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
The repeating cycle of a repeating decimal with a denominator of 7 can be up to six digits long.
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
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
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
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
99
99
100
100
1,000
1,000
999