Multiplying Whole Numbers and Decimals

1 / 37

Multiplying Whole Numbers and Decimals - PowerPoint PPT Presentation

Multiplying Whole Numbers and Decimals. Lesson 2-2. Things you need to know…. Do not line up the decimal points! Pretend all decimals are whole numbers until the very end Only look at the decimals when trying to figure out where to put the decimal point in your answer. or. Strategy #1.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

PowerPoint Slideshow about 'Multiplying Whole Numbers and Decimals' - vida

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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

Multiplying Whole Numbers and Decimals

Lesson 2-2

Things you need to know…
• Do not line up the decimal points!
• Pretend all decimals are whole numbers until the very end
• Only look at the decimals when trying to figure out where to put the decimal point in your answer

or

Strategy #1

405 • 59 = x

405

x 59

405

x 9

405

x 50

+

3

6

4

4

5

2

0

2

2

5

0

(5 x 4) = 20

Since there are no other numbers to multiply, write down the 20.

(5 x 0) + 2 = 2

Write down the 2.

Zero is a place holder. Put a zero in your answer to hold its place.

(9 x 0) + 4 = 4

Write down the 4.

5 x 9 = 45

Put the 5 in the answer and carry the 4 (it’s really 40) to the next place value (tens)

5 x 5 = 25

Put the 5 in the answer and carry the 2 (it’s really 20) to the next place value (tens)

(9 x 4) = 36

Since there are no other numbers to multiply, write down the 36.

or

Strategy #1

405 • 59 = x

405

x 59

405

x 9

405

x 50

+

3

6

4

4

5

2

0

2

2

5

0

23,895

Strategy #2The Lattice

405

x 59

There are 3 digits in this number

There are 2 digits in this number

We will start by making a

3 x 2 window…

Strategy #2The Lattice

3 digits

405

x 59

2 digits

Strategy #2The Lattice

x

4

0

5

405

x 59

5

9

Put diagonal lines in each of the windows.

Strategy #2The Lattice

x

4

0

5

405

x 59

2

5

0

9

4 x 5 = 20

Multiply one number from the top with one from the side. Put your answer in the box where they meet.

Strategy #2The Lattice

x

4

0

5

0

405

x 59

2

5

0

0

9

5 x 0 = 0

Strategy #2The Lattice

x

4

0

5

0

405

x 59

2

2

5

0

0

5

9

5 x 5 = 25

Strategy #2The Lattice

x

4

0

5

0

405

x 59

2

2

5

0

0

5

3

9

6

4 x 9 = 36

Strategy #2The Lattice

x

4

0

5

0

405

x 59

2

2

5

0

0

5

3

0

9

6

0

0 x 9 = 0

Strategy #2The Lattice

x

4

0

5

0

405

x 59

2

2

5

0

0

5

3

0

4

9

6

0

5

5 x 9 = 45

Strategy #2The Lattice

x

4

0

5

0

405

x 59

2

2

5

0

0

5

3

0

4

9

6

0

5

Now we will add numbers diagonally from right to left…

Strategy #2The Lattice

x

4

0

5

0

405

x 59

2

2

5

0

0

5

3

0

4

9

6

0

5

2

2

3

3

8

8

9

9

5

5

What if I have a decimal point in my problem?
• Multiply your numbers using one of the steps just shown.
• When done, count all the numbers after a decimal point in your problem.
• Make sure your answer has exactly that number of digits in the decimal spaces.
If my problem has decimals…

405

x 59

4.05

x 5.9

4.05

x 5.9

.405

x .059

.405

x .059

23,895

23.895

.023895

I had to add a zero because there are six total decimals spots in my problem, but I only had 5 digits in my answer. Notice that the zero came between the decimal point and my old answer.

Let’s try one more…

Strategy #2The Lattice

395

x 84

There are 3 digits in this number

There are 2 digits in this number

We will start by making a

3 x 2 window…

Strategy #2The Lattice

3 digits

395

x 84

2 digits

Strategy #2The Lattice

x

3

9

5

395

x 84

8

4

Put diagonal lines in each of the windows.

Strategy #2The Lattice

x

3

9

5

395

x 84

2

8

4

4

8 x 3 = 24

Multiply one number from the top with one from the side. Put your answer in the box where they meet.

Strategy #2The Lattice

x

3

9

5

7

395

x 84

2

8

2

4

4

8 x 9 = 72

Strategy #2The Lattice

x

3

9

5

7

395

x 84

2

4

8

2

4

0

4

8 x 5 = 40

Strategy #2The Lattice

x

3

9

5

7

395

x 84

2

4

8

2

4

0

1

4

2

4 x 3 = 12

Strategy #2The Lattice

x

3

9

5

7

395

x 84

2

4

8

2

4

0

1

3

4

2

6

4 x 9 = 36

Strategy #2The Lattice

x

3

9

5

7

395

x 84

2

4

8

2

4

0

1

3

2

4

2

6

0

4 x 5 = 20

Strategy #2The Lattice

x

3

9

5

7

395

x 84

2

4

8

2

4

0

1

3

2

4

2

6

0

Now we will add numbers diagonally from right to left…

Strategy #2The Lattice

x

3

9

5

7

395

x 84

2

4

8

2

4

0

1

3

2

4

2

6

0

3

3

1

3

3

1

1

1

8

8

0

0

What if I have a decimal point in my problem?
• Multiply your numbers using one of the steps just shown.
• When done, count all the numbers after a decimal point in your problem.
• Make sure your answer has exactly that number of digits in the decimal spaces.
If my problem has decimals…

39.5

x 8.4

39.5

x 8.4

.395

x .084

.395

x .084

395

x 84

.033180

331.80

33180

I had to add a zero because there are six total decimals spots in my problem, but I only had 5 digits in my answer. Notice that the zero came between the decimal point and my old answer.

Let’s Practice…

7

8

6

6

7

5

9

3

2

4

4

5

6

8

8

6

4

2

2

1

3

1

4

8

78.6 x 983

1

2

There is one digit after a decimal point.

1

1

7

7

2

6

3

8

77263.8

772638

3

9

2

0

0

0

0

0

0

0

0

0

0

0

0

0

0

2

7

1

8

4

2

6

.392 x .008

1

There are 6 digits after a decimal point.

0

0

3

1

3

6

.003136

003136

9358 x .3

2807.4