Question

Here is a set of signed numbers: 7, -3, LaTeX: \frac{1}{2}1 2, -0.8, 0.8, LaTeX: -\frac{1}{10}− 1 10, -2 Order the numbers from least to greatest. Group of answer choices 7, 0.8, 1/2, -1/10, -0.8, -2, -3 -3, -2, -0.8, -1/10, 1/2, 0.8, 7 -1/10, 1/2, -0.8, 0.8, -2, -3, 7

Answer 1

`-3, -2, -0.8, -(1)/(10) ,(1)/(2), 0.8, 7`

Explanation:

Given

`7, -3, (1)/(2), -0.8, 0.8, -(1)/(10), -2`

Required

Order from least to greatest

`7, -3, (1)/(2), -0.8, 0.8, -(1)/(10), -2`

Convert 1/2 and -1/10 to decimals

`7, -3, 0.5, -0.8, 0.8, -0.1, -2`

Negative numbers are always the least of all numbers.

In the given list, the negative numbers are:

`-3, -0.8, -0.1, -2`

The higher the magnitude of a negative number, the smaller it is.

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Take for instance: -7 and -8.

-8 has a magnitude of 8 and -7 has a magnitude of 7.

Because 8 > 7 (the magnitudes), then

-8 < -7

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Using the above analysis:

`-3, -0.8, -0.1, -2` from least to greatest is:

`-3, -2, -0.8, -0.1`

Considering the positive numbers:

`7, 0.5, 0.8`

From least to greatest, it is:

`0.5, 0.8, 7`

Merge the negative and the positive numbers:

`-3, -2, -0.8, -0.1,0.5, 0.8, 7`

Convert 0.5 and -0.1 back to fractions

`-3, -2, -0.8, -(1)/(10) ,(1)/(2), 0.8, 7`