Question

I need like, tutoring. Can anyone help for a little bit?

Answer 1

with what

Answer 2

many things. For example, Irrational and Rational numbers

Answer 3

what about them?

Answer 4

a cool graphic of a venn diagram relating the number sets http://intermath.coe.uga.edu/dictnary/images/number/venn.gif

Answer 5

i dont know. i just dont GET them. i know its simple but i just cant get it. Like, how do i know which rational number is equivalent to another?

Answer 6

an irrational number is any real number that cannot be expressed as a ratio of integers. Informally, this means that an irrational number cannot be represented as a simple fraction.
so .33333333333333.. is NOT irrational, as it can be represented as a fraction. (1/3)

but pi 3.1415... cannot be represented as a fraction.
so if there is NO fractional equivalent, then it is irrational

for rational equivalence, any terminating decimal is rational (e.g. .125 = 1/8) any repeating sequence is (e.g. .11111111111111... = 1/9)

if it can be a fraction, it is rational

Answer 7

hello?

Answer 8

so, in relation to your statement "which rational number is equivalent to another?"
they aren't, they would be equal to a fraction, not to another number

Answer 9

yes?

Answer 10

dont give me the answer, can you help me work it out. for example, What is the rational number equivalent to 3 point 12 with a bar over 12?

Answer 11

sure. so, obviously we know the answer contains 3(x/y) so for now, ignore the 3.
and work on the .1212121212 ...
0.12 repeating can be put into a fraction. we can't put 0.12 over 1, so we put it over the next closest thing. 0.999999repeating.
but we don't have paper that big... so just use the "repeated part"

Answer 12

then reduce

Answer 13

so is it 3 4/33

Answer 14

yes

Answer 15

really?

Answer 16

yes, really

Answer 17

awesome. i feel smart lol

Answer 18

good

Answer 19

other questions?

Answer 20

yes. What is the simplified expression for 2^2 multiplied by 2^ 3 / 2^4?

Answer 21

\[a ^{x} \times a ^{y} = a ^{x+y}\]\[a ^{x}\div a ^{y} = a ^{x-y}\]

Answer 22

so do the division one first
\[2^3 / 2^4 = 2^?\]

Answer 23

2^12?

Answer 24

then multiply that by the 2^2

Answer 25

no, with division, you subtract the exponents

Answer 26

2^10?

Answer 27

\[2^3 / 2^4 = 2^{(3-4)} = 2^{-1}\]

Answer 28

oh yeah. sorry i was looking at the wrong thing lol

Answer 29

then multiply \[2^2 \times 2^{-1} = 2^{(2 -1)} = 2^1 = 2\]

Answer 30

wait could it be either 2^1 and 2?

Answer 31

yes. but that is the same as saying 2
any number raised to the power of 1 is itself

Answer 32

okay thats easy. i have another is that okay?

Answer 33

ask away

Answer 34

okay. negative numbers confuse me so thatd be cool if you can help.
Multiply (2.0 ⋅ 10^−4) ⋅ (3.1 ⋅ 10^−20). Express the answer in scientific notation.

Answer 35

please redo that

Answer 36

what do you mean?

Answer 37

all i see there is a bunch of question marks in black diamonds

Answer 38

oh. refresh your thing

Answer 39

browser crashed, I see it now

Answer 40

yeah. mine does that

Answer 41

\[10^{2} , 10^{-2}\]
do you know what these equal?

Answer 42

10? i suck with negatives. they confuse me

Answer 43

scientific notation is just a single integer followed by the rest of the number as a decimal, then multiplied by a power of 10
so 10 is 1.0* 10^1

Answer 44

100 is 1.0 * 10^2
1000 is 1.0 * 10^3
negatives are the same, you are just counting how far you move the decimal
.10 = 1 * 10 ^-1
.010 = 1 * 10^-2