Question

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

up to seven digits long
up to seven digits long

infinitely long

Answer 1

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

127
Start Fraction 1 over 27 end fraction

311
Start Fraction 3 over 11 end fraction

27100
Start Fraction 27 over 100 end fraction

2799

Answer 2

o 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

10
10

1,000
1,000

100

Answer 3

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

99
99

100
100

1,000
1,000

999

Answer 4

The repeating cycle of a repeating decimal with a denominator of 7 can be up to six digits long.

Answer 5

To convert the repeating decimal 0.27¯¯¯¯¯¯ to a rational number in simplest form, we can set it up as the fraction 27/99. Simplifying this fraction by dividing numerator and denominator by 9, we get the rational number:

Start Fraction 3 over 11 end fraction

Answer 6

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.

Answer 7

If a repeating decimal has a repeating cycle of three digits, it will convert to a rational number with a denominator of 999.