How do you evaluate #\frac { 5\times 10^ { - 3} } { 8\times 10^ { - 2} }#?

Answer 1

#(5xx10^(-3))/(8xx10^(-2))=6.25xx10^(-2)#

#(5xx10^(-3))/(8xx10^(-2))#
= #5/8xx10^(-3)/10^(-2)#
= #0.625xx10^((-3-(-2)))#
= #0.625xx10^((-3+2))#
= #0.625xx10^(-1)#
= #6.25/10xx10^(-1)#
= #6.25xx10^(-1-1)#
= #6.25xx10^(-2)#
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Answer 2

To evaluate (\frac{5 \times 10^{-3}}{8 \times 10^{-2}}), follow these steps:

  1. Rewrite each number in scientific notation if necessary. In this case, both numbers are already in scientific notation.

  2. Divide the numerical parts: ( \frac{5}{8} ).

  3. Divide the exponential parts: ( 10^{-3} \div 10^{-2} ).

  4. Apply the division rule for exponents: subtract the exponent in the denominator from the exponent in the numerator.

  5. Simplify: ( \frac{5}{8} \times 10^{-3-(-2)} ).

  6. Combine exponents: ( \frac{5}{8} \times 10^{-3+2} ).

  7. Simplify the exponent: ( \frac{5}{8} \times 10^{-1} ).

  8. Convert the result back to standard notation if necessary: ( 0.625 \times 10^{-1} ).

  9. Finally, simplify by moving the decimal point one place to the left and changing the exponent: ( 0.0625 \times 10^0 ).

  10. The final result is (0.0625 \times 10^0) or simply (0.0625).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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