Writing Numbers in Expanded Form: Thousands Explained

In this video, Mr. J explains how to write numbers in expanded form, focusing on numbers in the thousands, ten thousands, and hundred thousands places. He provides four examples: 5783, 67902, 104620, and 896050, demonstrating how to break down each number by identifying the value of each digit. The video emphasizes the importance of understanding placeholder zeros and how they affect the expanded form.

What is the purpose of writing numbers in expanded form?

• To convert numbers to words

• To make numbers look bigger

• To make calculations easier

• To show the value of each digit

In the number 5,783, what is the value of the digit in the hundreds place?

• 3

• 80

• 700

• 500

What is the expanded form of 5,783?

• 5000 + 700 + 8 + 3

• 500 + 700 + 80 + 3

• 5000 + 700 + 80 + 3

• 5000 + 70 + 80 + 3

In the number 67,902, why is the zero in the tens place not represented in the expanded form?

• It is already included in the thousands place

• It is not a significant digit

• It is a placeholder and has no value

• It is part of the hundreds place

What is the expanded form of 67,902?

• 60,000 + 70 + 900 + 2

• 60,000 + 7,000 + 900 + 20

• 60,000 + 7,000 + 90 + 2

• 60,000 + 7,000 + 900 + 2

In the number 104,620, what is the value of the digit in the ten thousands place?

• 10,000

• 0

• 100,000

• 4,000

What is the expanded form of 104,620?

• 100,000 + 4,000 + 600 + 2

• 100,000 + 4,000 + 60 + 20

• 100,000 + 40,000 + 600 + 20

• 100,000 + 4,000 + 600 + 20

In the number 896,050, what is the value of the digit in the hundred thousands place?

• 8,000

• 800,000

• 90,000

• 80,000

What is the expanded form of 896,050?

• 800,000 + 9,000 + 6,000 + 50

• 800,000 + 90,000 + 60 + 50

• 800,000 + 90,000 + 6,000 + 5

• 800,000 + 90,000 + 6,000 + 50

Why do we skip zeros when writing numbers in expanded form?

• They are placeholders and have no value

• They are already included in other places

• They are not important

• They make the number smaller