Using Base 10 Blocks to Model Decimal Concepts & Operations

Joyce BishopROE 10

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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

31000

0.407

Representing Decimal Numbers

Base 10 blocks Decimal Fraction

1.17 1 17 100

Representing Decimal Numbers

Base 10 blocks Decimal Fraction

1.17 1 17 100

0.0033

1000

Representing Decimal Numbers

Base 10 blocks Decimal Fraction

1.17 1 17 100

0.003 31000

0.407 4071000

Comparing Decimals

Represent the following with base 10 blocks and put them in order from smallest to largest:

0.20.1970.21

Representing Decimal Numbers

0.21

0.1970.2

Smallest to Largest

0.21

0.197 0.2

Adding Decimals

Show the following with base 10 blocks.0.21 + 1.4830.36 + 0.47

Adding Decimals (1)0.21 1.483

0.21 + 1.483

0.21 + 1.483= 1.693

Adding Decimals (2)0.470.36

0.36 + 0.47

Adding Decimals (2)0.470.36

0.36 + 0.47 0.36 + 0.47 = 0.83

Subtracting Decimals

Subtract the following:0.87 – 0.260.48 – 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 – 0.2220.48 – 0.222 0.48 – 0.222 = 0.258

Multiplying Decimals

1.6x 2

2 groups of 1.6

Multiplying Decimals

1.6x 2

Trade to make another unit.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 piece be? Show your answer with base 10 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? 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

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 0.2How many groups?1 ÷ 0.2 = 5