Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10...
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Transcript of Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10...
![Page 1: Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10 mathgarden.weebly,com.](https://reader035.fdocuments.net/reader035/viewer/2022062719/56649ef15503460f94c02a18/html5/thumbnails/1.jpg)
Using Base 10 Blocks to Model Decimal Concepts & Operations
Joyce BishopROE 10
mathgarden.weebly,com
![Page 2: Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10 mathgarden.weebly,com.](https://reader035.fdocuments.net/reader035/viewer/2022062719/56649ef15503460f94c02a18/html5/thumbnails/2.jpg)
Using Familiar Base 10 Blocks to Model Decimal Numbers
• flat = 1
• Long = 0.1
• small cube = 0.01
• small flat (chip) = 0.001
Order chips from enasco.com: search for thousandth chip. $13.95/1000
![Page 3: Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10 mathgarden.weebly,com.](https://reader035.fdocuments.net/reader035/viewer/2022062719/56649ef15503460f94c02a18/html5/thumbnails/3.jpg)
Representing Decimal Numbers
Base 10 blocks Decimal Fraction
31000
0.407
![Page 4: Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10 mathgarden.weebly,com.](https://reader035.fdocuments.net/reader035/viewer/2022062719/56649ef15503460f94c02a18/html5/thumbnails/4.jpg)
Representing Decimal Numbers
Base 10 blocks Decimal Fraction
1.17 1 17 100
![Page 5: Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10 mathgarden.weebly,com.](https://reader035.fdocuments.net/reader035/viewer/2022062719/56649ef15503460f94c02a18/html5/thumbnails/5.jpg)
Representing Decimal Numbers
Base 10 blocks Decimal Fraction
1.17 1 17 100
0.0033
1000
![Page 6: Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10 mathgarden.weebly,com.](https://reader035.fdocuments.net/reader035/viewer/2022062719/56649ef15503460f94c02a18/html5/thumbnails/6.jpg)
Representing Decimal Numbers
Base 10 blocks Decimal Fraction
1.17 1 17 100
0.003 31000
0.407 4071000
![Page 7: Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10 mathgarden.weebly,com.](https://reader035.fdocuments.net/reader035/viewer/2022062719/56649ef15503460f94c02a18/html5/thumbnails/7.jpg)
Comparing Decimals
Represent the following with base 10 blocks and put them in order from smallest to largest:
0.20.1970.21
![Page 8: Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10 mathgarden.weebly,com.](https://reader035.fdocuments.net/reader035/viewer/2022062719/56649ef15503460f94c02a18/html5/thumbnails/8.jpg)
Representing Decimal Numbers
0.21
0.1970.2
![Page 9: Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10 mathgarden.weebly,com.](https://reader035.fdocuments.net/reader035/viewer/2022062719/56649ef15503460f94c02a18/html5/thumbnails/9.jpg)
Smallest to Largest
0.21
0.197 0.2
![Page 10: Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10 mathgarden.weebly,com.](https://reader035.fdocuments.net/reader035/viewer/2022062719/56649ef15503460f94c02a18/html5/thumbnails/10.jpg)
Adding Decimals
Show the following with base 10 blocks.0.21 + 1.4830.36 + 0.47
![Page 11: Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10 mathgarden.weebly,com.](https://reader035.fdocuments.net/reader035/viewer/2022062719/56649ef15503460f94c02a18/html5/thumbnails/11.jpg)
Adding Decimals (1)0.21 1.483
0.21 + 1.483
0.21 + 1.483= 1.693
![Page 12: Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10 mathgarden.weebly,com.](https://reader035.fdocuments.net/reader035/viewer/2022062719/56649ef15503460f94c02a18/html5/thumbnails/12.jpg)
Adding Decimals (2)0.470.36
0.36 + 0.47
![Page 13: Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10 mathgarden.weebly,com.](https://reader035.fdocuments.net/reader035/viewer/2022062719/56649ef15503460f94c02a18/html5/thumbnails/13.jpg)
Adding Decimals (2)0.470.36
0.36 + 0.47 0.36 + 0.47 = 0.83
![Page 14: Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10 mathgarden.weebly,com.](https://reader035.fdocuments.net/reader035/viewer/2022062719/56649ef15503460f94c02a18/html5/thumbnails/14.jpg)
Subtracting Decimals
Subtract the following:0.87 – 0.260.48 – 0.222
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Subtracting Decimals (1)
0.87
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Subtracting Decimals
0.87 – 0.26 = 0.61
![Page 17: Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10 mathgarden.weebly,com.](https://reader035.fdocuments.net/reader035/viewer/2022062719/56649ef15503460f94c02a18/html5/thumbnails/17.jpg)
Subtracting Decimals (2)
Subtract the following:0.48 – 0.222
![Page 18: Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10 mathgarden.weebly,com.](https://reader035.fdocuments.net/reader035/viewer/2022062719/56649ef15503460f94c02a18/html5/thumbnails/18.jpg)
Subtracting Decimals (2)
0.48 – 0.222
![Page 19: Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10 mathgarden.weebly,com.](https://reader035.fdocuments.net/reader035/viewer/2022062719/56649ef15503460f94c02a18/html5/thumbnails/19.jpg)
Subtracting Decimals (2)
0.48 – 0.2220.48 – 0.222 0.48 – 0.222 = 0.258
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Multiplying Decimals
1.6x 2
2 groups of 1.6
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Multiplying Decimals
1.6x 2
Trade to make another unit.1.6 x 2 = 3.2
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Multiplying Decimals (2)
0.1 x 0.78
![Page 23: Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10 mathgarden.weebly,com.](https://reader035.fdocuments.net/reader035/viewer/2022062719/56649ef15503460f94c02a18/html5/thumbnails/23.jpg)
Multiplying Decimals (2)
0.1 x 0.78
? 0.1 of 0.1 ? 0.1 of 0.01
![Page 24: Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10 mathgarden.weebly,com.](https://reader035.fdocuments.net/reader035/viewer/2022062719/56649ef15503460f94c02a18/html5/thumbnails/24.jpg)
Multiplying Decimals (2)
0.1 x 0.78
? 0.1 of 0.1 0.1 of 0.01(7 x 0.1 x 0.1) + (8 x 0.1 x 0.01) = 0.07 + 0.008 = 0.078
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Dividing Decimals (1)
Ellen had 0.6 m of yarn. She wanted to divide it into 2 equal pieces. How long should each piece be? Show your answer with base 10 blocks.0.6 ÷ 2
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Dividing Decimals (1)
Ellen had 0.6 m of yarn. She wanted to divide it into 2 equal pieces. How long should each piece be? Show your answer with base 10 blocks.
0.6 ÷ 2 0.6
divided into 2 equal groups. How
many in each group? 0.6 ÷ 2
= 0.3
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Dividing Decimals (2)
Ryan has 1 kg of fudge. He plans to wrap it in packages with 0.2 kg in each package. How many packages will he have?
1 kg = 10 x 0.1 kg
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Dividing Decimals (2)
Ryan has 1 kg of fudge. He plans to wrap it in packages with 0.2 kg in each package. How many packages will he have?
1 kg = 10 x 0.1 kg 10 (0.1) divided into groups of 0.2How many groups?1 ÷ 0.2 = 5