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What is the result of (9.8x10⁸) - (4.5x10⁴)?

a) 9.79955x10⁸
b) 9.800455x10⁸
c) 9.79955x10³
d) 9.8x10³

User Bane
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1 Answer

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Final answer:

The correct result of (9.8x10^8) - (4.5x10^4) is approximately 9.799955x10^8, which matches closely with given option a) after assuming a typographical error.

Step-by-step explanation:

Calculating the result of (9.8x108) - (4.5x104) involves understanding scientific notation and the proper method for subtracting numbers in this form. To perform the subtraction, we need to make sure that both numbers have the same exponent.

First, convert (4.5x104) to a number with an exponent of 8 to match (9.8x108). The number (4.5x104) is equivalent to (0.000045x108). Now the subtraction is straightforward:

  • 9.8x108
  • - 0.000045x108

Subtracting these gives a result of 9.799955x108, which is close to one of the given options but none of the options match exactly. Therefore, assuming there's a typographical error in the options, the closest correct option would be a) 9.79955x108.

User Markemus
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