Expanded Notation and Place Value

This video tutorial teaches how to write decimals in expanded notation by multiplying each digit by a unit fraction. It explains the concept of place value and demonstrates how to use a decimal chart to understand the division by powers of 10. The tutorial provides examples of writing numbers like 418 thousandths and 324 thousandths in expanded form, emphasizing the importance of place value and the increasing number of zeros in the denominator as you move to the right.

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

• Multiply each digit by its place value

• Divide each digit by a unit fraction

• Add all the digits together

• Subtract the smallest digit from the largest

In the number 320, what is the value of the digit 2?

• 20

• 200

• 2000

• 2

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

• It increases

• It decreases

• It stays the same

• It doubles

How is the number 418 thousandths represented in expanded form?

• 4 x 1/10 + 1 x 1/1000 + 8 x 1/100

• 4 x 1/100 + 1 x 1/10 + 8 x 1/1000

• 4 x 1/10 + 1 x 1/100 + 8 x 1/1000

• 4 x 1/1000 + 1 x 1/100 + 8 x 1/10

What is another way to write 418 thousandths in expanded form?

• 4000 + 100 + 80

• 400 + 10 + 80

• 4000 + 1000 + 800

• 400 + 10 + 8

In the number 324 thousands, what is the value of the digit 3?

• 3 x 1/10000

• 3 x 1/1000

• 3 x 1/100

• 3 x 1/10

How do you write 324 thousands in expanded form?

• 300 + 20 + 4

• 3000 + 200 + 40

• 3000 + 2000 + 400

• 300 + 2000 + 40

What is the place value of the digit 4 in 324 thousands?

• Tenths

• Hundredths

• Thousandths

• Ten-thousandths

What is the significance of increasing zeros in the denominator when writing decimals in expanded form?

• It makes the number larger

• It doubles the number

• It has no effect

• It makes the number smaller

What is the final step in writing a decimal number in expanded notation?

• Add all the digits together

• Subtract the smallest digit from the largest

• Multiply each digit by a unit fraction

• Write each non-zero digit times its place value