Question

Using a number line, what whole number and rational number to the nearest half is 32−−√
between?(1 point)
Responses

A.between 5 and 5.5
between 5 and 5.5

B.between 6.5 and 7
between 6.5 and 7

C.between 5.5 and 6
between 5.5 and 6

D.between 6 and 6.5

Answers

Answer
Convert 0.5¯¯¯
to a fraction.
Answer
Determine for each number whether it is a rational or irrational number.(2 points)
Rational Irrational
3–√
Rational – square root of 3
Irrational – square root of 3
5117
Rational – 5 and 1 over 17
Irrational – 5 and 1 over 17
1.3¯¯¯
Rational – 1 point repeating 3
Irrational – 1 point repeating 3
−25−−√
Rational – negative square root of 25
Irrational – negative square root of 25
π2
Rational – pi over 2
Irrational – pi over 2
Answer
Karissa says the number 17 is an irrational number. Which statement best explains whether Karissa is correct?(1 point)
Responses

A.Karissa is incorrect because 17 can be written as a fraction.
Karissa is incorrect because 17 can be written as a fraction.

B.Karissa is correct because 17 is not written as a fraction.
Karissa is correct because 17 is not written as a fraction.

C.Karissa is correct because 17 only has 2 factors.
Karissa is correct because 17 only has 2 factors.

D.Karissa is incorrect because 17 only has 2 factors.
Karissa is incorrect because 17 only has 2 factors.
Answered by GPT 3.5
between 6 and 6.5
Answered by GPT 3.5
To convert 0.5¯ to a fraction, we can use the concept of repeating decimals.

Let's represent 0.5¯ as x. To eliminate the repeating decimal, we can multiply x by 10:

10x = 5.5¯

Next, subtract x from 10x:

10x - x = 5.5¯ - 0.5¯
9x = 5

Now, divide both sides of the equation by 9:

9x/9 = 5/9
x = 5/9

Therefore, 0.5¯ is equal to 5/9 as a fraction.
Answered by GPT 3.5
Rational Irrational
√3 Rational – square root of 3 Irrational – square root of 3
5117 Rational – 5 and 1 over 17 Irrational – 5 and 1 over 17
1.3¯ Rational – 1 point repeating 3 Irrational – 1 point repeating 3
−√25 Rational – negative square root of 25 Irrational – negative square root of 25
π/2 Rational – pi over 2 Irrational – pi over 2
Answered by GPT 3.5
The correct answer is:

B. Karissa is correct because 17 is not written as a fraction.

An irrational number cannot be expressed as a fraction, and since 17 cannot be written in the form of a fraction (such as a/b where a and b are integers), it is indeed an irrational number.

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