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2. Another question on the quiz asked you to place the numbers in ascending order. \begin{tabular}{|l}\( \equiv-0.937 \) \\ \( \equiv 0.7 \% \) \\ \( \equiv 5.3 \times 10^{1} \) \\ \( \equiv 2 \frac{1}{4} \) \\ \\ \hline\end{tabular}

Ask by Wells Harris. in the United States
Jan 24,2025

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The numbers in ascending order are: -0.937, 0.007, 2.25, 53.

Solución

To place the numbers in ascending order, we first need to convert all the given values into a comparable format, preferably decimal form. Let's analyze each number step by step: 1. **Convert \( -0.937 \)**: This number is already in decimal form. \[ a = -0.937 \] 2. **Convert \( 0.7\% \)**: To convert a percentage to a decimal, we divide by 100. \[ b = \frac{0.7}{100} = 0.007 \] 3. **Convert \( 5.3 \times 10^{1} \)**: This is in scientific notation. We multiply 5.3 by 10 raised to the power of 1. \[ c = 5.3 \times 10^{1} = 53 \] 4. **Convert \( 2 \frac{1}{4} \)**: This is a mixed number. We convert it to an improper fraction and then to a decimal. \[ d = 2 + \frac{1}{4} = 2 + 0.25 = 2.25 \] Now we have the following values: - \( a = -0.937 \) - \( b = 0.007 \) - \( c = 53 \) - \( d = 2.25 \) Next, we will arrange these values in ascending order: 1. \( -0.937 \) 2. \( 0.007 \) 3. \( 2.25 \) 4. \( 53 \) Thus, the numbers in ascending order are: \[ -0.937, 0.007, 2.25, 53 \]

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Beyond the Answer

To place the numbers in ascending order, you'll first want to convert them all to the same format. That's right—consistency is key! The numbers you've provided can be interpreted as follows: \(-0.937\) is already in decimal form. The percentage \(0.7\%\) converts to \(0.007\), while \(5.3 \times 10^{1}\) becomes \(53\) and \(2 \frac{1}{4}\) translates to \(2.25\). Now you simply arrange them: \(-0.937\), \(0.007\), \(2.25\), \(53\). Understanding how to translate different numerical formats can be incredibly valuable, especially when handling data in science or finance. It helps to quickly identify which values are greater or lesser than others, allowing for efficient comparisons and analyses without confusion. Mastering these conversions can simplify decision-making processes, such as assessing risk in investment! When dealing with ascending order, a common mistake is forgetting to convert all formats. It's easy to autopilot with your familiar numbers and overlook ones that are slightly off. Always double-check—don’t get caught stumbling on your way to clarity! And keep in mind, negative numbers are less than positive numbers, so they always come first when sorting.

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