Question

order least to greatest.
9.73, -39/50 , -0.7, squareroot 92

Answer 1

\[\sqrt{92}\]

Answer 2

hint:
we can write this:
\[\Large \begin{gathered}
{\text{9}}{\text{.73}} \times {\text{9}}{\text{.73}} \simeq {\text{94}}{\text{.7}} \hfill \\
\hfill \\
- 0.7 = - \frac{7}{{10}} = - \frac{{35}}{{50}} \hfill \\
\end{gathered} \]

Answer 3

so i times them by themselves?

Answer 4

I meant this:
\[\Large {\text{9}}{\text{.73}} \times {\text{9}}{\text{.73}} \simeq {\text{9}}4.7 > 92\]
so what can you conclude?

Answer 5

92 is \[2\sqrt{23}\]

Answer 6

im not sure. it looks like 92 and 9.73 are equivalent to each other

Answer 7

hint:
if 92 < 94.7= (9.73)^2, then we can write:
\[\sqrt {92} < 9.73\]
am I right?

Answer 8

yes so it would be 9.73 then 92

Answer 9

we have this:

Answer 10

ok so 92 then 9.73 then -0.7 then -39/50?

Answer 11

hint:
we have this:
\[ \Large - 0.7 = - \frac{7}{{10}} = - \frac{{35}}{{50}}\]
and:
\[ \Large - \frac{{35}}{{50}} > - \frac{{39}}{{50}}\]

Answer 12

well was that right? 92, 9.73, -0.7, -39/50?

Answer 13

I think it is:
-39/50, -0.7, sqrt 92, 9.73

Answer 14

that was right thank you soo much

Answer 15

:)

Answer 16

can you help with one more?

Answer 17

ok!

Answer 18

hint:
we have this:
\[{\left( {\frac{{47}}{{11}}} \right)^2} \simeq 18.2 > 17\]
so
\[\frac{{47}}{{11}} > \sqrt {17} \]
am I right?

Answer 19

yes

Answer 20

then, please complete this inequality:
\[ - \frac{{47}}{{11}}\;\;?\;\; - \sqrt {17} \]

Answer 21

namely write the right symbol: < or > ?

Answer 22

>

Answer 23

please keep in mind that they are both negative quantities

Answer 24

so its the other symbol

Answer 25

yes!

Answer 26

\[ - \frac{{47}}{{11}}\; < \; - \sqrt {17} \]

Answer 27

now, we have this:
\[4.\bar 4 = \frac{{44 - 4}}{9} = \frac{{40}}{9}\]

Answer 28

and:
\[{\left( {\frac{{40}}{9}} \right)^2} \simeq 19.8 > 18.2 \simeq {\left( {\frac{{47}}{{11}}} \right)^2}\]

Answer 29

so we can write:
\[4.\bar 4 = \frac{{40}}{9} > \frac{{47}}{{11}}\]

Answer 30

now, as before, please complete the subsequent inequality:
\[ - 4.\bar 4\;\;?\;\; - \frac{{47}}{{11}}\]

Answer 31

>

Answer 32

again, please note that they are both negative quantities

Answer 33

then ?

Answer 34

uggh sorry <

Answer 35

ok! :)
so we have this drawing:

Answer 36

thank you again

Answer 37

:)