Expanded Form with Decimals Explained

The video tutorial by Mr. J covers how to express decimals in expanded form using both decimal and fractional representations. It includes four examples: 75 hundredths, 75 thousandths, 15 and four tenths, and 3 and two hundred seven thousandths. Each example is broken down to show the value of each digit, emphasizing the importance of place value and placeholder zeros. The tutorial concludes with a summary and links to additional resources for further learning.

What is the purpose of using expanded form for numbers?

• To convert numbers to fractions

• To make calculations easier

• To show the value of each digit

• To make numbers look bigger

In the number 75 hundredths, what is the value of the digit 7?

• 0.07

• 70

• 0.7

• 7

How would you write 75 hundredths in expanded form using fractions?

• 7/10 + 5/100

• 70/100 + 5/100

• 7/100 + 5/10

• 7/10 + 5/10

In the number 75 thousandths, what place value does the digit 5 occupy?

• Tenths

• Ten-thousandths

• Thousandths

• Hundredths

How would you write 75 thousandths in expanded form using decimals?

• 0.07 + 0.05

• 0.7 + 0.005

• 0.07 + 0.005

• 0.7 + 0.05

What is the value of the digit 1 in the number 15 and four tenths?

• 1

• 10

• 0.01

• 0.1

How would you write 15 and four tenths in expanded form using decimals?

• 15 + 0.4

• 10 + 5 + 0.4

• 10 + 5 + 4

• 1 + 5 + 0.4

In the number 3 and two hundred seven thousandths, what is the value of the digit 2?

• 0.02

• 2

• 0.002

• 0.2

How would you write 3 and two hundred seven thousandths in expanded form using decimals?

• 3 + 0.02 + 0.007

• 3 + 0.2 + 0.007

• 3 + 0.02 + 0.07

• 3 + 0.2 + 0.07

Which of the following is a common mistake when writing 3 and two hundred seven thousandths in expanded form?

• Writing 3 + 0.02 + 0.007

• Writing 3 + 0.02 + 0.07

• Writing 3 + 0.2 + 0.007

• Writing 3 + 0.2 + 0.07