Question

is 5.66… rational or irrational
GPT 3.5
The number 5.66... is rational.
person
is the square root of 81 rational or irrational
GPT 3.5
The square root of 81 is rational. It is equal to 9, which is a whole number, and all whole numbers are rational.
person
is negative seven thirds rational or irrational
GPT 3.5
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.
person
is 2 a rational or irrational number
GPT 3.5
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.
person
put these in order from rational to irrational:

0.566…
square root of 81
(-7/3)
2
square root of 8
pi
19
GPT 3.5
In order from rational to irrational:

(-7/3)
2
19
0.566...
√8
√81 (9)
π (pi)
person
which of the numbers are rational
GPT 3.5
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.
person
which numbers are the irrational numbers
GPT 3.5
The irrational numbers in the list are:

√8
π (pi)
person
sort these numbers smallest to largest:

negative square root of 5
square root of 3
negative one over four
0.644…
14/2
GPT 3.5
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)
person
which numbers are the smallest
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)
person
which numbers are the largest
GPT 3.5
The largest numbers in the list are:

14/2 (which simplifies to 7)
Square root of 3
person
write the following infinite decimal as a fraction. you do not need to simply.

0.55…
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.
person
what’s the answer i only need one number
GPT 3.5
The answer, as a single number, is 55/99.
person
fully simplify the following: 10•8/25
GPT 3.5
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.
person
what’s the answer
GPT 3.5
The answer, as a fully simplified fraction, is 3 and 1/5.
person
fully simplify the following: 10/8•25
GPT 3.5
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.
person
write it as a mixed fraction please
GPT 3.5
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.
person
fully simplify the following: 8/2•5•3/(13-11)
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.