Understanding Expanded Form

This video tutorial explains how to write numbers in expanded form by breaking down each digit according to its place value. It uses three examples: 372, 12,328, and 654,319, to demonstrate the process of identifying the place value of each digit and expressing the number as a sum of its parts. The tutorial emphasizes understanding the place value system and provides a step-by-step guide to writing numbers in expanded form.

What is the purpose of writing numbers in expanded form?

• To make calculations easier

• To make numbers look bigger

• To understand the place value system better

• To confuse students

What is the first step in writing a number in expanded form?

• Add all the digits together

• Multiply all the digits

• Start from the smallest place value

• Start from the largest place value

In the number 372, what does the digit '7' represent?

• Seven ones

• Seven tens

• Seven hundreds

• Seven thousands

How would you write the number 372 in expanded form?

• 300 + 70 + 2

• 3000 + 700 + 20

• 30 + 7 + 2

• 3 + 7 + 2

What is the value of the digit '2' in the number 12,328?

• Two ones

• Two thousands

• Two tens

• Two hundreds

Which of the following is the correct expanded form of 12,328?

• 10,000 + 2,000 + 300 + 20 + 8

• 1,000 + 2,000 + 300 + 20 + 8

• 1,000 + 200 + 30 + 2 + 8

• 10,000 + 200 + 30 + 20 + 8

Which place value comes immediately after the thousands place?

• Ten thousands place

• Millions place

• Tens place

• Hundreds place

In the number 654,319, what does the digit '6' represent?

• Six hundred thousands

• Six hundreds

• Six tens

• Six ones

What is the expanded form of the number 654,319?

• 600,000 + 50,000 + 4,000 + 300 + 10 + 9

• 600,000 + 50,000 + 400 + 30 + 10 + 9

• 60,000 + 5,000 + 400 + 30 + 10 + 9

• 600,000 + 5,000 + 400 + 30 + 10 + 9

Why is it important to understand place values when writing numbers in expanded form?

• To make numbers look more complex

• To accurately represent the value of each digit

• To make calculations faster

• To simplify the number