 # Multiply Decimals using Place Value

Videos to help Grade 5 students learn how to multiply a decimal fraction by single-digit whole numbers, relate to a written method through application of the area model and place value understanding, and explain the reasoning used.

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Lesson Plans and Worksheets for Grade 5
Lesson Plans and Worksheets for all Grades

New York State Common Core Math Module 1, Grade 5, Lesson 11

Worksheets for 5th Grade, Module 1, Lesson 11 (pdf)

Lesson 11 Concept Development

Problems 1 - 3
3 x 0.2 =
3 x 0.3 =
4 x 0.3 =
Problems 4 - 6
2 x 0.43 =
2 x 0.423 =
4 x 0.423 = Lesson 11 Exit Ticket

1. Solve by drawing disks on a place value chart. Write an equation and express the product in standard form.
4 copies of 3 tenths
2. Complete the area model, and then find the product.
3 × 9.63

How to multiply decimal fractions by whole numbers using disks on a place value chart and an area model?

Lesson 11 Homework

1. Solve by drawing disks on a place value chart. Write an equation and express the product in standard form
c. 4 times 7 tenths
f. 6 thousandths times 8
2. Draw a model similar to the one pictured below. Find the sum of the partial products to evaluate each expression
b. 6 x 7.49
3. Leanne multiplied 8 x 4.3 and got 32.24. Is Leanne correct? Use an area model to explain your answer Lesson 11 Homework

1. Solve by drawing disks on a place value chart. Write an equation and express the product in standard form.
a. 2 copies of 4 tenths
2. Draw a model similar to the one pictured below. Find the sum of the partial products to evaluate each expression.
b. 6 x 7.49 hundredths

Lesson 11 Homework

1. Choose the reasonable product for each expression. Explain your thinking in the spaces below using words, pictures, and numbers.
b. 4 groups of 5 hundredths
2. Draw a model similar to the one pictured below. Find the sum of the partial products to evaluate each expression.
c. 9 copies of 3.65 Lesson 11 Homework

2. Draw a model similar to the one pictured below. Find the sum of the partial products to evaluate each expression.
a. 4 × 6.79
b. 6 × 7.49 hundredths

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