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marshall27 [118]
3 years ago
13

How do i convert 30270000 into scientific notation

Mathematics
2 answers:
Anna [14]3 years ago
4 0

Answer

3.027 × 10^7

I'm not the best at explaining but here is my attempt

You start with 30270000 you write the first number which is 3 then put a decimal and then put the rest of the numbers until the rest of the numbers are zeros..


3.027

Then put a × 10^

3.027 × 10^

And then the original number's digit count minus 1 is the number so 0270000 is 7 digits so the answer is

3.027 × 10^7


Sorry i'm horrible at explaining

kari74 [83]3 years ago
4 0

Answer:

3.027 × 10^7

Step-by-step explanation:

30270000

We need to move the decimal until there is only one digit to the left of the decimal.  So we move it 7 places to the left.The 7 becomes out exponent.  When we move it to the left, the exponent is positive.  If we had moved it to the right, our exponent would have been negative

3.0270000 * 10 ^7

We can drop the trailing zero's

3.027 * 10 ^7

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Which of the following expressions is equivalent to a3 + b3?
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{a}^{3}  + {b}^{3} = (a + b)( {a}^{2 }  - ab +  {b}^{2} )


EXPLANATION

To find the expression that is equivalent to
{a}^{3}  + {b}^{3}
we must first expand
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Then we rearrange to find the required expression.


So let's get started.


{(a + b)}^{3}  = (a + b) {(a + b)}^{2}

We expand the parenthesis on the right hand side to get,



{(a + b)}^{3}  = (a + b) ( {a}^{2} + 2ab +  {b}^{2}  )



We expand again to obtain,

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Let us group the cubed terms on the right hand side to get,

{(a + b)}^{3}  =  {a}^{3}   +  {b}^{3}  + 3 {a}^{2}b + 3a {b}^{2}




{(a + b)}^{3}  =  {a}^{3}   +  {b}^{3}  + 3ab (a+ b)





We make the cubed terms the subject,

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We factor to get,


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We expand the bracket on the left hand side to get,

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We finally simplify to get,

(a + b)( {a}^{2}   - ab +  {b}^{2}  ) =  {a}^{3}   +  {b}^{3}
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