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Multiply Decimal Fractions & Whole Numbers

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Lesson Plans and Worksheets for Grade 5
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 5
Common Core For Grade 5


Examples, solutions, videos and lessons to help Grade 5 students learn how to multiply decimal fractions by multi-digit whole numbers through conversion to a whole number problem and reasoning about the placement of the decimal.

Common Core Standards: 5.NBT.7, 5.OA.1, 5.OA.2, 5.NBT.1

New York State Common Core Math Module 2, Grade 5, Lesson 11
Worksheets for Grade 5

Lesson 11 Concept Development

Problems 1 - 3
7.38 × 41
8.26 × 128
82.51 × 63
Lesson 11 Problem Set

1. Estimate the product. Solve using the standard algorithm. Use the thought bubbles to show your thinking. (Draw an area model on a separate sheet if it helps you.)

1.38 × 32 ≈ _____×_____= ______



1. Estimate the product. Solve using the standard algorithm. Use the thought bubbles to show your thinking. (Draw an area model on a separate sheet if it helps you.)

3.55 × 89 ≈ _____×_____=_______
2. Solve using the standard algorithm.
b. 147.83 × 67
3. Use the whole number product and place value reasoning to place the decimal point in the second product. Explain how you know.
c. If 46 × 1,239 = 56,994 then 46 × 123.9 = ______________
5. A living room measures 24 feet by 15 feet. An adjacent square dining room measures 13 feet on each side. If carpet costs $6.98 per square foot, what is the total cost of putting carpet in both rooms?

Lesson 11 Homework

This video demonstrates how to multiply decimal fractions in the hundredths place.

1. Estimate the product. Solve using the standard algorithm. Use the thought bubbles to show your thinking. (Draw an area model on a separate sheet if it helps you.)

a. 2.42 × 12 ≈______ × ______ = _______
b. 4.13 × 37 ≈ _______×______= _________ 4. A slice of pizza costs $1.57. How much does 27 slices cost?

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