How to Change Decimals to Percents and Percents to Decimals (Over 100%)
FAQs on Convert Decimals to Percents and Vice Versa: Class 6 Maths Practice
1. How do you convert a decimal to a percentage?
To convert a decimal to a percentage, you multiply the decimal by 100 and add a percent sign (%). This process involves shifting the decimal point two places to the right.
- Example 1: To convert 0.75, you calculate 0.75 × 100 = 75%.
- Example 2 (Over 100%): To convert 1.25, you calculate 1.25 × 100 = 125%.
2. How do you convert a percent to a decimal?
To convert a percent to a decimal, you remove the percent sign (%) and divide the number by 100. This is the same as moving the decimal point two places to the left.
- Example 1: To convert 65%, you calculate 65 ÷ 100 = 0.65.
- Example 2 (Over 100%): To convert 150%, you calculate 150 ÷ 100 = 1.5.
3. How do you convert a percentage over 100% to a decimal?
The rule for converting a percentage over 100% to a decimal is exactly the same as for any other percentage. Simply remove the percent sign (%) and divide the number by 100.
- For instance, to convert 275% to a decimal, you perform the calculation: 275 ÷ 100 = 2.75. This shows that percentages greater than 100 correspond to decimal values greater than 1.
4. What is an example of converting a decimal greater than 1 into a percentage?
To convert a decimal greater than 1 into a percentage, you multiply it by 100, which will always result in a percentage over 100%. This is a key concept covered in this Class 6 Maths worksheet.
- Example: Convert the decimal 3.5 to a percentage.
- Step 1: Multiply the decimal by 100: 3.5 × 100 = 350.
- Step 2: Add the percent sign: 350%.
5. Why is knowing how to convert decimals to percents and vice versa important?
Understanding the conversion between decimals and percents is a crucial math skill for real-life applications. This knowledge helps in interpreting information related to finance, statistics, and shopping.
- Shopping: Calculating discounts (e.g., 25% off is 0.25 times the price).
- Academics: Understanding exam scores (e.g., 0.92 is 92%).
- Finance: Calculating interest rates on savings or loans.
6. Does this Class 6 Maths worksheet on decimals and percents come with an answer key?
Yes, this Class 6 Maths worksheet includes a complete answer key for all practice questions. The key allows students to check their work, understand their mistakes, and study independently, making it perfect for homework or revision.
7. Is this decimal to percentage worksheet available as a printable PDF?
Yes, this decimal to percentage worksheet is provided as a free, downloadable, and print-friendly PDF file. This format makes it easy for parents and teachers to print copies for classroom activities, homework assignments, or extra practice at home.
8. What specific topics are covered in this Grade 6 maths worksheet?
This Grade 6 maths worksheet is specifically designed to build math fluency in the conversion between decimals and percentages. The main topics covered are:
- Converting decimals to percentages, including decimals greater than 1 (resulting in values over 100 percent).
- Converting percentages to decimals, including percentages below, equal to, and over 100%.
- Fill-in-the-blanks and direct practice questions to reinforce the concepts.
9. How can this worksheet help with maths revision for Class 6?
This worksheet is an excellent tool for maths revision because it offers focused practice on a core concept. By repeatedly solving conversion problems, students can strengthen their understanding, improve their speed and accuracy, and build confidence before exams. The included answer key facilitates self-assessment and targeted learning.
10. What is a common mistake students make when converting percents to decimals?
A common mistake is forgetting to move the decimal point or moving it in the wrong direction. To convert a percent to a decimal, you must divide by 100, which means the decimal point moves two places to the left. For example, some students might incorrectly write 45% as 4.5 instead of the correct answer, 0.45.



















