Examine the list below.
55 percent sign comma space minus 23 comma space 2 over 3 comma space left parenthesis 58 space cross times space 10 squared right parenthesis comma space 7.5

Which answer choice shows the list in order from greatest to least?
A.left parenthesis 58 cross times 10 squared right parenthesis comma space 7.5 comma space 2 over 3 comma space 55 percent sign comma space minus 23
B.negative 23 comma space 55 percent sign comma space 2 over 3 comma space 7.5 comma space left parenthesis 58 cross times 10 squared right parenthesis
C.2 over 3 comma space 7.5 comma space minus 23 comma space 55 percent sign comma space left parenthesis 58 cross times 10 squared right parenthesis
D.left parenthesis 58 cross times 10 squared right parenthesis comma space 55 percent sign comma space minus 23 comma space 7.5 comma space 2 over 3


To order the list from greatest to least, we need to first evaluate each of the given values in the list:

1. **\( 58 \times 10^2 \)**: This is equivalent to \( 58 \times 100 = 5800 \).
2. **7.5**: This is already a decimal number, so it's simply 7.5.
3. **\( \frac{2}{3} \)**: As a decimal, this is approximately 0.6667.
4. **55%**: 55 percent is equal to \( \frac{55}{100} = 0.55 \).
5. **-23**: This is a negative number, so it is smaller than any positive number.

Now, arrange the values from greatest to least:

- \( 5800 \)
- \( 7.5 \)
- \( \frac{2}{3} \approx 0.6667 \)
- \( 55\% \approx 0.55 \)
- \( -23 \)

Looking at the answer choices, **option A** correctly lists the values from greatest to least:
\( \left( 58 \times 10^2 \right), 7.5, \frac{2}{3}, 55\%, -23 \).

Thus, the correct answer is **A**.

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Would you like details or have any questions? Here are 5 related questions for practice:

1. How do you convert a percentage to a decimal?
2. How do you evaluate an expression with exponents?
3. What is the decimal equivalent of common fractions like \( \frac{1}{2} \) and \( \frac{3}{4} \)?
4. How does the order of operations affect the calculation of \( 58 \times 10^2 \)?
5. Why is -23 smaller than both positive fractions and decimals?

**Tip**: When ordering fractions, decimals, and percentages together, always convert them to the same form (e.g., decimals) for easy comparison.

Which answer choice shows the list in order from greatest to least? 55%, -23, 2/3, (58 × 10^2), 7.5

Learn how to order a list of numbers from greatest to least, including exponents, fractions, percents, and negative numbers. This detailed solution walks through converting percentages to decimals, fractions to decimals, and calculating exponents. Ideal for students in Grades 5-7.

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