anonymous
  • anonymous
Will give medal, Help with Scientific notation,
Mathematics
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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anonymous
  • anonymous
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anonymous
  • anonymous
idk
anonymous
  • anonymous
ok, do you know anyone who would?
anonymous
  • anonymous
anonymous
  • anonymous
you still on that first question?
anonymous
  • anonymous
yep
Jhannybean
  • Jhannybean
It is simply \[(4.5 \cdot 6)(10^{-8-4})\]
anonymous
  • anonymous
I seriously dont get it, how do I get the answer?
mathstudent55
  • mathstudent55
@sadie112 A number written in scientific notation consists of a number from 1 to less than 10 (called the mantissa) multiplied by a power of 10. To multiply two numbers written in scientific notation, multiply the mantissas together, and multiply the powers of 10 together. If the product of the mantissas is a number from 1 to less than 10, then you are done because your product is also in scientific notation. If the product of the mantissas is greater than 10, then you need to adjust the number to make it a number in scientific notation.
mathstudent55
  • mathstudent55
Example: Multiply the two numbers below: \((2 \times 10^4) \times (3 \times 10^6) \) Solution: \(=2 \times 3 \times 10^4 \times 10^6\) \(= 6 \times 10^{4 + 6} \) \(= 6 \times 10^{10}\) Since 6 is from 1 to less than 10, the product is in scientific notation, and we're done. Do you understand it so far?
mathstudent55
  • mathstudent55
Here is a second example that is similar to your problem. Multiply \((5 \times 10^4) \times (6 \times 10^3) \) Solution: \(=5 \times 6 \times 10^4 \times 10^3\) \(= 30 \times 10^7\) We have the product of the two numbers but, because 30 is not less than 10, this product is not in scientific notation, so we need to adjust it. \(= 3 \times 10 \times 10^7\) \(= 3 \times 10^8\) Now we have the correct answer in scientific notation.

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