1 / 34

Notes

Notes. Chapter 5. 8 th Grade Pre-Algebra McDowell. LCM. LCM 9/25. Least common multiple. The smallest number that is a multiple of both numbers. Steps To Find LCM. 1. Make a multiplication table for each number. 2. Compare the multiplication tables.

tirza
Download Presentation

Notes

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Notes Chapter 5 8th Grade Pre-Algebra McDowell

  2. LCM LCM 9/25 Least common multiple The smallest number that is a multiple of both numbers

  3. Steps To Find LCM • 1. Make a multiplication table for each number • 2. Compare the multiplication tables • 3. Pick the smallest number that both (all) tables have

  4. Example Find the LCM of 8 and 3 1. Make a mult table 2. Compare 3. Find the smallest match • The LCM of 8 and 3 is 24

  5. You Try Find the LCM between 10 and 45 12 and 7

  6. Comparing And Ordering fractions Manipulate the fractions so each has the same denominator • Compare/order the fractions using the numerators (the denominators are the same)

  7. You try Workbook p 76 # all

  8. Fractions and Decimals 9/28 Terminating Decimal a decimal that ends 1¼ or 1.25 Repeating Decimal When the same group of numbers continues to repeat forever 4 or 4.33333333333 4.3

  9. 1. Keep the whole number a whole number Converting Fractions To decimals • 2. Divide the numerator by the denominator Example

  10. Converting Terminal decimals to fractions 1. Find the place value of the terminating decimal • 2. Place the numbers after the decimal over the place value • Keep whole numbers as whole numbers • 3. Simplify the fraction to lowest terms

  11. Example 6.925 • The 5 is in the thousandths place so 1000 is the denominator 6 • 925 • 1000 • Simplify 6 • 925  25 • 1000  25 6 • 37 • 40

  12. Converting Repeating decimals to fractions Let the decimal = n 0.6 = n • 2. Multiply both sides by 100 0.6 x 100 = n x 100 66.6 = 100n • 3. Subtract n from both sides • Remember n = 0.6 66.6 = 100n -0.6 - n 66 = 99n • 4. Divide both side by 99 to solve for n

  13. 4. Divide both side by 99 to solve for n 66 = 99n 99 99 66 = n 99 • 5. Reduce the fraction 66  11= n 99  11 2 = n 3

  14. You try Workbook p 78 # 3-21 every 3rd

  15. Adding and Subtracting Fractions 9/29 Steps 1. Convert all mixed numbers into improper fractions 2. Find a common denominator 3. Add or subtract the numerators 4. Keep the common denominator 5. Write in simplest form (change all improper fractions back into mixed numbers)

  16. Example Common denominator so add or subtract the numerator Already in simplest form

  17. Example Common denominator so add or subtract the numerator Already in simplest form because we do not know what x is

  18. Example Find a common denominator 24 x 4 x 4 Add or Subtract numerators Already in simplest form

  19. Converting A Mixed Number To an Improper MAD face • Multiply, Add, keep the Denominator • 1. Multiply the denominator by the whole number then add the product to the numerator • 2. That is the new numerator—keep the old denominator

  20. 6 x 5 + 3 6 30 + 3 6 33 6

  21. 1. Divide the numerator by the dominator Converting An Improper To a Mixed # • 2. The quotient is the whole number • 3. The remainder is the new numerator • 4. Keep the same denominator

  22. Example Convert 26 to a mixed number 3 • 8 • R 2 • 3 26 • -24 • 2

  23. Example 1. Convert all mixed numbers into improper fractions 2. Find a common denominator 3. Add or subtract the numerators 4. Keep the common denominator 5. Write in simplest form

  24. Additional Examples . .

  25. You try Workbook  p 80 # all

  26. Multiplying and Dividing Fractions 9/30 Steps to multiply fractions 1. Convert all mixed numbers into improper fractions 2. Simplify by taking common factors out of the numerators and denominators 3. Multiply numerators together 4. Multiply denominators together 5. Write in simplest form (change all improper fractions back into mixed numbers)

  27. Example 2. Simplify by taking common factors out of the numerators and denominators  5  5 3. Multiply numerators together 4. Multiply denominators together 5. In simplest form

  28. Example 2. Simplify by taking common factors out of the numerators and denominators  x  2  2  x 3. Multiply numerators together 4. Multiply denominators together 5. In simplest form

  29. Additional Examples . .

  30. Steps to divide fractions 1. Convert all mixed numbers into improper fractions 2. Keep 1st fraction 3. Change Multiplication to division 4. Flip Write the reciprocal of the 2nd fraction 5. Follow steps to multiply fractions

  31. Example Keep Change Flip X  4 Multiply  4

  32. You try Workbook  p 82 # all

  33. Chapter 5 Review 10/1

  34. Chapter 5 Quiz 10/2

More Related