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How do you put the following in descending order #8.01 times 10^2, 10^-1, 10^5, 1/2, 3.79#?

Answer 1

Kennedy Adams

One way is to put them all into scientific notation and rank by the exponent.

# 8.01 xx 10^2, 1 xx 10^(−1), 1 xx 10^5, 5.0 xx 10^-1, 3.79 xx 10^0#

smallest exponent to largest exponent, in order:

# 1 xx 10^(−1), 5.0 xx 10^-1, 3.79 xx 10^0, 8.01 xx 10^2, 1 xx 10^5#

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Answer 2

Julia Adams

To put the given numbers in descending order, arrange them from largest to smallest:

( 10^5 )
( 8.01 \times 10^2 )
( 3.79 )
( \frac{1}{2} )
( 10^{-1} )

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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.