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**Transparency 1**Click the mouse button or press the Space Bar to display the answers.**Example 1-5c**Objective Find the product of decimals and whole numbers**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**Lesson 1 Contents**Example 1Multiply Decimals Example 2Multiply Decimals Example 3Annex Zeros in the Product Example 4Annex Zeros in the Product Example 5Scientific Notation**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**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**Example 1-1c**Find 12.6 8 Answer: 100.8 1/5**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**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**Example 1-2c**Find 0.83 4 Answer: 3.32 2/5**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**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**Example 1-3b**Find 4 0.023 Answer: 0.092 3/5**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**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**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**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**ALGEBRA Evaluate**Example 1-4b Answer: 0.0186 4/5**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**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**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**End of Lesson 1**Assignment