Questions: Rewrite the following set of numbers in order from the smallest number to the largest number. -2,4,-4,0,-1 / 3,6,-4 / 3 6,4,0,-1 / 3,-4 / 3,-2,-4 0,-4,-2,-1 / 3,-4 / 3,4,6 -1 / 3,-4 / 3,-2,-4,0,4,6 -4,-2,-4 / 3,-1 / 3,0,4,6

Rewrite the following set of numbers in order from the smallest number to the largest number. -2,4,-4,0,-1 / 3,6,-4 / 3 6,4,0,-1 / 3,-4 / 3,-2,-4 0,-4,-2,-1 / 3,-4 / 3,4,6 -1 / 3,-4 / 3,-2,-4,0,4,6 -4,-2,-4 / 3,-1 / 3,0,4,6
Transcript text: Rewrite the following set of numbers in order from the smallest number to the largest number. $\{-2,4,-4,0,-1 / 3,6,-4 / 3\}$ $\{6,4,0,-1 / 3,-4 / 3,-2,-4\}$ $\{0,-4,-2,-1 / 3,-4 / 3,4,6\}$ $\{-1 / 3,-4 / 3,-2,-4,04,6\}$ $\{-4,-2,-4 / 3,-1 / 3,0,4,6\}$
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Solution

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Solution Steps

To solve this problem, we need to sort the given set of numbers in ascending order. We will convert the fractions to decimal form to make the comparison easier, then sort the list, and finally convert it back to the original form if necessary.

Step 1: List the Given Numbers

The given set of numbers is: \[ \{-2, 4, -4, 0, -\frac{1}{3}, 6, -\frac{4}{3}\} \]

Step 2: Convert Fractions to Decimal Form

Convert the fractions to their decimal equivalents: \[ -\frac{1}{3} \approx -0.3333 \quad \text{and} \quad -\frac{4}{3} \approx -1.3333 \]

So, the set becomes: \[ \{-2, 4, -4, 0, -0.3333, 6, -1.3333\} \]

Step 3: Sort the Numbers in Ascending Order

Sort the numbers from smallest to largest: \[ \{-4, -2, -1.3333, -0.3333, 0, 4, 6\} \]

Step 4: Convert Decimals Back to Fractions

Convert the decimal approximations back to their original fraction forms: \[ \{-4, -2, -\frac{4}{3}, -\frac{1}{3}, 0, 4, 6\} \]

Final Answer

\(\boxed{\{-4, -2, -\frac{4}{3}, -\frac{1}{3}, 0, 4, 6\}}\)

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