Order 6.3, -6 4/9, 630%, and -6.1 from least to greatest.

Understand the Problem

The question is asking to order the values of 6.3, -6 4/9, 630%, and -6.1 from least to greatest. To solve this, we will need to convert each value to a common format for comparison, typically as decimals.

Answer

The ordered values are: $$ -6 \frac{4}{9}, -6.1, 6.3, 630\% $$

Steps to Solve

Convert each value to decimal
- Convert (630%) to decimal: $$ 630% = 630 \div 100 = 6.3 $$
- Convert (-6 \frac{4}{9}) to decimal:
  - First, convert the fraction ( \frac{4}{9} ) to decimal: $$ \frac{4}{9} \approx 0.444 $$
  - Now calculate: $$ -6 \frac{4}{9} = -6 - 0.444 = -6.444 $$
- Convert (-6.1) to decimal (already in decimal form): $$ -6.1 = -6.1 $$
List all values for comparison
- Now, our values are:
  - (6.3) (from (630%))
  - (-6.444) (from (-6 \frac{4}{9}))
  - (-6.1)
Identify the order from least to greatest
- Compare the decimal values:
  - The smallest is (-6.444)
  - Next is (-6.1)
  - Finally, (6.3)
- Therefore, from least to greatest, the order is: $$ -6.444, -6.1, 6.3 $$

The values ordered from least to greatest are: $$ -6 \frac{4}{9}, -6.1, 6.3, 630% $$

More Information

This ordering clarifies how to compare rational numbers in both fractional and decimal forms. It's essential to convert all values to a common format for easier comparison.

Tips

Miscalculating fractions: When converting ( \frac{4}{9} ), one might forget to convert to a decimal correctly.
Confusing percentages with decimals: Remember to divide percentages by 100 to convert to decimals.

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