ow do you show the group of digits that repeat in a repeating decimal?(1 point)
I apologize for any confusion. Let me clarify the correct answers for you:
- To show the group of digits that repeat in a repeating decimal, you can show them by putting a bar over them.
- The maximum length of the repeating cycle of a repeating decimal with a denominator of 7 can be up to six digits long.
- To convert 0.27¯¯¯¯¯ to a rational number in simplest form, the correct fraction is 27/99.
- To convert 0.264¯¯¯¯¯¯¯¯ to a rational number, you would multiply both sides of the equation by 1000.
- If a repeating decimal has a repeating cycle of three digits, it will convert to a rational number with a denominator of 999.
To show the group of digits that repeat in a repeating decimal, you can use a bar notation, also known as a vinculum. This bar is placed over the digits that repeat. For example, if the number 0.3333333... is written, the repeating digit group of 3's is shown as 0.3 with a bar over it, like this: 0.3¯¯¯.
How do you show the group of digits that repeat in a repeating decimal?(1 point)
Responses
by printing them in italics
by printing them in italics
by underlining them
by underlining them
by putting them in parentheses
by putting them in parentheses
by putting a bar over them
by putting a bar over them
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
2799
Start Fraction 27 over 99 end fraction
311
Start Fraction 3 over 11 end fraction
27100
Start Fraction 27 over 100 end fraction
127
To convert 0.27¯¯¯¯¯ to a rational number in simplest form, we can use the bar notation and write it as a fraction.
0.27¯¯¯¯¯ can be represented as the fraction 27/99 (the repeating cycle is 27, and there are two digits in the repeating cycle).
Therefore, the rational number in simplest form is 27/99.
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
10
10
999
999
1,000
1,000
100
100