Question

Help!!!!!!!

Answer 1

Identify the number that does not belong with the other three. Explain your reasoning. 50.1 repeating 1, negative 50 over 2, negative 50.1, square root 50

Answer 2

@confluxepic Help!!!!!

Answer 3

@ParthKohli please help

Answer 4

@whpalmer4 please help

Answer 5

@Michele_Laino

Answer 6

@Michele_Laino please help

Answer 7

@Michele_Laino

Answer 8

The one that isn't rational

Answer 9

You would first assume -50/2 just because it's negative, but that is also a rational number, but one of the numbers here isn't rational...so what would the answer be?

Answer 10

-50.1

Answer 11

hint:
\[\Large 50.\overline 1 = \frac{{501 - 50}}{9}\]

Answer 12

im confused

Answer 13

Look up the definition for rational number

Answer 14

hint:
we can write this
\[\Large \begin{gathered}
50.\overline 1 = \frac{{501 - 50}}{9} = \frac{{451}}{9} \hfill \\
\hfill \\
- \frac{{50}}{2},\quad - 50.1 = - \frac{{501}}{{10}} \hfill \\
\end{gathered} \]

Answer 15

furthermore, we are not able to find a pair of integer numbers, say m, and n, such that:
\[\Large \sqrt 2 = \frac{m}{n}\]

Answer 16

i do not understand

Answer 17

oops..
\[\Large \sqrt {50} = \frac{m}{n}\]

Answer 18

in other words, the first three numbers can be expressed as ratios, whereas the fourth number, namely sqrt(50), can not be expressed as a ratio, so what can you conclude?

Answer 19

square root 50 does not belong

Answer 20

but why ? @Michele_Laino

Answer 21

because sqrt(50) we can not find a pair of integers, (m,n) such that:
\[\Large \sqrt {50} = \frac{m}{n}\]
in other words sqrt(50) is an irrational number, whereas the others three numbers are rational numbers, since they can be expressed as fractions

Answer 22

Easily put, rational numbers are any number that can be made by dividing two integers, but \[\sqrt{50}\] can't be, same reason for pi, that is not a rational number,

Answer 23

@Michele_Laino can you help me with two more

Answer 24

ok!

Answer 25

Which mathematical symbol would best fill in the blank to compare the two real numbers?

7.6 repeating blank square root 55
<
>
=
≈

Answer 26

@Michele_Laino

Answer 27

what do you mean with 7.6 repeating blank?

Answer 28

\[7.6 ____ \sqrt{55}\]

Answer 29

do you mean 7.6?

Answer 30

if we make the square of the two numbers, we get this:
\[\Large {7.6^2} = {\left( {\frac{{76}}{{10}}} \right)^2} > 55\]
am I right?

Answer 31

so it would be greater

Answer 32

yes! also between the starting numbers the same symbol holds

Answer 33

which symbol is greater again?

Answer 34

the right symbol is: ">"

Answer 35

in general, if:
\[\large {n^2} > {m^2}\]
then:
\[\Large n > m\]

Answer 36

where n and m are positive numbers

Answer 37

yes

Answer 38

Order the set of numbers from least to greatest: negative 5 over 6, negative 5, negative square root 26, negative 31 over 6
negative 31 over 6, negative square root 26, negative 5, negative 5 over 6
negative 5 over 6, negative 5, negative 31 over 6, negative square root 26
negative square root 26, negative 31 over 6, negative 5, negative 5 over 6
negative 5 over 6, negative 5, negative square root 26, negative 31 over 6

Answer 39

As before I consider the square of each number:
\[\Large \begin{gathered}
- \frac{5}{6} \to {\left( { - \frac{5}{6}} \right)^2} = \frac{{25}}{{36}} \hfill \\
\hfill \\
- 5 \to {\left( { - 5} \right)^2} = 25 = \frac{{900}}{{36}} \hfill \\
\hfill \\
- \sqrt {26} \to 26 = \frac{{936}}{{36}} \hfill \\
\hfill \\
- \frac{{31}}{6} \to {\left( { - \frac{{31}}{6}} \right)^2} = \frac{{961}}{{36}} \hfill \\
\end{gathered} \]

Answer 40

can i say what my answer is

Answer 41

I'm sorry I can not say the answer directly, since it is against the Code of Conduct

Answer 42

please compare the square of those numbers

Answer 43

we have this drawing:

Answer 44

am I right?

Answer 45

furthermore, you have to keep in mind that your numbers are negative, so the number which has the square bigger than others, is the first number in your sequence

Answer 46

its the last answer -5/6 -5 - square 26 -31/6

Answer 47

@Michele_Laino

Answer 48

least to greatest

Answer 49

no, since -31/6 has the square bigger than others, so it is the first number of your sequence, so we have:

-31/6,...

Answer 50

so its A

Answer 51

the order is reversed, since your numbers are all negative numbers

Answer 52

yes! correct, it is option A

Answer 53

thank your Michele (:

Answer 54

:)