Mastering Dividing Decimals by Whole Numbers

This lesson covers dividing decimals by whole numbers using base 10 diagrams. It explains how to interpret diagrams with different unit values and solve division problems. The lesson also explores expressions with common values and demonstrates long division techniques through examples. Practical applications, such as profit sharing in a lemonade stand, are discussed. Additionally, the lesson includes converting paper sizes from inches to centimeters. The lesson concludes with a summary of key concepts.

What does the large rectangle represent in the base 10 number diagram?

• A unit that is 100 times the value of the small rectangles

• A unit that is 10 times the value of the small rectangles

• A unit that is 100 times the value of the square

• A unit that is 10 times the value of the square

If a large rectangle represents 1000, what is the division problem shown in the second diagram?

• 1320 divided by 10

• 1320 divided by 50

• 1320 divided by 5

• 132 divided by 5

If a large rectangle represents 100, what is the value of the division problem shown in the second diagram?

• 26.4

• 264

• 2.64

• 13.2

Why do all the expressions have the same value?

• Because each expression's dividend and divisor are both 10 times smaller than the previous ones

• Because the dividends are the same

• Because the divisors are the same

• Because the expressions are multiplied by 10

What is the common value of the expressions?

• 60

• 55

• 50

• 45

What is the quotient of 7.89 divided by 2 using long division?

• 3.94

• 3.9

• 3.95

• 3.945

What is the result of 39.54 divided by 3?

• 13.15

• 13.18

• 13.45

• 13.54

How much money does each student get if the profit of $17.52 is split equally among 4 students?

• $4.38

• $4.35

• $4.40

• $4.32

What is the length of a standard sheet of paper in the US in centimeters?

• 21.59 cm

• 29.94 cm

• 25.94 cm

• 27.94 cm

Which standard sheet of paper has a greater area, the US or Europe?

• US

• Europe

• Both have the same area

• Cannot be determined