Which of the following is a true statement?
All square roots are irrational.
All decimals are irrational.
All non-perfect squares have irrational square roots.
All irrational numbers can be written as ratios of two integers.
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jimthompson5910 (jim_thompson5910):
which one do you think it is
OpenStudy (anonymous):
this one All square roots are irrational.
jimthompson5910 (jim_thompson5910):
what about sqrt(25) ?
jimthompson5910 (jim_thompson5910):
is that irrational?
OpenStudy (anonymous):
no
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OpenStudy (anonymous):
wow you have alot of people veiwing
jimthompson5910 (jim_thompson5910):
you are correct, sqrt(25) = 5 = 5/1, which shows it's rational
jimthompson5910 (jim_thompson5910):
since it can be written as a fraction of whole numbers
OpenStudy (anonymous):
so b then
OpenStudy (anonymous):
so is this the correct answer All decimals are irrational.
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OpenStudy (anonymous):
im still her courtney
OpenStudy (anonymous):
yess because 0.2145214 cant be written as a faction
jimthompson5910 (jim_thompson5910):
no, 2.5 is rational since 2.5 = 25/10 = 5/2
OpenStudy (anonymous):
no you just dont get rid of the demical
jimthompson5910 (jim_thompson5910):
but the fact that 2.5 = 5/2 means that 2.5 is rational
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OpenStudy (anonymous):
listen badgurl it is B
OpenStudy (anonymous):
ok jim wat do u think it is
jimthompson5910 (jim_thompson5910):
All non-perfect squares have irrational square roots.
jimthompson5910 (jim_thompson5910):
since sqrt(25) = 5, but 25 is a perfect square
however, sqrt(26) is irrational since you can't write it as a fraction of two integers
notice how 26 is a non-perfect square
OpenStudy (anonymous):
oh ok yeah i remember my teach talking about that
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OpenStudy (anonymous):
you know what just go with the one you think it is i want be mad
OpenStudy (anonymous):
ok courtney and jim i have another one
OpenStudy (anonymous):
so you want me to leave
OpenStudy (anonymous):
Approximate \[\sqrt{110}\]to the nearest tenth without using your calculator.
OpenStudy (anonymous):
do you want me to leave or what
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OpenStudy (anonymous):
A. 10.0
B. 10.1
C. 10.4
D. 10.5
OpenStudy (anonymous):
and no i dnt want you to leave help me
OpenStudy (anonymous):
ok i say 10.4 but that is with i with the caculator
jimthompson5910 (jim_thompson5910):
10*10 = 100
11*11 = 121
So the number is between 10 and 11
jimthompson5910 (jim_thompson5910):
So let's say it was 10.5 (that's the midpoint between 10 and 11)
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jimthompson5910 (jim_thompson5910):
so
110/10.5 = 10.47619
OpenStudy (anonymous):
ok i have a more ? courtney u still there
jimthompson5910 (jim_thompson5910):
notice how close we are already
OpenStudy (anonymous):
yea but 10.4 is the correct answer with i caculator
OpenStudy (anonymous):
ok next ?
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OpenStudy (anonymous):
Which of the following expressions would appear furthest to the right on a number line? \[A. \sqrt{3}+5 B.7 C. \sqrt{36} D.\frac{ 15 }{ 2 }\]
OpenStudy (anonymous):
ok badgurl have to go but i will be back on in a few
OpenStudy (anonymous):
i promise
OpenStudy (anonymous):
jim help me
jimthompson5910 (jim_thompson5910):
Are you allowed to use a calculator here?
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OpenStudy (anonymous):
yeah
jimthompson5910 (jim_thompson5910):
ok great
jimthompson5910 (jim_thompson5910):
sqrt(3) = 1.73205
jimthompson5910 (jim_thompson5910):
so sqrt(3) + 5 = 1.73205 + 5 = 6.73205
jimthompson5910 (jim_thompson5910):
do you see how I'm getting this?
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OpenStudy (anonymous):
yeah a lil
jimthompson5910 (jim_thompson5910):
what is sqrt(36)
OpenStudy (anonymous):
i have no clue
jimthompson5910 (jim_thompson5910):
you agree that 6 times 6 = 36 right?
OpenStudy (anonymous):
yes
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jimthompson5910 (jim_thompson5910):
so sqrt(36) = 6
jimthompson5910 (jim_thompson5910):
finally, what is 15/2
OpenStudy (anonymous):
it an improper fraction
jimthompson5910 (jim_thompson5910):
use calculator to find out what 15 divided by 2 is
OpenStudy (anonymous):
7.5
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jimthompson5910 (jim_thompson5910):
so the original list of numbers becomes
6.73205, 7, 6, 7.5
jimthompson5910 (jim_thompson5910):
which is the largest one
OpenStudy (anonymous):
7.5
jimthompson5910 (jim_thompson5910):
that corresponds to 15/2
jimthompson5910 (jim_thompson5910):
so that is the largest number, so it's the furthest to the right on the number line
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