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

infinitely long
infinitely long

up to six digits long
up to six digits long

any finite length
any finite length

up to seven digits long

up to six digits long

Convert 0.27¯¯¯¯¯ to a rational number in simplest form.(1 point)

Responses

1/27
Start Fraction 1 over 27 end fraction

27/100
Start Fraction 27 over 100 end fraction

27/99
Start Fraction 27 over 99 end fraction

3/11

27/99

Start Fraction 27 over 99 end fraction

Rational Numbers in Different Forms Quick Check

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Question
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

1,000
1,000

999
999

100
100

10

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 1,000.

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

1,000
1,000

100
100

99

If a repeating decimal has a repeating cycle of three digits, it will convert to a rational number with a denominator of 99.

What is the largest integer whose square root is an irrational number between 3 and 4?(1 point)

The largest integer whose square root is an irrational number between 3 and 4 is 3. Any square root of a perfect square (e.g. 9 = 3^2) is a rational number, so the square root of 9 is 3, which falls between 3 and 4.

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