# Using Base 10 Blocks to Model Decimal Concepts

```Using Base 10 Blocks to Model Decimal
Concepts & Operations
Joyce Bishop
ROE 10
mathgarden.weebly,com
Using Familiar Base 10 Blocks to Model Decimal
Numbers
• flat = 1
• Long = 0.1
• small cube = 0.01
• small flat (chip) = 0.001
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Representing Decimal Numbers
Base 10 blocks
Decimal
Fraction
3
1000
0.407
Representing Decimal Numbers
Base 10 blocks
Decimal
1.17
Fraction
1 17
100
Representing Decimal Numbers
Base 10 blocks
Decimal
1.17
0.003
Fraction
1 17
100
3
1000
Representing Decimal Numbers
Base 10 blocks
Decimal
Fraction
1.17
1 17
100
0.003
3
1000
0.407
407
1000
Comparing Decimals
Represent the following with base 10 blocks and put
them in order from smallest to largest:
0.2
0.197
0.21
Representing Decimal Numbers
0.2
0.197
0.21
Smallest to Largest
0.197
0.2
0.21
Show the following with base 10 blocks.
0.21 + 1.483
0.36 + 0.47
0.21
0.21 + 1.483= 1.693
1.483
0.36
0.36 + 0.47
0.47
0.36
0.36 + 0.47
0.47
0.36 + 0.47 = 0.83
Subtracting Decimals
Subtract the following:
0.87 – 0.26
0.48 – 0.222
Subtracting Decimals (1)
0.87
Subtracting Decimals
0.87 – 0.26 = 0.61
Subtracting Decimals (2)
Subtract the following:
0.48 – 0.222
Subtracting Decimals (2)
0.48 – 0.222
Subtracting Decimals (2)
0.48 – 0.222
0.48 – 0.222 = 0.258
Multiplying Decimals
1.6
x 2
2 groups of 1.6
Multiplying Decimals
1.6
x 2
1.6 x 2 = 3.2
Multiplying Decimals (2)
0.1 x 0.78
Multiplying Decimals (2)
0.1 x 0.78
? 0.1 of 0.1 ? 0.1 of 0.01
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
Dividing Decimals (1)
Ellen had 0.6 m of yarn. She wanted to divide
it into 2 equal pieces. How long should each
blocks.
0.6 ÷ 2
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?
0.6 ÷ 2
0.6 divided into 2 equal groups.
How many in each group?
0.6 ÷ 2 = 0.3
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
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 0.2
How many groups?
1 ÷ 0.2 = 5
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