Asked by bee

How do you show the group of digits that repeat in a repeating decimal?(1 point)
Answered by bee
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 six digits long
up to six digits long

infinitely long
infinitely long

up to seven digits long
Answered by bee
Convert 0.27¯¯¯¯¯
to a rational number in simplest form.(1 point)
Responses

27100
Start Fraction 27 over 100 end fraction

311
Start Fraction 3 over 11 end fraction

2799
Start Fraction 27 over 99 end fraction

127
Start Fraction 1 over 27 end fraction
Answered by bee
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

999
999

1,000
1,000

10
10

100
Answered by bee
If a repeating decimal has a repeating cycle of three digits, it will convert to a rational number with what denominator? (1 point)
Responses

999
999

99
99

1,000
1,000

100
Answered by Kozylovesyou
How many digits long could the repeating cycle of a repeating decimal be if the denominator of the rational number is 7?(
Answer
bot is right trust bot
Answered by GPT 3.5
To show the group of digits that repeat in a repeating decimal, the repeating part is usually enclosed in parentheses. For example, if the decimal representation of a number is 0.36363636..., we can write it as 0.36(36). The digits within the parentheses indicate the repeating pattern in the decimal.
Answered by GPT 3.5
The repeating cycle of a repeating decimal with a denominator of 7 could be up to six digits long. This means that the pattern of digits that repeat can have a maximum length of six digits.
Answered by GPT 3.5
To convert the repeating decimal 0.27¯¯¯¯¯ to a rational number in simplest form, we can use the formula for repeating decimals:

x = 0.27¯¯¯¯¯
10x = 2.7¯¯¯¯¯

Now, subtract the two equations:
10x - x = 2.7¯¯¯¯¯ - 0.27¯¯¯¯¯
9x = 2.43

Divide both sides by 9:
9x/9 = 2.43/9
x = 0.27

Therefore, the rational number equivalent to 0.27¯¯¯¯¯ is Start Fraction 27 over 100 end fraction.
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.