Writing Decimals in Expanded Notation

The video tutorial explains how to write decimals in expanded notation by multiplying each digit by a unit fraction. It covers the concept of place value, using examples like 418 thousandths and 324 thousandths to demonstrate the process. The tutorial emphasizes the importance of understanding place value and how each digit's value decreases as you move to the right in a decimal number. The lesson concludes with a summary of the key points discussed.

What determines the value of a digit in a number?

• The sum of all digits in the number

• The place value of the digit

• The number of digits in the number

• The digit itself

How do you find a digit's value in a number?

• By multiplying it by its place value

• By dividing it by the total number of digits

• By subtracting it from the largest digit

• By adding it to the next digit

In the number 418 thousandths, what is the place value of the digit 4?

• Hundredths

• Thousandths

• Tenths

• Units

What happens to the value of each digit as you move to the right in a decimal number?

• It decreases

• It stays the same

• It doubles

• It increases

How is the number 324 thousandths written in expanded form?

• (0.400) + (0.010) + (0.008)

• (0.300) + (0.020) + (0.004)

• (0.030) + (0.002) + (0.0004)

• (0.003) + (0.0002) + (0.00004)