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Mathematics 14 Online
OpenStudy (anonymous):

Questions below!! :D

OpenStudy (anonymous):

Find the consecutive whole numbers that each number falls between. Then estimate the numbers value.

OpenStudy (anonymous):

\[\sqrt{55}\]

OpenStudy (anonymous):

\[\sqrt{8}\]

OpenStudy (anonymous):

55 falls between 49 and 64, and \(\sqrt{49}=7\) and \(\sqrt{64}=8\). So, you know that \(\sqrt{55}\) falls somewhere between these two. Try using the same reasoning to estimate \(\sqrt8\).

OpenStudy (anonymous):

Okay hold on

OpenStudy (anonymous):

Wait but i thought that you took \[\sqrt{55}\] which is 7.4 rounds to 8 which is between 7 and 9? is it like that?

OpenStudy (anonymous):

You're supposed to estimate based on the fact that \(\sqrt{49}<\sqrt{55}<\sqrt{64}\), or \(7<\sqrt{55}<8\). 7 and 8 are the "consecutive whole numbers" you have to find first. Then you make a guess like 7.4 or 7.5.

OpenStudy (anonymous):

So for \[\sqrt{55}\] its 7 and 8 and the whole value or whatever is 7.4

OpenStudy (anonymous):

Right?

OpenStudy (anonymous):

The *estimated* value is 7.4, yeah.

OpenStudy (anonymous):

ok so for 8...

OpenStudy (anonymous):

Find the two consecutive perfect squares that 8 falls between, then... Just like the first one.

OpenStudy (anonymous):

estimated 2.8 then 3 and 4?

OpenStudy (anonymous):

It looks like you did it backwards. First, you notice that \(4<8<9\). 4 and 9 are perfect squares, and so you know that \(\sqrt4<\sqrt8<\sqrt9\), or that \(2<\sqrt8<3\). Then you make the guess of 2.8.

OpenStudy (anonymous):

okay so 2.8 is right.. so what about the 3 and 4 for the consectutive numbers

OpenStudy (anonymous):

Are they right?

OpenStudy (anonymous):

They are.

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

so for 55 7 and 8 for consectutive and 7.4 for estimate?

OpenStudy (anonymous):

@SithsAndGiggles

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