1. ENY Module 2, Lesson 10 Objective:
I can multiply decimal fractions with tenths by multi-digit whole numbers using place value understanding to record partial products.

2. Fluency Practice
What pattern do
you notice?
Solve:
3 x 2 =
3 x 2.5 =
3 x 2 x 10 ÷ 10 =
3 x 2.5 x 10 ÷ 10 =
5 x 0.3 =
2 x 3.4 =
5 x 0.3 x 10 ÷ 10 =
2 x 3.4 x 10 ÷ 10 =

3. Fluency Practice 7.463 8.972 6.849 Decompose this decimal:
Decompose these decimals:
7.463
8.972
6.849

4. Application Problem

5. 43 x 2.4 Concept Development: Problem #1 STEP 1:
Will the actual product be greater than or 
less than our estimate? How do you know?
STEP 1:
Round each factor to estimate the product.
43 becomes 40 and 2.4 becomes 2
STEP 2:
Multiply your rounded factors to estimate the product.
40 x 2 = 80
STEP 3:
Rename the decimal using tenths.
2.4 becomes 24 tenths
STEP 4:
Multiply.
Write tenths to remind yourself
of the unit you are using.

6. 43 x 2.4 Concept Development: Problem #1 STEP 5:
Find the partial products and the final product.
STEP 6:
Convert your final product to standard form.
1032 tenths becomes ones or just 103.2

7. Concept Development: Problem #1
43 x 2.4
STEP 1:
Round each factor to estimate the product.
STEP 2:
Multiply your rounded factors to estimate the product.
When you rename 2.4 as 24 
tenths, you've really just 
multiplied 2.4 by 10!
STEP 3:
Rename the decimal using tenths.
STEP 4:
Multiply.
STEP 5:
Find the partial products and the final product.
STEP 6:
Convert your final product to standard form.
When you convert 1032 tenths to 
standard form, you've really just 
divided 1032 by 10!

8. 3.5 x 42 Concept Development: Problem #2 STEP 1:
Round each factor to estimate the product.
STEP 2:
Multiply your rounded factors to estimate the product.
STEP 3:
Rename the decimal using tenths (multiply by 10).
STEP 4:
Multiply.
STEP 5:
Find the partial products and the final product.
STEP 6:
Convert your final product to standard form (divide by 10).

9. 15.6 x 73 Concept Development: Problem #3 STEP 1:
Round each factor to estimate the product.
STEP 2:
Multiply your rounded factors to estimate the product.
STEP 3:
Rename the decimal using tenths (multiply by 10).
STEP 4:
Multiply.
STEP 5:
Find the partial products and the final product.
STEP 6:
Convert your final product to standard form (divide by 10).

10. Problem Set
Now it's your turn. Persevere for 10 minutes, on your own, then we'll work together.

11. Exit Ticket