Question

1. 0.817643 = rational or irrational
2. -√88 rational or irrational
3. -√169 rational or irrational
4. Estimate √58 to the nearest integer.
Help! Thank you!

Answer 1

Do you have an intuition about rational and irrational number ?

Answer 2

ummmm

Answer 3

What is that supposed to mean

Answer 4

What is your mother toungue ?

Answer 5

That makes no sense

Answer 6

Let me rephrase it for you,

Do you know what a rational and irrational number is ?

Answer 7

any number with terminating decimals is a rational number ,but those numbers having not-terminating(maybe repeating) decimals are irrational numbers.

Answer 8

Yes I do

Answer 9

Is pi a rational or irrational number ?

Answer 10

irrational

Answer 11

What about 0.5 ?

Answer 12

rationsl

Answer 13

good :)

Answer 14

i hope you understand it now :)

Answer 15

So, 0.817643 is rational or irrational ?

Answer 16

Thanks

Answer 17

rational

Answer 18

See, 0.5 =1/2 so rational.

Answer 19

right

Answer 20

Thanks anyways I got it

Answer 21

rational means you can write it down as a decimal.
irrational means the decimals keep going, never repeating, no rhyme or reason for what the next decimal will be
pi is a good example.

roots (in general) are irrational unless they are roots of perfect squares. example square root of 4 is 2
but sqrt(5) is irrational. btw, same idea for cube roots, etc...

Answer 22

Thankies!! :)

Answer 23

The trick part in these questions is recognizing that a number is a perfect square.
169 is 13*13, so the square root of 169 is 13, and rational

Answer 24

88 is 2*44 or 2*2*2*11 and so sqrt(88)= sqrt(2*2*2*11)= sqrt(2*2)*sqrt(2*11)= 2sqrt(22)
and sqrt(22) is irrational, and 2 times an irrational is still irrational.

Answer 25

4. Estimate √58 to the nearest integer.

Are you allowed a calculator? Or did they give you a way to do this problem?

Answer 26

calculator

Answer 27

find the square root, and round to the nearest whole number.

to round, look at the digit in the tenths place (next to the decimal point)
if 4 or less, drop the decimals and that is the answer

if 5 or bigger, drop the decimals, but ADD 1 to the answer

example: 100.3 to the nearest integer is 100 (3 is 4 or less, so drop the decimals)

210.50013 to the nearest integer is 210+1 (because 5 is 5 or bigger)
you get 211

Answer 28

Alrighty thank you

Answer 29

if you are not allowed a calculator, write down the squares near 58
7*7 is 49
58 is between them
8*8 is 64

58 is 9 away from 49 and 6 away from 64.
so 58 is closer to 64 than it is to 49

that is a clue that sqrt(58) is closer to 8 than to 7