Converting Decimal to Percentage

Converting a decimal to a percentage is a straightforward process that involves two main steps: multiplying the decimal by 100 and adding a percentage sign (%). This conversion is essential in various real-world scenarios, like finance, statistics, and everyday calculations.

Step-by-Step Guide to Convert Decimal to Percentage

1. Understand the Decimal: A decimal is a number that represents a part of a whole. For example, the decimal 0.75 represents 75 parts out of 100.

2. Multiply by 100: To convert a decimal to a percentage, multiply the decimal by 100. This step effectively shifts the decimal point two places to the right, transforming the number into a whole number out of 100.

   Example: For the decimal 0.85, you would do the following calculation:

   [ 0.85 imes 100 = 85 ]

3. Add the Percentage Sign: After multiplying by 100, the final step is to simply append the percentage sign (%) to the result.

   Using our previous example, you would write:

   Result: 85%

Additional Examples

• Example 1: Convert 0.25 to a percentage.

  • Calculation: [ 0.25 \times 100 = 25 ]
    • Result: 25%

• Example 2: Convert 0.5 to a percentage.

  • Calculation: [ 0.5 \times 100 = 50 ]
    • Result: 50%

• Example 3: Convert 1.2 to a percentage.

  • Calculation: [ 1.2 \times 100 = 120 ]
    • Result: 120%

Summary

Converting decimals to percentages is an essential skill that can simplify various mathematical problems. Remember the key steps:

• Multiply your decimal by 100.
• Add the percentage sign (%).

By practicing these steps with different decimals, you'll become more confident in converting them to percentages.

Helpful Tips

• Practice: Use a range of decimal numbers, including those less than 1 and greater than 1, to get comfortable with both types.
• Reverse the Process: Try converting percentages back to decimals by dividing by 100 to solidify your understanding.
• Visual Aids: Consider drawing a number line or using pie charts to visualize the relationship between fractions, decimals, and percentages.
• Common Conversion: Remember that common fractions have decimal equivalents that can help (e.g., 1/2 = 0.5, 1/4 = 0.25).