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Mademuasel [1]
3 years ago
11

(8.9× 10^4)(4× 10^8) (SCIENTIFIC NOTATION)

Mathematics
2 answers:
oksian1 [2.3K]3 years ago
7 0
Hello!

According to my calculations, (8.9 x 10^4) x (4 x 10^8<span>) is equal to </span>3.56 x 10^13(you may also see expressed as 3.56e13 or 3.56E13).

The following table shows the steps I took to perform the Multiplication on the entered scientific notations.

<span><span>Multiplication Steps      (8.9 x 10^4) x (4 x 10^8)
</span><span>Group like terms:           <span>= (8.9 x 4) x (10^4 x 10^8)

</span></span><span>Multiply coefficients
and add exponents:       <span>= (35.6) x (10^12)

</span></span><span>Convert to proper SN:    <span>= 3.56 x 10^<span>13

</span></span></span></span><span>In the following table I attempt show how you could arrive at the same answer by converting the scientific notations to real numbers, performing the Multiplication, and then converting the result back to scientific notation.
</span>
<span>Attempt to Check Answer Manually
(8.9 x 10^4) x (4 x 10^8)
</span><span>= (8.9 x 10000) x (4 x 100000000)
</span>= 89000 x 400000000
= 35600000000000
= 3.56 x 10^13

Because the language used to create this calculator is not well-equipped to deal with very large or very small numbers, I actually have to manipulate text strings to generate the results you see above. For this reason I can't guarantee the decimal accuracy of the results.
<span>
But anyways, The Correct Answer = </span>3.56 x 10^<span>13.

</span>
I Hope my answer has come to your Help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead! :)

(Mark As Brainliest IF Helped!)

-TheOneAboveAll :D
Annette [7]3 years ago
5 0
This is equal to:

(8.9*4)(10^4*10^8)

pertinent rule:  (a^b)(a^c)=a^(b+c)

(8.9*4)(10^12)

35.6X10^12

3.56X10^13  (and if we kept only significant figures....)

3.6X10^13
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