Division Methods and Remainders

The video tutorial explains how to solve 85 divided by 6 using three methods: distributive property, area model, and long division. Each method is demonstrated step-by-step, showing how to break down the problem and find the quotient and remainder. The distributive property involves breaking 85 into 60 and 25, dividing each by 6, and summing the results. The area model visualizes the division as dividing a total area into smaller parts. Long division is performed by sequentially dividing and subtracting. All methods yield the same result: a quotient of 14 with a remainder of 1.

What are the three methods used to solve 85 divided by 6 in the video?

• Fraction, decimal, and percentage

• Multiplication, subtraction, and addition

• Distributive property, area model, and long division

• Graphing, estimation, and rounding

In the distributive property method, into which two numbers is 85 broken down?

• 50 and 35

• 60 and 25

• 80 and 5

• 70 and 15

What is the quotient obtained using the distributive property method?

• 14 with a remainder of 1

• 13 with a remainder of 2

• 15 with a remainder of 0

• 12 with a remainder of 3

Which method involves breaking down the number into smaller parts?

• Distributive property

• Area model

• Long division

• None of the above

In the area model method, what is the total area being divided?

• 75

• 100

• 85

• 60

What is the quotient obtained using the area model method?

• 13 with a remainder of 2

• 15 with a remainder of 0

• 12 with a remainder of 3

• 14 with a remainder of 1

In the area model, what does the unit square represent?

• The quotient

• The remainder

• The divisor

• The dividend

Which method uses rectangles to represent the division?

• Distributive property

• Area model

• None of the above

• Long division

In the long division method, what is the first step after dividing 8 by 6?

• Multiply 6 by 8

• Divide 8 by 2

• Add 6 to 8

• Subtract 6 from 8

What is the next step after bringing down the 5 in the long division method?

• Subtract 25 from 6

• Add 25 to 6

• Divide 25 by 6

• Multiply 25 by 6