ENY Module 2, Lesson 10 Objective:

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Presentation transcript:

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.

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 =

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

Application Problem

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.

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 103.2 ones or just 103.2

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!

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).

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).

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

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