Exploring Multiplication of Decimals

This video tutorial explains how to express numbers in expanded form, especially when dealing with decimals. It covers the place value system, including the ones, tens, hundreds, and thousands places, and how to represent these in expanded form. The tutorial provides examples, discusses the role of zero as a placeholder, and offers practice problems. It also demonstrates how to convert expanded form back to standard form.

What is the place value of the digit immediately to the left of the decimal point?

• Thousands

• Hundreds

• Ones

• Tens

How many pieces in the tenths place are needed to make one whole?

• 10

• 1

• 100

• 1000

In the number 4.726, what is the value of the digit 7 in expanded form?

• 7 * 1/10

• 7 * 1

• 7 * 1/1000

• 7 * 1/100

What is the expanded form of the number 4.726?

• 4 * 1 + 7 * 1/10 + 2 * 1/100 + 6 * 1/1000

• 4 * 1 + 7 * 1/10 + 2 * 1/1000 + 6 * 1/100

• 4 * 1 + 7 * 1/100 + 2 * 1/10 + 6 * 1/1000

• 4 * 1 + 7 * 1/1000 + 2 * 1/10 + 6 * 1/100

If a number has a zero in the tenths place, how does it affect the expanded form?

• It is included as 1 * 1/10

• It is included as 0 * 1/10

• It is included as 10 * 1/10

• It is ignored

What is the expanded form of the number 2.062?

• 2 * 1 + 0 * 1/10 + 6 * 1/100 + 2 * 1/1000

• 2 * 1 + 6 * 1/10 + 0 * 1/100 + 2 * 1/1000

• 2 * 1 + 6 * 1/100 + 2 * 1/1000

• 2 * 1 + 0 * 1/10 + 2 * 1/100 + 6 * 1/1000

In the number 52.610, what is the value of the digit 5 in expanded form?

• 5 * 100

• 5 * 1

• 5 * 1/10

• 5 * 10

What is the expanded form of the number 52.610?

• 5 * 100 + 2 * 1 + 6 * 1/10

• 5 * 10 + 2 * 1 + 6 * 1/10

• 5 * 100 + 2 * 1/10 + 6 * 1/10

• 5 * 100 + 2 * 1 + 6 * 1/100

What is the standard form of the expanded form 6 * 100 + 4 * 10 + 3 * 1/10 + 2 * 1/100?

• 640.23

• 604.32

• 604.23

• 640.32

What is the standard form of the expanded form 5 * 1/10 + 8 * 1/100?

• 0.58

• 0.85

• 5.08

• 8.05