Dalen has a set of real numbers that needs to be ordered from least to greatest.

Which of the following shows the order Dalen should place his numbers?
A.227, 200%, 53, 2–√

B.2–√, 53, 200%, 227

C.53, 200%, 227, 2–√

D.2–√, 53, 227, 200%


To determine the correct order from least to greatest, let's evaluate each number:

1. **\( 227 \)**: This is already a number, and it equals \( 227 \).

2. **\( 200\% \)**: This means \( 200\% \) of something, which is \( 200\% \times 1 = 2 \).

3. **\( 53 \)**: This is already a number, and it equals \( 53 \).

4. **\( \sqrt{2} \)**: The square root of 2 is approximately \( 1.414 \).

Now, let's list all the numbers:

- \( \sqrt{2} \approx 1.414 \)
- \( 2 \)
- \( 53 \)
- \( 227 \)

The correct order from least to greatest is:

- \( \sqrt{2} \approx 1.414 \)
- \( 2 \)
- \( 53 \)
- \( 227 \)

This corresponds to **Option B**: \( \sqrt{2}, 53, 200\%, 227 \).

Would you like further details or have any questions?

Here are 5 related questions to think about:
1. How do you convert percentages to decimals?
2. What is the decimal approximation of \( \sqrt{3} \)?
3. How can you compare irrational numbers with rational numbers?
4. What are some common square roots to memorize for quicker calculations?
5. How do percentages greater than 100% compare to whole numbers?

**Tip:** When comparing different types of numbers, it's often helpful to convert all numbers to decimals for easier comparison.

Learn how to order a set of real numbers including percentages and square roots. This problem involves understanding percentages, square roots, and comparing different types of numbers. Suitable for students in Grades 7-9.

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