Introduction

Hello, Year 6! Today, we’re going to learn how to divide a decimal by a two-digit number. This can seem tricky at first, but with some practice and understanding, you will get the hang of it. Let’s break it down step-by-step!

Understanding Decimals

Decimals are numbers that have a whole part and a fractional part, like 4.5 or 2.75. When we divide a decimal, we are trying to split it into equal parts.

Dividing Decimals by Two-Digit Numbers

Step-by-Step Guide

  1. Set Up the Division: Write the decimal number (the number you are dividing) inside the division bracket and the two-digit number outside.Example: Divide 7.2 by 24. ______ 24 | 7.20
  2. Ignore the Decimal for Now: To make it easier, you can think of the decimal as a whole number first. For 7.2, treat it as 72 (but remember where the decimal is!).
  3. Divide Like Whole Numbers: Start dividing just like you would with whole numbers.
    • How many times does 24 go into 72? It goes 3 times (because 24 x 3 = 72).
    • Write 3 above the line.
    0.3 ______ 24 | 7.20 - 72 ----- 0
  4. Place the Decimal: Since we started with a decimal in the original number, place the decimal point directly above in the answer.
  5. Add Zeros if Necessary: If there are any remainders or if the division doesn’t finish evenly, you can add a zero to the decimal and continue dividing.

Example

Let’s try another example. Divide 5.4 by 18.

  1. Set up: ______ 18 | 5.40
  2. Ignore the decimal temporarily and think of 5.4 as 54.
  3. How many times does 18 go into 54? It goes 3 times (18 x 3 = 54). 0.3 ______ 18 | 5.40 - 54 ----- 0
  4. Place the decimal point, and since there are no remainders, our answer is 0.30 or simply 0.3.

Key Rules

  • Always place the decimal point: Remember to put the decimal point in the answer directly above where it is in the number you are dividing.
  • Add zeros if needed: If you run out of digits in the decimal, you can add zeros to continue dividing.
  • Practice makes perfect: The more you practice, the easier it will become.

Tips and Tricks

  • Use estimation: Before dividing, you can estimate how many times the two-digit number might fit into the decimal to help guide your thinking.
  • Check your work: After you find an answer, you can multiply back to see if it makes sense.

Questions

Easy Level (20 Questions)

  1. Divide 1.2 by 12.
  2. Divide 3.6 by 18.
  3. Divide 4.5 by 15.
  4. Divide 5.0 by 25.
  5. Divide 2.4 by 12.
  6. Divide 6.3 by 21.
  7. Divide 3.0 by 30.
  8. Divide 7.2 by 36.
  9. Divide 8.4 by 28.
  10. Divide 9.0 by 45.
  11. Divide 2.5 by 25.
  12. Divide 4.8 by 24.
  13. Divide 1.5 by 15.
  14. Divide 5.4 by 18.
  15. Divide 6.6 by 33.
  16. Divide 3.3 by 11.
  17. Divide 4.2 by 14.
  18. Divide 2.2 by 22.
  19. Divide 7.5 by 25.
  20. Divide 8.0 by 40.

Medium Level (20 Questions)

  1. Divide 7.8 by 39.
  2. Divide 5.6 by 28.
  3. Divide 9.6 by 48.
  4. Divide 6.4 by 32.
  5. Divide 8.1 by 27.
  6. Divide 2.7 by 21.
  7. Divide 4.4 by 22.
  8. Divide 3.9 by 13.
  9. Divide 7.5 by 25.
  10. Divide 6.5 by 65.
  11. Divide 4.9 by 49.
  12. Divide 8.2 by 82.
  13. Divide 5.2 by 26.
  14. Divide 3.8 by 19.
  15. Divide 7.0 by 70.
  16. Divide 9.0 by 90.
  17. Divide 2.6 by 13.
  18. Divide 1.8 by 9.
  19. Divide 2.9 by 29.
  20. Divide 5.1 by 17.

Hard Level (20 Questions)

  1. Divide 9.75 by 25.
  2. Divide 8.56 by 32.
  3. Divide 4.89 by 21.
  4. Divide 7.41 by 37.
  5. Divide 3.84 by 16.
  6. Divide 6.72 by 24.
  7. Divide 5.67 by 19.
  8. Divide 9.12 by 76.
  9. Divide 1.44 by 12.
  10. Divide 0.99 by 33.
  11. Divide 2.88 by 24.
  12. Divide 3.36 by 42.
  13. Divide 4.56 by 56.
  14. Divide 6.78 by 54.
  15. Divide 5.91 by 27.
  16. Divide 7.20 by 60.
  17. Divide 8.64 by 48.
  18. Divide 9.99 by 33.
  19. Divide 1.50 by 30.
  20. Divide 2.55 by 85.

Answers

Easy Level Answers

  1. 0.1
  2. 0.2
  3. 0.3
  4. 0.2
  5. 0.2
  6. 0.3
  7. 0.1
  8. 0.2
  9. 0.3
  10. 0.2
  11. 0.1
  12. 0.2
  13. 0.1
  14. 0.3
  15. 0.2
  16. 0.3
  17. 0.3
  18. 0.1
  19. 0.3
  20. 0.2

Medium Level Answers

  1. 0.2
  2. 0.2
  3. 0.2
  4. 0.2
  5. 0.3
  6. 0.1
  7. 0.2
  8. 0.3
  9. 0.3
  10. 0.1
  11. 0.1
  12. 0.1
  13. 0.2
  14. 0.2
  15. 0.1
  16. 0.1
  17. 0.2
  18. 0.2
  19. 0.1
  20. 0.3

Hard Level Answers

  1. 0.39
  2. 0.27
  3. 0.23
  4. 0.20
  5. 0.24
  6. 0.28
  7. 0.30
  8. 0.12
  9. 0.12
  10. 0.03
  11. 0.12
  12. 0.08
  13. 0.08
  14. 0.12
  15. 0.22
  16. 0.12
  17. 0.18
  18. 0.30
  19. 0.05
  20. 0.03

Conclusion

And that’s how you divide decimals by two-digit numbers! Remember to practice, and you’ll become more confident. If you have any questions, feel free to ask! Happy dividing!