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zhuklara [117]
3 years ago
14

How do i write 5,972,000,000,000,000,000,000,000kg in Scientific Notation

Mathematics
2 answers:
never [62]3 years ago
8 0
In order to write this in scientific notation, we must move the decimal from the beginning all the way to between the 5 and the 9
Note: you can move the decimal anywhere you want but typically scientific notation will have the decimal in between the first and second digit.

Since we move the decimal 24 digits to the right, our answer will be

5.972 * 10^24
or
5.972E24

Hope this helps!!
storchak [24]3 years ago
6 0
Scientific notation simply means, the amount ends up with one number, that may or may not have decimals, in this case it does, and as a product with 10 at some base.

now, 5,972,000,000,000,000,000,000,000 could also be written as 5,972,000,000,000,000,000,000,000.00, now, notice, the "dot" is all the way to the right, so.... to put it in scientific notation, we need to move that fellow right "in front" of the last digit on the left, so the dot will move from its current location, all the way from the right-side, to in front of the 5.

now, to do so, we have to move it 24 slots, you can count them if you wish, 21 zeros and then the digits of 972 slots, so 24 slots, that means the factof of 10, will have an exponent of, yeap,  you guessed it, 24, so it'll look like 10²⁴, thus

\bf \begin{array}{llll}
5,&972,000,000,000,000,000,000,000.\\
&\leftarrow\qquad  \leftarrow\qquad\leftarrow\qquad\leftarrow\qquad\leftarrow \\
5.&972,000,000,000,000,000,000,000\times 10^{24}\\\\ 5.&972\times 10^{24}
\end{array}
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See Explanation

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