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Transparency 1

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Transparency 1. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 1-5c. Objective. Find the product of decimals and whole numbers. Example 1-5c. Vocabulary. Scientific notation. - PowerPoint PPT Presentation
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Page 1: Transparency 1

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

Page 2: Transparency 1
Page 3: Transparency 1

Objective

Find the product of decimals and whole numbers

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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

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Example 1 Multiply Decimals

Example 2 Multiply Decimals

Example 3 Annex Zeros in the Product

Example 4 Annex Zeros in the Product

Example 5 Scientific Notation

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1/5

Find 18.9 4

Write the problem vertically line up digits, not place value

Multiply 4 9 = 36

Put the one’s place value of 6 under the 4

Carry the ten’s place value of 3

3

Multiply 4 8 = 32

Add the carry of 3 to 32 = 35

Put the one’s place value of 5 under the 8

Carry the ten’s place value of 3

3

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1/5

Find 18.9 4Multiply 4 1 = 4

3 Add the carry of 3 to 4 = 7

Put the one’s place value of 7 under the 1

Count the decimal places in 18.9

31

Count the decimal places in 4

0

Add the place values 1 + 0

1

Beginning on the right of the 6, place a decimal 1 place to the leftAnswer: 75.6

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Answer: 100.8

1/5

Find 12.6 8

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4

2/5

Find 0.56 7

Write the problem vertically line up digits, not place value

Multiply 7 6 = 42

Put the one’s place value of 2 under the 7

Carry the ten’s place value of 4

Multiply 7 5 = 35

Add the carry of 4 to 35 = 39

Put the one’s place value of 9 under the 5

Carry the ten’s place value of 3

3

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4

2/5

Find 0.56 7Multiply 7 0 = 0

Add the carry of 3 to 0 = 3

Put the one’s place value of 3 under the 0

3

Count the decimal places in 0.56

2

Count the decimal places in 7

0

Add the place values 2 + 0Beginning on the right of the 2, place a decimal 2 places to the leftAnswer: 3.92

2

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Answer: 3.32

2/5

Find 0.83 4

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3/5

1Find 3 0.016

Write the problem vertically line up digits, not place value

Since 0.016 has more digits than 3, put it on top

Multiply 3 6 = 18Put the one’s place value of 8 under the 3Carry the ten’s place value of 1Multiply 3 1 = 3Add the carry of 1 to 3 = 4Put the one’s place value of 4 under the 1

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3/5

1

Find 3 0.016

Multiply 3 0 = 0

Put the one’s place value of 0 under the 0 next to the 1

Multiply 3 0 = 0

Put the one’s place value of 0 under the 0

Count the decimal places in 0.016

3

Count the decimal places in 3

0

Add the place values 3 + 0

3

Beginning on the right of the 8, place a decimal 3 places to the left

Answer: 0.048

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Answer: 0.092

3/5

Find 4 0.023

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ALGEBRA Evaluate

4/5

Write the algebraic expression5g

Remember: 5g means 5 g

Replace g with 0.0091

Bring down the 5

5 (0.0091)

Write the problem vertically line up digits, not place value

Since 0.091 has more digits than 5, put it on top

0.0091x 5

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ALGEBRA Evaluate

4/5

0.0091x 5

Multiply 5 1 = 5

Put the one’s place value of 5 under the 5

5Multiply 5 9 = 45Put the one’s place value of 5 under the 9Carry the ten’s place value of 4

4

5

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ALGEBRA Evaluate

4/5

0.0091x 5

Multiply 5 0 = 0

5Multiply 5 0 = 0

Put the one’s place value of 4 under the 0 next to the 9

4

5

Add the carry of 4 to 0 = 4

Put the one’s place value of 0 under the 0

40

Multiply 5 0 = 0Put the one’s place value of 0 under the 0

0

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ALGEBRA Evaluate

4/5

0.0091x 5

0 0455

4 Count the decimal places in 0.0914 Count the decimal places in 50

Add the place values 4 + 0

Beginning on the right of the 5, place a decimal 4 places to the left

.

Answer: 0.0455

4

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ALGEBRA Evaluate

Answer: 0.0186

4/5

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ASTRONOMY The average distance from Earth to the Sun is 1.5 108 kilometers. Write this distance in standard form.

5/5

Write the problem1.5 108 Use the calculatorPut 1.5 in calculator

1.5

Push the sign

Put 10 in calculator

10

Push the exponent key [yx]

yx

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ASTRONOMY The average distance from Earth to the Sun is 1.5 108 kilometers. Write this distance in standard form.

5/5

1.5 108

1.5 10 yx

Put the exponent 8 in calculator

8 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

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Answer: 240,000 years

ARCHAEOLOGY An archaeologist claims that a particular artifact is 2.4 105 years old. Write this age in standard form.

*

5/5

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Assignment Lesson 4:1 Multiplying Decimals 15 - 38 All

  by Whole Numbers  


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