To order the numbers from least to greatest, let's first convert each number to a decimal or comparable form.

Given Numbers:

1. $4.27$
2. $4 \frac{7}{9}$
3. $4.279$
4. $\frac{19}{4}$

Step 1: Converting Each Number

1. 4.27 - This is already in decimal form.
2. $4 \frac{7}{9}$ - Convert the fraction: $4 + \frac{7}{9} = 4 + 0.777... = 4.777...$
3. 4.279 - This is already in decimal form.
4. $\frac{19}{4}$ - Convert to a decimal: $\frac{19}{4} = 4.75$

Step 2: Ordering from Least to Greatest

Now, let's list these values in decimal form for comparison:

• $4.27$
• $4.75$
• $4.777...$
• $4.279$

Arranging them in order from least to greatest:

1. $4.27$
2. $4.279$
3. $\frac{19}{4}$ (4.75)
4. $4 \frac{7}{9}$ (4.777...)

Final Answer:

The numbers in order from least to greatest are: $4.27 < 4.279 < \frac{19}{4} < 4 \frac{7}{9}$

Would you like more details or have any questions about these steps?

Here are 5 related questions to deepen understanding:

1. How do you convert a mixed fraction to a decimal?
2. What are other methods to compare fractions without converting to decimals?
3. Why is it important to order decimals precisely?
4. How can you compare fractions with different denominators quickly?
5. What other real-life scenarios require ordering numbers?

Tip: When comparing fractions and decimals, converting all numbers to decimal form often makes the comparison easier.