Multiply decimal fractions with tenths by multi-digit whole numbers using place value understanding to record partial products.

Common Core
Standards
5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

Learning Targets
I can multiply decimal fractions with tenths by multi-digit whole numbers using place value understanding to record partial products.

Activate
Knowledge
3 × 2 is?

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Knowledge
3 × 2 x 10 ÷ 10 is?

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Knowledge
5 × 0.3 is?

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Knowledge
5 × 0.3 x 10 ÷ 10 is?

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Knowledge
3 × 2.5 is?

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Knowledge
3 × 2.5 x 10 ÷ 10 is?

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Knowledge
2 × 3.4 is?

Activate
Knowledge
2 × 3.4 x 10 ÷ 10 is?

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Knowledge
Why are the products the same when we multiply by
10 and then divide by 10?

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Knowledge
Write the word name
7.463

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Knowledge
Represent this number in a two-part number bond with ones as one part and thousandths as the other part
7.463

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Knowledge
Represent it again with tenths and thousandths.
7.463

Activate
Knowledge
Represent it again with hundredths and thousandths.
7.463

Activate
Knowledge
Write the word name
8.972

Activate
Knowledge
Represent this number in a two-part number bond with ones as one part and thousandths as the other part
8.972

Activate
Knowledge
Represent it again with tenths and thousandths.
8.972

Activate
Knowledge
Represent it again with hundredths and thousandths.
8.972

Activate
Knowledge
Write the word name
6.849

Activate
Knowledge
Represent this number in a two-part number bond with ones as one part and thousandths as the other part
6.849

Activate
Knowledge
Represent it again with tenths and thousandths.
6.849

Activate
Knowledge
Represent it again with hundredths and thousandths.
6.849

Activate
Knowledge
The fifth-grade craft club is making aprons to sell. Each apron takes 1.25 yards of fabric that costs $3 per yard and
4.5 yards of trim that costs $2 per yard. What does it cost the club to make one apron? If the club wants to make
$1.75 profit on each apron, how much should they charge per apron?

Learn
43 × 2.4
Round the factors to estimate the product.
Problem 1

Learn
43 × 2.4
Predict whether our estimate is greater than or less than the actual product.
Problem 1

Learn
43 × 2.4
There are 43 units of 2.4. How many tenths is 2.4?
Problem 1

Learn
Solve using the standard algorithm
43 × 24 tenths
Problem 1

Learn
2.4

4 3 x 10
24

4 3
Tenths
72
960
1032
÷ 10
103.2
Problem 1

Learn
3.5 × 42
Round the factors to estimate the product.
Problem 1

Learn
3.5 × 42
Predict whether our estimate is greater than or less than the actual product.
Problem 1

Learn
3.5 × 42
There are 43 units of 2.4. How many tenths is 2.4?
Problem 1

Learn
Solve using the standard algorithm
35 tenths x 42
Problem 1

Learn
15.6 × 73
Round the factors to estimate the product.
Problem 1

Learn
15.6 × 73
Predict whether our estimate is greater than or less than the actual product.
Problem 1

Learn
15.6 × 73
There are 43 units of 2.4. How many tenths is 2.4?
Problem 1

Learn
Solve using the standard algorithm
156 tenths x 73
Problem 1

Practice

Review