Multiplying Whole Numbers by Fractions Using Area Models

This video tutorial explains how to multiply a whole number by a fraction using area models. It begins by reviewing the concept that multiplying any number by one results in the same number. The lesson then introduces the idea that multiplying by a fraction less than one results in a product smaller than the whole number. Using area models, the tutorial demonstrates how to divide whole numbers into fractional parts and calculate the product. The example of multiplying 2 by 3/4 is used to illustrate the process, resulting in a product of 1 1/2. The lesson concludes by reinforcing the understanding of multiplying whole numbers by fractions.

What happens to a whole number when it is multiplied by a fraction less than one?

• The product is greater than the whole number.

• The product is zero.

• The product is equal to the whole number.

• The product is less than the whole number.

In the area model, how are the squares divided to represent the fraction 3/4?

• Into halves

• Into fifths

• Into thirds

• Into fourths

How many fourths are shaded twice in the area model when multiplying 2 by 3/4?

• 4 fourths

• 5 fourths

• 6 fourths

• 7 fourths

What is the mixed number form of the improper fraction 6/4?

• 1 1/4

• 2

• 1 1/2

• 1 3/4

Why is the product of 2 and 3/4 considered reasonable in this context?

• Because it is exactly 2

• Because it is greater than 2

• Because it is less than 2

• Because it is equal to 3/4