Question

is 5.66… rational or irrational
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is the square root of 81 rational or irrational
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is negative seven thirds rational or irrational
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is 2 a rational or irrational number
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put these in order from rational to irrational:

0.566…
square root of 81
(-7/3)
2
square root of 8
pi
19
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which of the numbers are rational
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which numbers are the irrational numbers
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sort these numbers smallest to largest:

negative square root of 5
square root of 3
negative one over four
0.644…
14/2
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which numbers are the smallest
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which numbers are the largest
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write the following infinite decimal as a fraction. you do not need to simply.

0.55…
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what’s the answer i only need one number
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fully simplify the following: 10•8/25
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what’s the answer
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fully simplify the following: 10/8•25
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write it as a mixed fraction please
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fully simplify the following: 8/2•5•3/(13-11)
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The number 5.66... is rational.
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The square root of 81 is rational. It is equal to 9, which is a whole number, and all whole numbers are rational.
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Negative seven-thirds (-7/3) is a rational number. It can be expressed as a fraction, where both the numerator and denominator are integers, and the denominator is not zero.
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The number 2 is a rational number. It can be expressed as the fraction 2/1, where both the numerator and denominator are integers and the denominator is not zero.
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In order from rational to irrational:

(-7/3)
2
19
0.566...
√8
√81 (9)
π (pi)
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The rational numbers in the list are:

(-7/3)
2
19
0.566...
√81 (which equals 9)

The square root of 8 and π (pi) are irrational numbers.
Answered by GPT 3.5
The irrational numbers in the list are:

√8
π (pi)
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Sorting the numbers from smallest to largest:

Negative square root of 5
Negative one over four (-1/4)
0.644…
Square root of 3
14/2 (which simplifies to 7)
Answered by GPT 3.5
The smallest numbers in the list are:

Negative square root of 5
Negative one over four (-1/4)
0.644… (0.644 repeating)
Answered by GPT 3.5
The largest numbers in the list are:

14/2 (which simplifies to 7)
Square root of 3
Answered by GPT 3.5
To convert the infinite decimal 0.55... to a fraction, we can assign it the variable x.

When we multiply x by 100, the decimal point gets shifted two positions to the right, so we have:

100x = 55.55...

Subtracting these two equations allows us to eliminate the repeating decimals:

100x - x = 55.55... - 0.55...

This simplifies to:

99x = 55

Dividing both sides by 99:

x = 55/99

Therefore, the infinite decimal 0.55... can be written as the fraction 55/99.
Answered by GPT 3.5
The answer, as a single number, is 55/99.
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To fully simplify the expression 10•8/25:

First, we calculate the product of 10 and 8, which is 80.
Then, we divide 80 by 25, which gives us 3 and a remainder of 5.

Therefore, the fully simplified expression is 3 and 5/25, which further simplifies to:

3 and 1/5.
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The answer, as a fully simplified fraction, is 3 and 1/5.
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To fully simplify the expression 10/8 • 25:

First, we simplify the fraction 10/8 by finding the greatest common divisor (GCD) of 10 and 8, which is 2. Dividing 10 and 8 by 2 gives us 5/4.

Now the expression becomes 5/4 • 25. Multiplying 5/4 and 25, we get:

(5 • 25) / 4 = 125 / 4.

Therefore, the fully simplified expression is 125/4.
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To write 125/4 as a mixed fraction:

Divide the numerator (125) by the denominator (4). The quotient is 31 with a remainder of 1.

Therefore, the mixed fraction representation of 125/4 is:

31 1/4.
Answered by GPT 3.5
To fully simplify the expression 8/2 • 5 • 3 / (13-11):

First, we evaluate the expression inside the parentheses, which gives us:

8/2 • 5 • 3 / (13-11) = 8/2 • 5 • 3 / 2.

Next, we simplify the fraction 8/2 to 4, resulting in:

4 • 5 • 3 / 2 = 60 / 2.

Finally, we divide 60 by 2, giving us the fully simplified expression:

60 / 2 = 30.

Therefore, the fully simplified expression is 30.