Exponential Notation and Expanded Form

The video tutorial explains how numbers can be represented in expanded form and exponential notation. It begins by introducing the concept of expanded notation, where a number is expressed as the sum of each digit multiplied by its place value. An example is provided to illustrate this. The tutorial then transitions to exponential notation, explaining how each place value can be expressed as a power of ten. The video covers the conversion of place values like hundreds, thousands, and ten thousands into exponential notation. Finally, it demonstrates how to apply exponential notation to write numbers in expanded form using exponents.

What does expanded notation represent in a number?

• The division of each digit by its place value

• The difference between each digit and its place value

• The sum of each digit and its place value

• The product of each digit and its place value

How is the value of each place determined as you move left in a number?

• It is 5 times the place to its right

• It is 2 times the place to its right

• It is 20 times the place to its right

• It is 10 times the place to its right

What is the exponential notation for the hundreds place?

• 10^1

• 10^4

• 10^2

• 10^3

How can 1,000 be expressed in exponential notation?

• 10^3

• 10^2

• 10^1

• 10^4

What is the exponential notation for the number 10?

• 10^0

• 10^2

• 10^1

• 10^3

What is the value of any number raised to the power of 0?

• 1

• 10

• 0

• 100

How many zeros are in the number 10,000?

• 1

• 2

• 3

• 4

What is the exponential notation for the number 1?

• 10^0

• 10^3

• 10^1

• 10^2

In the number 64352, what is the exponential notation for the digit 6?

• 6 * 10^3

• 6 * 10^6

• 6 * 10^4

• 6 * 10^5

In the number 64352, what is the exponential notation for the digit 4?

• 4 * 10^4

• 4 * 10^5

• 4 * 10^3

• 4 * 10^2