Switching between decimals and percentages is an important skill you learn in Year 9 math. It might seem a little puzzling at first, but don’t worry! Breaking it down into simple steps can help a lot. Here’s how to do it:

How to Change Decimals to Percentages

1. What Do Percentages Mean?
   Percentages show a part out of 100. For example, 25% means 25 out of 100.

2. Multiply by 100:
   To turn a decimal into a percentage, just multiply it by 100. For example, if you have $0.75$:

   $$0.75 \times 100 = 75\%$$

   That’s all! You just move the decimal point two places to the right and add the percent sign.

3. More Examples:

   • For $0.5$:
   $$0.5 \times 100 = 50\%$$
   • For $0.01$:
   $$0.01 \times 100 = 1\%$$

How to Change Percentages to Decimals

1. Think About the Percentage:
   Remember, percentages are out of 100.

2. Divide by 100:
   To go from a percentage back to a decimal, divide it by 100. So for $60\%$, you would do:

   $$60 \div 100 = 0.6$$

   You can also move the decimal point two places to the left.

3. More Examples:

   • For $25\%$:
   $$25 \div 100 = 0.25$$
   • For $100\%$:
   $$100 \div 100 = 1.0$$

Quick Tips to Remember

• Draw It Out:
  Sometimes, making a simple picture, like a pie chart, helps you see how percentages relate to decimals. It can be a fun way to understand!

• Use Real-Life Stuff:
  Try using these conversions with things you like! For example, if you want to know how much you save when there's a $25\%$ discount on a video game, convert it to decimal ($0.25$). Then you can easily figure out the savings!

• Use a Calculator:
  If you're having a hard time, don't hesitate to use a calculator for quick help. You can practice doing it by hand later!

Summary

To wrap it up, switching between decimals and percentages is not just about memorizing steps. It's about understanding what you're doing. Here’s a quick recap:

• Decimal to Percentage: Multiply by 100.
• Percentage to Decimal: Divide by 100.

Once you get the hang of it, it will feel easy. You might feel a bit confused at first (we’ve all been there!), but keep practicing with different numbers, and it will get simpler over time. Enjoy learning math, and remember to have fun with it!