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
17 answers
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
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
Start Fraction 27 over 99 end fraction
Rational Numbers in Different Forms Quick Check
4 of 54 of 5 Items
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
4 of 54 of 5 Items
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
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.
what is the answer to this question
Apologies, but I need a specific question in order to provide an answer.
what is the answer to this question
What is the largest integer whose square root is an irrational number between 3 and 4?(1 point)
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.
Find a rational number between 2 and 214 using the method of adding the numbers together and dividing by 2. Write the answer as a mixed number.(1 point)
To find a rational number between 2 and 214 using the method of adding the numbers together and dividing by 2, we'll add 2 and 214 together and divide the sum by 2:
2 + 214 = 216
216 ÷ 2 = 108
So, the rational number between 2 and 214 using this method is 108.
2 + 214 = 216
216 ÷ 2 = 108
So, the rational number between 2 and 214 using this method is 108.
Find a rational number between 2 and 2 and 1/4 using the method of adding the numbers together and dividing by 2. Write the answer as a mixed number.(1 point)
To find a rational number between 2 and 2 1/4 using the method of adding the numbers together and dividing by 2, we'll convert 2 1/4 to an improper fraction:
2 1/4 = 9/4
Now, we'll add 2 and 9/4 together and divide the sum by 2:
2 + 9/4 = 8/4 + 9/4 = 17/4
Next, we simplify the fraction 17/4 to a mixed number:
17/4 = 4 1/4
So, the rational number between 2 and 2 1/4 using this method is 4 1/4.
2 1/4 = 9/4
Now, we'll add 2 and 9/4 together and divide the sum by 2:
2 + 9/4 = 8/4 + 9/4 = 17/4
Next, we simplify the fraction 17/4 to a mixed number:
17/4 = 4 1/4
So, the rational number between 2 and 2 1/4 using this method is 4 1/4.