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Modeling Decimals with Base 10 Blocks

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Modeling Decimals with Base 10 Blocks

Joyce Bishop

- flat = 1
- long = 0.1
- small cube = 0.01
- small flat = 0.001

Base 10 blocks Decimal Fraction

Representation Representation

2.6

Base 10 blocks Decimal Fraction

Representation Representation

3.217

Represent each of the following numbers with base 10 blocks and put them in order from smallest to greatest:

2.1

1.96

2

1.96

2

2.1

Ethan is constructing a model of a space ship. The first stage is 2.34 meter tall. The second stage is 1.031 meters tall. What is the total height?

Model the solution with base 10 blocks.

Add 2.34 + 1.031:

2.34

1.031

= (3 x 1) + (3 x 0.1) + (7 x 0.01) + (1 x 0.001)= 3.371

Use your understanding of place value to show two ways to represent 0.18 with base 10 blocks.

Use your understanding of place value to show two ways to represent 0.18.

or

√

Ethan has another model space ship that is 1.62 meters tall. If he stores it in a cabinet that is 2.18 meters tall, how much taller is the cabinet than the model space ship?

Model your solution with base 10 blocks.

Subtract 2.18 – 1.62

2.18

Rename 1 as 10 x 0.1

Subtract 2.18 – 1.62

2.18

Subtract 2.18 – 1.62

2.18

2.18 m – 1.62 m = 0.56 m

Using Place Value Materials (With Renaming)

1.6

x 2

2 groups of 1.6

Using Place Value Materials (With Renaming)

1.6

x 2

Trade to make another unit.

1.6 x 2 = 3.2

1.6

x .2

Find two tenths of each part.

1.6

x .2

Find two tenths of each part (not drawn proportionally.)

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1.6 x 0.2

1.6 x 0.2 = (2 x 0.1) + (12 x 0.01)

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1.6 x 0.2

1.6 x 0.2 = (3 x 0.1) + (2 x 0.01) = 0.32

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Aeisha is cutting ribbon for a hair bow. She has 1.2 meters of ribbon. Each piece of ribbon must be 0.3 meters long. She can cut 4 pieces of ribbon.

Two division questions:

- You know how long each piece of ribbon must be. How many pieces can you cut? (Measurement Division)
- You know how many pieces of ribbon you need. How long is each piece? (Partitive or Sharing Division)

Aeisha has 1.2 meters of ribbon to use for a hair bow. Each piece of ribbon must be 0.3 meters long. How many pieces can she cut?

Rename 1.0 as (10 x 0.1)

Aeisha has 1.2 meters of ribbon to use for a hair bow. Each piece of ribbon must be 0.3 meters long. How many pieces can she cut?

Count groups of (3 x 0.1).

Aeisha has 1.2 meters of ribbon to use for a hair bow. Each piece of ribbon must be 0.3 meters long. How many pieces can she cut?

One group of (3 x 0.1).

Two groups of (3 x 0.1).

Three groups of (3 x 0.1).

Four groups of (3 x 0.1).

1.2 meters ÷ by 0.3 = 4

Aeisha has 1.2 meters of ribbon to make into a hair bow. If she wants to cut it into 4 pieces, how long will each piece be?

Rename 1.0 as (10 x 0.1)

Aeisha has 1.2 meters of ribbon to make into a hair bow. If she wants to cut it into 4 pieces, how long will each piece be?

Arrange the blocks in four equal groups.

Aeisha has 1.2 meters of ribbon to make into a hair bow. If she wants to cut it into 4 pieces, how long will each piece be?

Four groups of 0.1 m with 0.8 m left.

Four groups of 0.2 m with 0.4 m left.

There are four groups with 0.3 meter in each.

1.2 meters ÷ by 4 = 0.3