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How do you order the numbers from least to greatest: #1.6, -2/3, -0.5, 3/2, -5/2#?

Answer 1

Skylar Adams

See explanation.

It is better to convert all fractions into decimals, so that we can compare them easier by using decimals.

#1.6#

#-2/3 = -0.666666...#

#-0.5#

#3/2 = 1.5 #

# -5/2 = -2.5 #

#As -2.5 < -0.666... < -0.5 < 1.5 < 1.6#,

# Answer : -5/2 < -2/3 < -0.5 < 3/2 < 1.6 #

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Answer 2

Riley Anderson

To order the numbers from least to greatest, we first convert any fractions to decimal form:

( -\frac{2}{3} = -0.666... )
( \frac{3}{2} = 1.5 )
( -\frac{5}{2} = -2.5 )

Now, we can arrange the numbers:

( -2/3 )
( -0.5 )
( 1.6 )
( 1.5 )
( -2.5 )

So, the numbers in ascending order are: ( -\frac{2}{3} ), ( -0.5 ), ( 1.6 ), ( 1.5 ), ( -2.5 ).

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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.