#what is 1.8x10^24/6.02x10^23?

114 messages · Page 1 of 1 (latest)

lime sparrow
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18/6.02

white valley
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what??

lime sparrow
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1.8×10²⁴/6.02×10²³ is equal to 18/6.02 because you subtract the exponent of the 10²³ from the exponent of the 10²⁴
leaving you with 1.8×10/6.02

white valley
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does subtracting exponent only applies when you divide 2 scientific notations to each otherr?

lime sparrow
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any set of things with the same base

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you know the exponent laws right?

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2⁷×2³=2¹⁰

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that apply to division too, but subtracting
2⁷÷2³=2⁴
2⁷÷3²≠2⁵ etc

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have to have the same base

faint river
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If dividing exponents with the same base, you subtract the exponents

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And if multiplying you add them

lime sparrow
faint river
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You have an unequals sign

white valley
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u mean that one?

lime sparrow
lime sparrow
faint river
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The big number yes

lime sparrow
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the base of 2⁷ is 2

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etc

white valley
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ok so 2⁷÷3²≠2, how do u know which to write? like 2 or 3

lime sparrow
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(base)⁽ᵉˣᵖᵒⁿᵉⁿᵗ⁾

lime sparrow
white valley
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woi?

lime sparrow
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because the bases aren't the same

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they have to be the same to do exponent subtraction

white valley
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ohh

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well what do we do den

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if they not da same

lime sparrow
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it's in simplest form then

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2⁷/3² cannot be simplified any further, other than possibly expanding out the exponent to get: 128/9

white valley
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ohh got it

white valley
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yall said we subtract exponents if they have same base

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how is 1.8=6.02?

lime sparrow
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we aren't subtracting exponents with that

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we're subtracting exponents on the 10²⁴ and 10²³

white valley
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cause they are both 10?

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the abse

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*base

lime sparrow
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yes

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exponent subtraction at it's roots is based in factoring

white valley
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ok so, any number if they are the same you can subtract their exponents?

lime sparrow
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so it only works if both the denominator and mumerator are multiplied by the same base

white valley
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then why 6.02 loss its 10

lime sparrow
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like:
(6×10²⁴)/(3×10²³)=2×10
but
(6+10²⁴)/(3+10²³)≠2×10

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they have to be multiplied, therefore meaning that 10²³ or whatever is a factor of both

white valley
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ohh

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why did 6.02x10^24 turned into 6.02 only.
if we subtract exponent only should it be 1.8x10/6.02x10?

lime sparrow
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no, in your question it's 6.02×10²³

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which means when you subtract 23 from both top and bottom you get 1.8×10¹/6.02×10⁰

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and anything to the power of 0 is 1

faint river
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$\frac{1.8×10^{24}}{6.02×10^{23}} = \frac{1.8×10^{24-23}}{6.02}$

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What did i do

white valley
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tf?

teal duneBOT
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Ephesians 2:8-9

982398206216376401.png
white valley
lime sparrow
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well you can multiply it out

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so now you have 18/6.02 which happens to have a Factor of 2, however you might want to expand it so you don't have a fractional denominator

white valley
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ohh

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how do i expand again?

lime sparrow
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multiply top and bottom by 50

white valley
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why 50?

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is 50 constant?

lime sparrow
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because 0.02×50=1

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no, anything that makes the decimal = 1

white valley
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ohh

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got it

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multiply da decimal wid something that would turn it into a whole number

white valley
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like gimme an example how to get da 50

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not just by saying "obviously 0.02x50=1"

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wait nvm

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i just i tried converting to fractions

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realized 0.02 is a quarter

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so we get 900/301

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=2.99...

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round off

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=3

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is 3 correct??????

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@lime sparrow @faint river

faint river
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In general you multiply by a factor of 10 to get rid of decimals

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So if you have 0.1 we can multiply by 10 to get 1

white valley
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got it got it

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but is 3 correct?

faint river
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What are you calculating im not sure

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,w 18/6.02

white valley
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the question

faint river
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What?

teal duneBOT
faint river
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That?

white valley
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i rounded off

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yeah

faint river
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Yeah around 3

white valley
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someone is debating saying its 30

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or 30x10^23

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like wtf

faint river
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,calc (1.810^24)/(6.0210^23)

teal duneBOT
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Result:

2.9900332225914
faint river
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Its around 3

white valley
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thanks

faint river
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Np

white valley
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ok so just an example to see if i get it right

2^3x2^4=2^7
2^3x3^2= 72?

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cause if not same base

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just simplify em

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to remove the exponents

faint river
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Yes

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,calc 2^3*2^4

teal duneBOT
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Result:

128
faint river
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,calc 2^7

teal duneBOT
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Result:

128
faint river
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,calc 2^3*3^2

teal duneBOT
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Result:

72
white valley
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that makes so much sense