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Mastering Decimals and Fractions: Operations and Practice

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Dive into the world of decimals and fractions with this comprehensive guide that focuses on the order of operations for addition, subtraction, multiplication, and division. From lining up decimal points to finding common denominators, you’ll learn essential methods for simplifying and solving problems. Detailed step-by-step practices are included, along with answer keys for self-assessment. Engage with a partner to compare your solutions and deepen your understanding. Perfect for students aiming to strengthen their math skills!

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Mastering Decimals and Fractions: Operations and Practice

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Presentation Transcript

  1. Geometry Fun at every vertex

  2. Order of operations

  3. Decimals! Addition and Subtraction 33.7-2.5=? • Line up the decimal points • Perform the operation like normal • 33.7 • 2.5 • 31.2

  4. Decimals! Multiplication 33.7 x 2.5 1685 + 6740 84.25 33.7x2.5=? • Line up the decimal points • Perform the operation like normal • Count total number of decimal places (2) • Put decimal that many spaces from the right

  5. Decimals! Multiplication 10.5x3.1=? • Line up the decimal points • Perform the operation like normal • Count total number of decimal places • Put decimal that many spaces from the right

  6. Decimals! Multiplication • SHORTCUT!!! • Plug it into your calculator

  7. Decimals! division 10÷2.5=? • Set up the operation like normal • Move decimal so that it is at the end of the number. • Move the decimal for the other number the same • Divide normally

  8. Decimals! division • SHORTCUT!!! • Plug it into your calculator

  9. Practice • Practice by completing the following problems… • Only do 1-10!!!!!

  10. Stop!!!! • Check your answers • write down the number of correct answers at the top of your paper • Get with a partner (next to you) and compare your work • Correct your incorrect answers • Write down what mistake you made • If you got them all correct, explain it to your neighbor

  11. Practice Answers • 3.646 • 50.42 • 2.280 • 2.337 • 9.81 • 60.96 • 61.82 • 44.8 • 18.08 • 419.802

  12. Fractions! Addition and Subtraction • Find a common denominator • Perform the operation to the NUMERATORS only

  13. Fractions! multiplication • Multiply the NUMERATORS together • Multiply the DENOMENATORS together • Simplify (if possible)

  14. Fractions! division • Find the reciprocal of the second term • Multiply the first term by the reciprocal of the second term • Simplify (if possible)

  15. Practice • Practice by completing the following problems…

  16. Practice Answers • 44 1/3 • 16 75/88 • 1 268/285 • 2 31/70 • 26 17/70 • 1 11/117 • 54 2/13 • 6 29/30 • 1 29/363 • 1 97/128

  17. Solve some equations!

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