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Mastering Decimals and Fractions | Essential Guide for Understanding Number Operations

Learn to write decimals as fractions by grasping place value concepts. Discover how to convert fractions to decimals easily. Practice comparing, ordering, and solving mixed problems involving numbers and operations. Keep honing your skills!

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Mastering Decimals and Fractions | Essential Guide for Understanding Number Operations

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  1. Number and Operations Supporting Idea

  2. Decimals as Fractions To write decimals as fractions, you must understand place-value!

  3. Numbers that end here have a denominator of 10 Numbers that end here have a denominator of 100 Numbers that end here have a denominator of 1,000 Decimals as Fractions Whole numbers are found to the left of the decimal point. The parts of a whole are found to the right of the decimal point.

  4. Decimals as Fractions 3.25 3 wholes and 25/100 3 1/4 Simplified!

  5. Decimals as Fractions 26.82 26 wholes and 82/100 26 41/50 Simplified!

  6. Decimals as Fractions 125.54 125 wholes and 54/100 125 27/40 Simplified!

  7. Fractions as Decimals To write fractions as decimals, try to scale your fractions so the denominator is 10, 100, 1,000 or 10,000!

  8. Fractions as Decimals Scaled up to 10!

  9. Fractions as Decimals Scaled down to 4 and then up to 100! You can simplify before you multiply!

  10. Fractions as Decimals Remember, you can always divide to convert a fraction to a decimal!

  11. Fractions as Percents If you can scale up to a denominator of 100, your numerator is a percent! Per ---- cent Means “Out of ---- 100”

  12. Fractions as Percents Put dimes in the numerator and total coins in the denominator 6 20 Multiply the numerator and the denominator by 5 30 or 30% 100

  13. Fractions as Percents Sometimes fractions can not be scaled to have a denominator of 100. What should you do?

  14. Fractions as Percents Then, simply multiply the decimal answer by 100! 0.375 = 37.5%

  15. Percents as Decimals Hint 2: The percent sign looks like a 100. You must remove the association with 100 through division! Hint 1: The percent sign looks like a division sign, so you must divide.

  16. Decimals as Percents Hint: Since percent means “out of 100” and you do not see the percent sign, you must multiply by 100 to add the percent sign!

  17. Comparing and Ordering Numbers So, you need common denominators to add, subtract or compare and order fractions!

  18. Comparing and Ordering Numbers When you compare or order numbers: Convertall numbers to the sameform. • Make sure you pay attention to the order requested: • Least to Greatest • Greatest to Least Use whole numbers beforethe parts of the whole as you place them in order!

  19. Mixed Problem Solving The subtotal is $45.11 A

  20. Mixed Problem Solving I

  21. Mixed Problem Solving 1.25

  22. Mixed Problem Solving B

  23. Mixed Problem Solving H

  24. Mixed Problem Solving B

  25. Mixed Problem Solving F

  26. Mixed Problem Solving 15%

  27. Mixed Problem Solving C

  28. Mixed Problem Solving H

  29. Mixed Problem Solving B

  30. Mixed Problem Solving 1/25

  31. Mixed Problem Solving I

  32. Numbers and Operations Supporting Idea Keep Practicing!

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