Decimal Numbers: Expanded Form

The video tutorial explains the concept of expanded form in mathematics, illustrating how numbers can be expanded to show the value of each digit. It emphasizes the importance of place value and demonstrates the use of a place value chart. Through examples, the video shows how to write both decimal and whole numbers in expanded form by multiplying each digit by its place value and adding the results. The tutorial concludes by reinforcing the process of expanding numbers.

What does the term 'expand' mean in the context of mathematics?

• To show the value of each digit in a number

• To add numbers together

• To write a number in a more compact form

• To shrink a number

Why is place value important when writing numbers in expanded form?

• It is used only for whole numbers

• It makes numbers look bigger

• It determines the value of each digit in a number

• It helps in adding numbers quickly

Which of the following is NOT a place value mentioned in the video?

• Thousandths

• Tens

• Millions

• Hundreds

How do you write the number 51.623 in expanded form?

• 50 + 1 + 0.6 + 0.2 + 0.003

• 50 + 1 + 0.6 + 0.02 + 0.03

• 51 + 0.6 + 0.02 + 0.003

• 50 + 1 + 0.6 + 0.02 + 0.003

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

• Convert the number to a whole number

• Write the number as a fraction

• Multiply each digit by the value of its place

• Add all the digits together