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  1. Transparency 1 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 1-5c Objective Find the product of decimals and whole numbers

  4. Example 1-5c Vocabulary Scientific notation A way of expressing a number as the product of a number that is at least 1 but less than 10 and the power of 10

  5. Lesson 1 Contents Example 1Multiply Decimals Example 2Multiply Decimals Example 3Annex Zeros in the Product Example 4Annex Zeros in the Product Example 5Scientific Notation

  6. Example 1-1a Write the problem vertically line up digits, not place value Find 18.9  4 3 3 Multiply 4  9 = 36 Put the one’s place value of 6 under the 4 Carry the ten’s place value of 3 Multiply 4  8 = 32 35 Add the carry of 3 to 32 = Put the one’s place value of 5 under the 8 Carry the ten’s place value of 3 1/5

  7. Example 1-1a 4 Multiply 4  1 = Find 18.9  4 Add the carry of 3 to 4 = 7 3 3 1 Put the one’s place value of 7 under the 1 0 1 Count the decimal places in 18.9 Count the decimal places in 4 Add the place values 1 + 0 Beginning on the right of the 6, place a decimal 1 place to the left Answer: 75.6 1/5

  8. Example 1-1c Find 12.6  8 Answer: 100.8 1/5

  9. Example 1-2a Write the problem vertically line up digits, not place value Find 0.56  7 Multiply 7  6 = 3 42 4 Put the one’s place value of 2 under the 7 Carry the ten’s place value of 4 Multiply 7  5 = 35 39 Add the carry of 4 to 35 = Put the one’s place value of 9 under the 5 Carry the ten’s place value of 3 2/5

  10. Example 1-2a Find 0.56  7 Multiply 7  0 = 3 0 4 2 3 Add the carry of 3 to 0 = 0 Put the one’s place value of 3 under the 0 2 Count the decimal places in 0.56 Count the decimal places in 7 Add the place values 2 + 0 Beginning on the right of the 2, place a decimal 2 places to the left Answer: 3.92 2/5

  11. Example 1-2c Find 0.83  4 Answer: 3.32 2/5

  12. Example 1-3a Write the problem vertically line up digits, not place value Since 0.016 has more digits than 3, put it on top Find 3  0.016 1 Multiply 3  6 = 18 Put the one’s place value of 8 under the 3 Carry the ten’s place value of 1 Multiply 3  1 = 3 Add the carry of 1 to 3 = 4 Put the one’s place value of 4 under the 1 3/5

  13. Example 1-3a Multiply 3  0 = 0 Put the one’s place value of 0 under the 0 next to the 1 Find 3  0.016 1 3 Multiply 3  0 = 0 0 Put the one’s place value of 0 under the 0 3 Count the decimal places in 0.016 Count the decimal places in 3 Add the place values 3 + 0 Beginning on the right of the 8, place a decimal 3 places to the left Answer: 0.048 3/5

  14. Example 1-3b Find 4  0.023 Answer: 0.092 3/5

  15. ALGEBRA Evaluate Example 1-4a 5g Write the algebraic expression 5 (0.0091) Remember: 5g means 5  g Bring down the 5 0.0091 Replace g with 0.0091 x 5 Write the problem vertically line up digits, not place value Since 0.091 has more digits than 5, put it on top 4/5

  16. ALGEBRA Evaluate Example 1-4a Multiply 5  1 = 5 4 0.0091 Put the one’s place value of 5 under the 5 x 5 5 5 Multiply 5  9 = 45 Put the one’s place value of 5 under the 9 Carry the ten’s place value of 4 4/5

  17. ALGEBRA Evaluate Example 1-4a 0 Multiply 5  0 = 4 Add the carry of 4 to 0 = 4 0.0091 x 5 Put the one’s place value of 4 under the 0 next to the 9 4 0 0 5 5 Multiply 5  0 = 0 Put the one’s place value of 0 under the 0 Multiply 5  0 = 0 Put the one’s place value of 0 under the 0 4/5

  18. ALGEBRA Evaluate Example 1-4a Count the decimal places in 0.091 4 0.0091 4 Count the decimal places in 5 0 x 5 Add the place values 4 + 0 4 . 0 0455 Beginning on the right of the 5, place a decimal 4 places to the left Answer: 0.0455 4/5

  19. ALGEBRA Evaluate Example 1-4b Answer: 0.0186 4/5

  20. Example 1-5a ASTRONOMYThe average distance from Earth to the Sun is 1.5  108 kilometers. Write this distance in standard form. Write the problem 1.5  108 Use the calculator  yx 10 1.5 Put 1.5 in calculator Push the  sign Put 10 in calculator Push the exponent key [yx] 5/5

  21. Example 1-5a ASTRONOMYThe average distance from Earth to the Sun is 1.5  108 kilometers. Write this distance in standard form. Put the exponent 8 in calculator 1.5  108  yx 10 8 = 1.5 Push the = sign 150,000,000 Make sure to add the commas in the appropriate places Answer: The average distance is 150,000,000 kilometers 5/5

  22. Example 1-5c * ARCHAEOLOGYAn archaeologist claims that a particular artifact is 2.4  105 years old. Write this age in standard form. Answer: 240,000 years 5/5

  23. End of Lesson 1 Assignment