How do you rearrange these numbers from least to greatest {−3,−72,6,13,√3,0,8,−5,9,−11}?

2 Answers
AltairSafir
Apr 23, 2018

Let's start with positive numbers:
{6,13,√3,8,9}
Rearrange it:
{13,√3,6,8,9}
Look at the rest:
{−3,−72=−3.5,0,−5,−11}

Remember that more negative numbers are "smaller" then less negative numbers: for example −2>−15

Rearrange it, starting with −11.
{−11,−5,−72,−3,0}

The result is:
{−11,−5,−72,−3,0,13,√3,6,8,9}

EZ as pi
Apr 23, 2018

−11,−5, −72, −3, 0, 13, √3, 6, 8, 9}

Explanation:

Negative numbers are always smaller than positive numbers, so start with those. The further a negative number is away from 0, the smaller it is.

−3, −72, 6, 13, √3, 0, 8, −5, 9, −11

Negatives in order: −11, −5, −72, −3 (−72=−3.5)

Compare the positives by changing them to decimals.

√3=1.73and13=1.333

positives in order:

13, √3, 6, 8, 9

0 is in the middle.

{−11,−5, −72, −3, 0,13,√3, 6, 8, 9}

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