# Questions tagged [scientific-notation]

A way of expressing numbers in the form $a \cdot 10^b$, where $a$ is a real number and $1 < a < 10$, and $b$ is an integer, otherwise known as standard form. This is a concise way to express very large or very small numbers.

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### How to properly note a subset which contains overlapping sets

I try to describe the logic of some algorithms I perform on meshes (in finite element analysis). suppose i have some elements called e within some domain $E_\Omega$, each being a set of nodes n. Those ...
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### $10^6 = 1000000$, which has $6$ zeros before decimal. Then why does $10^{-6} = 0.000001$, has only $5$ zeros after decimal?

I just can't get my head around this. Now I know that $10^{-n}$ = $\frac{1}{10^n}$. But I just can't understand the logic. My question may sound stupid to most people here but I am a beginner at math ...
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### Set builder notation for a list of times at which either of two functions have a certain value

I have two functions of time: $f(t)$ and $g(t)$. These functions oscillate over time at different rates. I am hoping to build a set, $S$, that contains all of the times at which $f(t) = X$, as well as ...
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### How To Interpret E+ or E- Notation in Curves of Best Fit?

I have some data which I plotted using google sheets. I came up with a curve of best fit which was a degree 4 polynomial. The equation I got was: 9E+08 + 1.86E+06x + - 1397x^2 + 0.467x^3 - 5.85E-05x^4 ...
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### What does E x~y notation mean in functions?

In some articles there is a notation like E x~y , does this "E" mean expected value(mean) or it is referring to something else? for example in this formula, how can I read the first part (E ...
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### How to solve a fraction with a numerator in exponential form and a denominator in numerical form without a calculator?

The question: "Imagine unwinding (straightening out) all of the DNA from a single typical cell and laying it "end-to-end"; then the sum total length will be approximately $2$ meters. ...
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### What does 3.199E +01 mean? [duplicate]

What is the exact value of 3.199 E +01 ? Does it mean $3.199\times10^1$?? I get confused with the notation.
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### $N × 10^a$ notation

Today our teacher taught us the $N × 10^a$ notation. He specified that $N$'s value must be $1 ≤ N < 10$ and that $a$ must be an integer. I understood that much but I was wondering, why can't $N$ ...
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### How to interpret scientific notation?

I'm having a problem understanding scientific notation. What is the difference between the following: $$\text{5e2, 5e-2, -5e2, -5e-2}$$
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### What is the Scientific Notation of Zero?

This question was asked here, where the answer uses this description. The last line reads: "The special case of $0$ does not have a unique representation in scientific notation, i.e., \$0=0×10^0=0×...
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### Scientific notation and negative numbers

My daughter is learning scientific notation in school, and her textbook says something to the effect of this: Scientific notation is a method of writing numbers as the product of two factors where ...
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