Order from least to greatest 1 over 3 and 0.16 sqaure root of 1 over 4

Let's first evaluate and compare each of the given numbers:

1. **\(\frac{1}{3}\)**:  
   This fraction is approximately equal to 0.333.

2. **\(0.16\)**:  
   This is already in decimal form.

3. **\(\sqrt{\frac{1}{4}}\)**:  
   The square root of \(\frac{1}{4}\) is equal to \(\frac{1}{2} = 0.5\).

Now we have the numbers:

\[
0.16, \quad 0.333, \quad 0.5
\]

From least to greatest, they are:

\[
0.16, \quad \frac{1}{3} \quad (0.333), \quad \sqrt{\frac{1}{4}} \quad (0.5)
\]

Thus, the order is:

\[
0.16, \quad \frac{1}{3}, \quad \sqrt{\frac{1}{4}}
\]

Would you like further details or have any questions?

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**Related Questions:**

1. How can you compare fractions and decimals directly?
2. What is the square root of other common fractions?
3. How do you convert repeating decimals to fractions?
4. How can you estimate square roots quickly?
5. How do you find the order of mixed numbers and decimals?

**Tip:** When comparing fractions and decimals, it’s often easiest to convert fractions to decimal form first!

Order from least to greatest 1 over 3 and 0.16 square root of 1 over 4.

Learn how to order 1/3, 0.16, and √(1/4) from least to greatest by converting fractions to decimals and applying the square root formula. Understand key math concepts, including fraction-to-decimal conversion and square root calculation. Suitable for students in Grades 6-8.

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