Expanded Form and Exponential Notation

The video tutorial explains how numbers can be represented in different forms, focusing on expanded notation and its conversion to exponential notation. It details how each digit in a number corresponds to a place value, which can be expressed as a power of ten. The tutorial provides examples of converting numbers like 64,352 into expanded form using exponential notation, emphasizing the pattern of increasing exponents as you move left in a number. The lesson concludes by summarizing the key points about using exponential notation to represent numbers.

What is the expanded form of the number 64,352?

• 6 times 10 plus 4 times 1 plus 3 times 0.1 plus 5 times 0.01 plus 2 times 0.001

• 6 times 10,000 plus 4 times 1,000 plus 3 times 100 plus 5 times 10 plus 2 times 1

• 6 times 1,000 plus 4 times 100 plus 3 times 10 plus 5 times 1 plus 2 times 0.1

• 6 times 100,000 plus 4 times 10,000 plus 3 times 1,000 plus 5 times 100 plus 2 times 10

How is the number 100 represented in exponential notation?

• 10 to the power of 4

• 10 to the power of 3

• 10 to the power of 2

• 10 to the power of 1

What is the exponential notation for 1,000?

• 10 to the power of 1

• 10 to the power of 2

• 10 to the power of 3

• 10 to the power of 4

Which of the following represents the number 10 in exponential form?

• 10 to the power of 0

• 10 to the power of 2

• 10 to the power of 1

• 10 to the power of 3

How can the number 1 be expressed using exponential notation?

• 10 to the power of 0

• 10 to the power of 1

• 10 to the power of 3

• 10 to the power of 2