Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840...
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Transcript of Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840...
![Page 1: Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840 754,400 38,060 Warm Up Problems Multiply.](https://reader035.fdocuments.us/reader035/viewer/2022081504/56649da15503460f94a8cdce/html5/thumbnails/1.jpg)
MultiplyingDecimals
Unit 3.5 Pages 126-128
![Page 2: Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840 754,400 38,060 Warm Up Problems Multiply.](https://reader035.fdocuments.us/reader035/viewer/2022081504/56649da15503460f94a8cdce/html5/thumbnails/2.jpg)
1. 87 x 320 =
2. 943 x 800 =
3. 3,806 x 10 =
27,840
754,400
38,060
Warm Up Problems Multiply
![Page 3: Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840 754,400 38,060 Warm Up Problems Multiply.](https://reader035.fdocuments.us/reader035/viewer/2022081504/56649da15503460f94a8cdce/html5/thumbnails/3.jpg)
3.5 Multiplying Decimals.
Objective: by the end of class students can multiply whole numbers and numbers with decimals.
![Page 4: Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840 754,400 38,060 Warm Up Problems Multiply.](https://reader035.fdocuments.us/reader035/viewer/2022081504/56649da15503460f94a8cdce/html5/thumbnails/4.jpg)
We follow the same rules for multiplying whole numbers, as we multiply numbers
with decimals in them.
258 x 37
2.58x 3.7
9546 9 5 46
![Page 5: Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840 754,400 38,060 Warm Up Problems Multiply.](https://reader035.fdocuments.us/reader035/viewer/2022081504/56649da15503460f94a8cdce/html5/thumbnails/5.jpg)
The total number of
decimal places in the equation
will need to equal the total
number or decimal places in the solution.
2.58x 3.7 9.546
2 places
1 place
3 places total
![Page 6: Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840 754,400 38,060 Warm Up Problems Multiply.](https://reader035.fdocuments.us/reader035/viewer/2022081504/56649da15503460f94a8cdce/html5/thumbnails/6.jpg)
Showing the same equation in fractions can help us understand how we come up with a solution.
3.7 x 2.58 37 x 25810 100
= 9546 1,000= 9.546
![Page 7: Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840 754,400 38,060 Warm Up Problems Multiply.](https://reader035.fdocuments.us/reader035/viewer/2022081504/56649da15503460f94a8cdce/html5/thumbnails/7.jpg)
First multiply the equation like you normally would.
Count the total number of decimal places in the problem.The product (or answer) needs to have the same number of decimal places too.
Find each Product 3 x .17
0.17x 30 51
![Page 8: Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840 754,400 38,060 Warm Up Problems Multiply.](https://reader035.fdocuments.us/reader035/viewer/2022081504/56649da15503460f94a8cdce/html5/thumbnails/8.jpg)
First multiply the equation like you normally would.
Count the total number of decimal places in the problem.The product (or answer) needs to have the same number of decimal places too.
Find each Product 0.2 x 0.6
0.2x 0.60 12
![Page 9: Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840 754,400 38,060 Warm Up Problems Multiply.](https://reader035.fdocuments.us/reader035/viewer/2022081504/56649da15503460f94a8cdce/html5/thumbnails/9.jpg)
First multiply the equation like you normally would.
Count the total number of decimal places in the problem.The product (or answer) needs to have the same number of decimal places too.
Find each Product 3.25 x 4.8
3.25x 4.8
15 600
![Page 10: Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840 754,400 38,060 Warm Up Problems Multiply.](https://reader035.fdocuments.us/reader035/viewer/2022081504/56649da15503460f94a8cdce/html5/thumbnails/10.jpg)
First multiply the equation like you normally would.Count the total
number of decimal places in the
problem.The product (or
answer) needs to have the same
number of decimal places too.
0.6 x 0.4
0.6x 0.4
0.24
#3 find each product
![Page 11: Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840 754,400 38,060 Warm Up Problems Multiply.](https://reader035.fdocuments.us/reader035/viewer/2022081504/56649da15503460f94a8cdce/html5/thumbnails/11.jpg)
First multiply the equation like you normally would.Count the total
number of decimal places in the
problem.The product (or
answer) needs to have the same
number of decimal places too.
0.008 x 0.5
0.008x 0.5
0.0040
#4 find each product
![Page 12: Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840 754,400 38,060 Warm Up Problems Multiply.](https://reader035.fdocuments.us/reader035/viewer/2022081504/56649da15503460f94a8cdce/html5/thumbnails/12.jpg)
First multiply the equation like you normally would.Count the total
number of decimal places in the
problem.The product (or
answer) needs to have the same
number of decimal places too.
3.0 x 0.07
3.0x 0.07
0.21
#5 find each product
![Page 13: Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840 754,400 38,060 Warm Up Problems Multiply.](https://reader035.fdocuments.us/reader035/viewer/2022081504/56649da15503460f94a8cdce/html5/thumbnails/13.jpg)
First multiply the equation like you normally would.Count the total
number of decimal places in the
problem.The product (or
answer) needs to have the same
number of decimal places too.
0.12 x 0.6
0.12x .06
0.0072
#6 find each product
![Page 14: Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840 754,400 38,060 Warm Up Problems Multiply.](https://reader035.fdocuments.us/reader035/viewer/2022081504/56649da15503460f94a8cdce/html5/thumbnails/14.jpg)
multiply the equation like you normally
would.
Count the total number of decimal places in the
problem.
The product (or answer) needs to have
the same number of decimal places too.
Evaluating decimal Expressions
x= 4.047
3 x4.047
Replace the variable with the given number.
4.047x 312 141
![Page 15: Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840 754,400 38,060 Warm Up Problems Multiply.](https://reader035.fdocuments.us/reader035/viewer/2022081504/56649da15503460f94a8cdce/html5/thumbnails/15.jpg)
multiply the equation like you normally
would.
Count the total number of decimal places in the
problem.
The product (or answer) needs to have
the same number of decimal places too.
Evaluating decimal Expressions
x= 2.95
3 x2.95
Replace the variable with the given number.
2.95x 3 8 85
![Page 16: Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840 754,400 38,060 Warm Up Problems Multiply.](https://reader035.fdocuments.us/reader035/viewer/2022081504/56649da15503460f94a8cdce/html5/thumbnails/16.jpg)
First multiply the equation like you normally would.Count the total
number of decimal places in the
problem.
The product (or answer) needs to
have the same number of decimal
places too.
x= 3.304
3.304x 5
16.52
#7 Evaluate 5x Replace the variable with the given
number.
x
![Page 17: Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840 754,400 38,060 Warm Up Problems Multiply.](https://reader035.fdocuments.us/reader035/viewer/2022081504/56649da15503460f94a8cdce/html5/thumbnails/17.jpg)
First multiply the equation like you normally would.Count the total
number of decimal places in the
problem.
The product (or answer) needs to
have the same number of decimal
places too.
x= 7.126
7.126x 5
35.63
#8 Evaluate 5x Replace the variable with the given
number.
x
![Page 18: Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840 754,400 38,060 Warm Up Problems Multiply.](https://reader035.fdocuments.us/reader035/viewer/2022081504/56649da15503460f94a8cdce/html5/thumbnails/18.jpg)
First multiply the equation like you normally would.Count the total
number of decimal places in the
problem.
The product (or answer) needs to
have the same number of decimal
places too.
x= 4.58
4.58x 5
22.90
#8 Evaluate 5x Replace the variable with the given
number.
x
![Page 19: Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840 754,400 38,060 Warm Up Problems Multiply.](https://reader035.fdocuments.us/reader035/viewer/2022081504/56649da15503460f94a8cdce/html5/thumbnails/19.jpg)
First multiply the equation like you normally would.Count the total
number of decimal places in the
problem.
The product (or answer) needs to
have the same number of decimal
places too.
x= 1.9
1.9x 5
9.5
#10 Evaluate 5x Replace the variable with the given
number.
x
![Page 20: Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840 754,400 38,060 Warm Up Problems Multiply.](https://reader035.fdocuments.us/reader035/viewer/2022081504/56649da15503460f94a8cdce/html5/thumbnails/20.jpg)
3.5 Homeworkpage 124-125
Due:
8-29Mrs. Saucedo’s Class
14-29
![Page 21: Multiplying Decimals Unit 3.5 Pages 126-128. 1. 87 x 320 = 2.943 x 800 = 3.3,806 x 10 = 27,840 754,400 38,060 Warm Up Problems Multiply.](https://reader035.fdocuments.us/reader035/viewer/2022081504/56649da15503460f94a8cdce/html5/thumbnails/21.jpg)
0.8 x 0.07 0.006 x 0.07
0.056
6.43221.64
0.00042
Find each product
8x x = 2.705
8x x = 0.804