#Can I cancel these out? If so Why

53 messages · Page 1 of 1 (latest)

earnest kayak
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oak cliff
# earnest kayak

I'm actually not sure what you're trying to do here. The calculation you're performing has a dimension of inverse time.

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Like, why are you dividing a speed by a length to begin with?

oak cliff
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Ah, right. Hertz.

earnest kayak
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i red circled in paint

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Like how can she jsut

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cancel out the meters

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they arent even aligned

oak cliff
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"Aligned"?

earnest kayak
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yes

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like its not next to 3.00 x 10^8 m/s

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its next to 490 nm

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its alligned with 490 nm

oak cliff
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...what does "alignment" mean in mathematical notation terms?

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Like, I can just write anything next to anything, but in math, that should mean something specific.

earnest kayak
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This whole thing

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This

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They are crossing each other

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nm crosses nm

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so they cancel each other out

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isnt that how its supposed to be in math?

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they are perfectly alligned making an X

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So you are able to cancel them out

oak cliff
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Okay, stop.

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Write it in single-line notation.

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That is, type what you think the expression is saying, using parentheses as necessary.

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The whole expression.

earnest kayak
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What

oak cliff
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...order of operations...

earnest kayak
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m/s and the m doesnt allign how can he cancel them

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there meters

oak cliff
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You will see how when you type the expression out.

earnest kayak
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what expression

oak cliff
earnest kayak
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you want me to type it here

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I dont get it

oak cliff
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In mathematics, an expression is a written arrangement of symbols following the context-dependent, syntactic conventions of mathematical notation. Symbols can denote numbers (constants), variables, operations, functions. Other symbols include punctuation signs and brackets (often used for grouping, that is for considering a part of the expressi...

earnest kayak
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(3.00 x 10^8 m/s) / ((490 nm / 1) x (10^-9 m / 1 nm))

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is this what you want

oak cliff
earnest kayak
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how can i do it when there is 10^-9 meter in there but 490 nm / 1 doesnt have any meters so you cant cancel them out

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first step ok i cancelled out nanometers now there is still meter at 10^-9 that you cannot cancel or send anywhere

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This is the order of operation i drew it and sent it before

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you cancel out the nanometers and there is a meter left since 10^-9 m isnt next to 3.00 x 10^8 m/s you cannot cancel out the meters right?

oak cliff
opal steppe
# earnest kayak

This is correct. 490 nm = 490*10^(-9) m. Or 4.9*10^(-7) m in standard form.

earnest kayak