Exploring Expanded Notation and Place Value

This video tutorial explains the concept of expanded notation, a method of writing numbers that highlights place value. It provides a detailed explanation and several examples, including numbers like 675, 351, 530002, 5136, and a large number, to demonstrate how to break down numbers into their place value components. The tutorial emphasizes the importance of understanding place value and offers tips for practicing expanded notation.

What is expanded notation?

• A method of writing numbers in Roman numerals.

• A method of writing numbers in scientific notation.

• A method of writing numbers that emphasizes place value.

• A method of writing numbers in words.

In the number 675, what is the place value of the digit 7?

• Tens

• Hundreds

• Thousands

• Ones

How would you write the number 675 in expanded notation?

• 6000 + 70 + 5

• 60 + 700 + 5

• 600 + 7 + 50

• 600 + 70 + 5

When writing the number 351 in expanded notation, what should you do with the zero in the hundreds place?

• Include it as 0 * 100

• Skip it

• Include it as 1 * 100

• Include it as 10 * 100

What is the expanded notation of the number 351?

• 3000 + 5 + 1

• 3000 + 500 + 1

• 300 + 50 + 1

• 3000 + 50 + 1

In the number 532, which digits can be skipped when writing in expanded notation?

• 5 and 3

• 0s

• All digits

• 3 and 2

What is the expanded notation of the number 532?

• 5000 + 300 + 2

• 5000 + 30 + 2

• 50000 + 3000 + 2

• 50000 + 300 + 2

How would you write the number 5136 in expanded notation?

• 500000 + 1000 + 300 + 6

• 500000 + 100 + 30 + 6

• 50000 + 100 + 30 + 6

• 50000 + 1000 + 300 + 6

What is the expanded notation of the number 31,065,731,313?

• 30 billion + 1 billion + 60 million + 5 million + 10,000 + 7,000 + 300 + 10 + 30

• 30 billion + 1 billion + 6 million + 5 million + 10,000 + 7,000 + 300 + 10 + 3

• 3 billion + 1 billion + 60 million + 5 million + 10,000 + 7,000 + 300 + 10 + 3

• 30 billion + 1 billion + 60 million + 5 million + 10,000 + 7,000 + 300 + 10 + 3

What is a helpful tool to use when first learning to write numbers in expanded notation?

• A calculator

• A place value chart

• A dictionary

• A multiplication table