Multiplying Decimals and Whole Numbers Explained

This video tutorial by Mr. Math Blog explains how to multiply decimals and whole numbers using decimal models. It covers strategies for representing decimals with models, including examples like calculating Beverly's walking distance and a tree's growth over time. The tutorial also discusses identifying multiplication sentences using these models.

What does each small square in the decimal model represent?

• Thousandths

• One whole

• Hundredths

• Tenths

How does the decimal model help in understanding multiplication of decimals?

• By showing decimal places visually

• By providing a color-coded system

• By reducing the need for calculation

• By simplifying complex calculations

How many groups of 0.17 miles does Beverley walk in four minutes?

• Three groups

• Two groups

• Five groups

• Four groups

How many squares are shaded to represent the distance Beverley walks in one minute?

• 23 squares

• 20 squares

• 17 squares

• 15 squares

What is the total distance Beverley walked in four minutes, expressed in hundredths of a mile?

• 2.72 miles

• 1.36 miles

• 0.68 miles

• 0.34 miles

What is the purpose of using different colors in the decimal model?

• To make the model look attractive

• To differentiate between different groups

• To indicate errors in calculation

• To represent different values

What total growth, in meters, does the tree achieve in three years?

• 1.65 meters

• 1.55 meters

• 1.35 meters

• 1.45 meters

How many decimal models are needed to represent the tree's growth over three years?

• One model

• Two models

• Four models

• Three models

What multiplication sentence is represented by the shaded model in the final example?

• 8 x 0.03

• 8 x 0.30

• 3 x 0.80

• 3 x 0.08

How many hundreds are represented by each group in the final shaded model?

• Six

• Seven

• Eight

• Nine