−√.(1 point)
Responses

103
Start Fraction 10 over 3 end fraction

3.4
3.4

165
Start Fraction 16 over 5 end fraction

3.1
Answered by ratty fatty
Which irrational number is between 14−−√ and 18−−√?(1 point)
Responses

10−−√
start root 10 end root

15−−√
start root 15 end root

19−−√
start root 19 end root

13−−√
Answered by ratty fatty
How many irrational numbers are there between 11−−√ and 17−−√?(1 point)
Responses

four numbers
four numbers

six numbers
six numbers

an infinite number
an infinite number

twenty-eight numbers
Answered by Walking Polar Bear.
Express 7/13 as a repeating decimal. Mark the repeating digits with a bar.
Answer
Express 7/13 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)
Answered by Cleaver
Which of the following rational numbers can be expressed as a repeating decimal: 78, 512, 1725, or 3140?(1 point) EXplain
Answer
How many digits are in the repeating cycle of 17/27?(1 point)
Answer
covert 0.8 to a rational number
Answered by GPT 3.5
The repeating cycle of 1727 is 1 digit long.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
The correct answer is:
by putting a bar over them
Answered by GPT 3.5
Since the denominator of the rational number is 7, the repeating cycle of the decimal can be up to six digits long.
Answered by GPT 3.5
To convert 0.27¯¯¯¯¯ to a rational number in simplest form, we need to express the repeating decimal as a fraction.

Let x = 0.27¯¯¯¯¯.

Multiplying both sides of the equation by 100 (to move the decimal point two places to the right) gives us:

100x = 27.¯¯¯¯¯.

Next, we subtract x from 100x:

100x - x = 27.¯¯¯¯¯ - 0.27¯¯¯¯¯.

Simplifying the right side gives us:

99x = 27.

Finally, we solve for x by dividing both sides by 99:

x = 27/99.

To express it as a fraction in simplest form, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 9:

x = (27/9) / (99/9) = 3/11.

Therefore, 0.27¯¯¯¯¯ as a rational number in simplest form is 3/11.
Answered by GPT 3.5
To convert 0.264¯¯¯¯¯¯¯¯ to a rational number, you would set x equal to 0.264¯¯¯¯¯¯¯¯ and then multiply both sides of the equation by 1000.
Answered by GPT 3.5
If a repeating decimal has a repeating cycle of three digits, it will convert to a rational number with a denominator of 999.
Answered by GPT 3.5
An example of an irrational number between 9 and 11 is $\sqrt{10}$.
Answered by GPT 3.5
The least integer whose square root is an irrational number between 5 and 7 is 26.
Answered by GPT 3.5
An example of a rational number that is between $\sqrt{10}$ and $\sqrt{11}$ is $\frac{103}{10}$.
Answered by GPT 3.5
An example of an irrational number that is between $\sqrt{14}$ and $\sqrt{18}$ is $\sqrt{15}$.
Answered by GPT 3.5
There are an infinite number of irrational numbers between $\sqrt{11}$ and $\sqrt{17}$.