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Decimals

Decimals. Chapter 4/5 Notes. Numbers. The distance from the sun to Pluto is 3,600,000 miles. A house dust mite can be as small as 0.0001 meter. In Ch. 4, we will learn about the place value and scientific notation, which help us make sense out of numbers. Place Value. Lesson 1.

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Decimals

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  1. Decimals Chapter 4/5 Notes

  2. Numbers • The distance from the sun to Pluto is 3,600,000 miles. • A house dust mite can be as small as 0.0001 meter. • In Ch. 4, we will learn about the place value and scientific notation, which help us make sense out of numbers.

  3. Place Value Lesson 1

  4. The planet Jupiter makes one trip around the sun every 11.8613 years. • We read this numeral as “eleven and eight thousand six hundred thirteen ten-thousandths.”

  5. Copy:

  6. Reading and Writing Decimals Lesson 2

  7. 4 Steps: • Read the digits to the left of the decimal point as a whole number. • Say “and” for the for the decimal point • Read the digits to the right of the decimal point as a whole number. • Say the place name of the last digit.

  8. For Example: • 23.415 • Twenty-three and four hundred fifteen thousandths

  9. Your turn! • 0.62

  10. Comparing and Rounding Decimals Lesson 3

  11. Which is bigger? • You can tell which of two decimals is greater if you add zeros to the right of one of the decimal points. • 24.428 and 24.43 • 24.428 and 24.430 • 24.428 < 24.430

  12. Your turn! • 16.837 ___ 16.9 • 3.6 ___ 3.486 • 15.487 ___ 15.7

  13. Scientific Notation Lesson 7

  14. A number between 1 and 10 multiplied by a power of 10, written as an exponent. • 3,460,000. = 3.46 x 106

  15. 26,000 = 2.6 x 104 • 425,000 = • 630,000 = • 2,000,000 = • 21,000 =

  16. Renaming Decimals as Fractions Lesson 9

  17. A decimal maybe renamed as a common fraction by using the digits in the numeral for the numerator. • The denominator is the value of the last place name at the right of the numeral.

  18. For Example: • 0.08 = 8 = 2 100 25 • 0.012 = 12 = 3 1,000 250

  19. Your Turn! • 0.82 = • 0.5 = • 0.208 =

  20. Renaming Decimals as Fractions Lesson 10

  21. Some fractions can be renamed as decimals by changing the denominator to a power of 10. • Like 10, 100, 1000

  22. For Example: • 9 = 9 x 4 = 36 = 0.3625 25 x 4 100

  23. Your Turn! • 310 • 17100 • 1625

  24. Decimals That Repeat Lesson 11

  25. Some fractions can’t be changed to a decimal by raising the fraction to higher terms. • You have to divide.

  26. Place zeros in the dividend until the digits in the quotient begin repeating. • Draw a bar over the digits to show which digits repeat.

  27. For Example: • __5/11 = 0.45 • (Divide 5 by 11)

  28. Ratio and Proportion Chapter 5 Notes

  29. Writing Ratios Lesson 1

  30. Identifying Proportions Lesson 2

  31. Solving Proportions Lesson 3

  32. Using Proportions Lesson 4

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