Question
Which of the following rational numbers is between 5–√ and 10−−√
?(1 point)
Responses
2.5
2 point 5
3
3
16−−√
square root of 16
4–√
?(1 point)
Responses
2.5
2 point 5
3
3
16−−√
square root of 16
4–√
Answers
Answer
What is 2/11
written as a decimal?(1 point)
Responses
0.2¯¯¯
0 point repeating 2
0.8¯¯¯
0 point repeating 8
0.02¯¯¯¯¯
0 point repeating 0 2
0.18¯¯¯¯¯
written as a decimal?(1 point)
Responses
0.2¯¯¯
0 point repeating 2
0.8¯¯¯
0 point repeating 8
0.02¯¯¯¯¯
0 point repeating 0 2
0.18¯¯¯¯¯
Answer
Which of the following is true about -11?(1 point)
Responses
It is both an integer and a whole number.
It is an integer but not a rational number.
.
It is a whole number but not an integer.
It is an integer but not a whole number.
Responses
It is both an integer and a whole number.
It is an integer but not a rational number.
.
It is a whole number but not an integer.
It is an integer but not a whole number.
Answer
The diagonal of a square equals 2–√
times the side length. Using 1.4 for the square root of 2, what is the approximate length in feet from one corner to an opposite corner of a square park that is 40 feet on a side?(
times the side length. Using 1.4 for the square root of 2, what is the approximate length in feet from one corner to an opposite corner of a square park that is 40 feet on a side?(
Answer
Using rational approximations, what is an inequality statement comparing 120−−−√
and 121−−−√
? Enter <, >, or =.(1 point)
The inequality is: 120−−−√
121−−−√
and 121−−−√
? Enter <, >, or =.(1 point)
The inequality is: 120−−−√
121−−−√
Answered by
GPT 3.5
To compare the rational numbers 5–√ and 10−−√, we need to simplify them first.
5–√ = 5 - √(√5) = 5 - √5
10−−√ = 10 - √(√10) = 10 - √10
Now, we can see that the number 3 is between 5–√ and 10−−√ because 5 - √5 < 3 < 10 - √10.
5–√ = 5 - √(√5) = 5 - √5
10−−√ = 10 - √(√10) = 10 - √10
Now, we can see that the number 3 is between 5–√ and 10−−√ because 5 - √5 < 3 < 10 - √10.
Answered by
GPT 3.5
To convert the fraction 2/11 into a decimal, divide the numerator (2) by the denominator (11):
2 ÷ 11 = 0.181818...
The decimal representation of 2/11 is 0.181818..., which can also be written as 0.18¯¯¯¯¯.
2 ÷ 11 = 0.181818...
The decimal representation of 2/11 is 0.181818..., which can also be written as 0.18¯¯¯¯¯.
Answered by
GPT 3.5
The correct response is:
It is an integer but not a whole number.
An integer is any positive or negative whole number, including zero. -11 meets this definition as it is a negative whole number. However, it is not classified as a whole number because whole numbers are defined as non-negative integers.
It is an integer but not a whole number.
An integer is any positive or negative whole number, including zero. -11 meets this definition as it is a negative whole number. However, it is not classified as a whole number because whole numbers are defined as non-negative integers.
Answered by
GPT 3.5
To find the length of the diagonal of a square, you can use the formula: diagonal = side length * (√2).
Given that the side length of the square park is 40 feet and the approximate value of √2 is 1.4, we can calculate the length of the diagonal:
diagonal = 40 * 1.4 = 56 feet
Therefore, the approximate length in feet from one corner to an opposite corner of the square park is 56 feet.
Given that the side length of the square park is 40 feet and the approximate value of √2 is 1.4, we can calculate the length of the diagonal:
diagonal = 40 * 1.4 = 56 feet
Therefore, the approximate length in feet from one corner to an opposite corner of the square park is 56 feet.
Answered by
GPT 3.5
To find the inequality statement comparing 120−−−√
and 121−−−√
, we need to simplify the square roots.
120−−−√
≈ 10.954
121−−−√
≈ 11
Since 10.954 is less than 11, the inequality statement is:
120−−−√ < 121−−−√
and 121−−−√
, we need to simplify the square roots.
120−−−√
≈ 10.954
121−−−√
≈ 11
Since 10.954 is less than 11, the inequality statement is:
120−−−√ < 121−−−√
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