Mastering Long Division with Partial Products

The video introduces a new method for solving long division problems called partial products, also known as expanded notation. This method differs from the traditional algorithm by focusing on multiplication and subtraction to find the quotient and remainder. The teacher demonstrates this method through three examples: dividing 99 by 5, 459 by 3, and 123 by 4, emphasizing the importance of organizing numbers to avoid mistakes.

What is the new method of long division introduced in the video?

• Synthetic Division

• Traditional Algorithm

• Partial Products

• Short Division

Tags

CCSS.5.NBT.B.6

CCSS.6.NS.B.2

In the partial products method, what is the first step when dividing 99 by 5?

• Divide 99 by 5 directly

• Multiply 5 by 10

• Subtract 5 from 99

• Multiply 5 by 20

Tags

CCSS.3.OA.C.7

What is the remainder when 99 is divided by 5 using the partial products method?

• 4

• 3

• 1

• 0

Tags

CCSS.4.NBT.B.6

When solving 459 divided by 3, what is the first multiplication step?

• 3 * 50

• 3 * 10

• 3 * 30

• 3 * 100

Tags

CCSS.5.NBT.B.5

What is the quotient when 459 is divided by 3 using the partial products method?

• 163

• 160

• 153

• 150

Tags

CCSS.4.NBT.B.6

Why does the teacher suggest turning the paper sideways?

• To make it easier to write

• To make it look neat

• To keep the numbers organized in columns

• To save space

Tags

CCSS.RI.7.3

CCSS.RI.7.5

CCSS.RI.8.3

CCSS.RI.9-10.3

CCSS.RI.9-10.5

In the example of 123 divided by 4, what is the first multiplication step?

• 4 * 25

• 4 * 30

• 4 * 20

• 4 * 10

Tags

CCSS.5.NBT.B.5

What is the remainder when 123 is divided by 4 using the partial products method?

• 3

• 2

• 4

• 1

Tags

CCSS.4.NBT.B.6

What is the purpose of boxing the final answer in the partial products method?

• To show the remainder

• To highlight the answer

• To make it look neat

• To separate it from the work

Tags

CCSS.5.NBT.B.5

What should parents do to help their children with this new method?

• Do the homework for them

• Help them understand and practice the partial products method

• Teach them the traditional algorithm

• Ignore the new method

Tags

CCSS.5.NBT.B.5