Multiplying Whole Numbers by Fractions with Area Models

This video tutorial teaches how to multiply whole numbers by fractions using area models. It begins with an introduction to the concept, followed by a review of multiplication as repeated addition. The core lesson uses a real-world example of a muffin factory to demonstrate the process. The video concludes with a summary of the key points covered.

What is the product of 7 and three-fourths?

• 28/3

• 7/4

• 21/4 or 5 1/4

• 3/28

What does multiplication simplify in mathematics?

• None of the above

• Subtraction

• Division

• Repeated addition

What is a common mistake when multiplying fractions?

• None of the above

• Multiplying numerators

• Subtracting numerators

• Adding denominators

What should you not do when multiplying fractions?

• All of the above

• Multiply numerators

• Keep denominators the same

• Add denominators

How many parts do we divide the whole into when using three-fourths in an area model?

• Seven

• Three

• One

• Four

What fraction of a barrel is used for each batch of muffins in the factory?

• 3/4

• 1/4

• 1/2

• 2/3

How many fourths are there in seven batches of three-fourths each?

• Twenty-eight fourths

• Twenty-one fourths

• Seven fourths

• Three sevenths

What is the equivalent of 21/4 in mixed number form?

• 4 1/5

• 5 1/4

• 2 1/4

• 6 1/4

How do we represent multiplication using an area model?

• Subtracting shaded parts

• Dividing into equal parts and shading

• None of the above

• Adding all parts together

What is the final amount of chocolate chips used by the factory for seven batches?

• 3/4 barrels

• 7 barrels

• 21 barrels

• 5 1/4 barrels