Scientific Notation and Decimal Movement

The video tutorial explains how to write numbers in standard form, also known as scientific notation. It covers the format of standard form, which involves a number between 1 and 10 multiplied by 10 raised to a power. The tutorial provides examples of converting different types of numbers, including small, large, and whole numbers, into standard form. The direction of moving the decimal point determines whether the power of 10 is positive or negative.

What is the range of the number in scientific notation?

• Between 0 and 10

• Between 0 and 1

• Between 1 and 10

• Between 1 and 100

What happens to the power of 10 when the decimal point is moved to the left?

• The power becomes zero

• The power remains the same

• The power becomes positive

• The power becomes negative

What is the power of 10 when the decimal point is moved to the right?

• Positive

• Negative

• Zero

• It depends on the number

In Example 1, how many places was the decimal point moved?

• 2

• 1

• 3

• 4

What is the scientific notation of 4.5 x 10^-3?

• 45

• 0.00045

• 4500

• 0.0045

What is the scientific notation of 0.00045?

• 4.5 x 10^-3

• 4.5 x 10^-4

• 4.5 x 10^-5

• 4.5 x 10^-6

In Example 2, what is the scientific notation of 8,300,000?

• 8.3 x 10^5

• 8.3 x 10^6

• 8.3 x 10^8

• 8.3 x 10^7

How many places was the decimal point moved in Example 2?

• 7

• 5

• 6

• 8

What is the scientific notation of 8.34 x 10^6?

• 8,340,000

• 83,400,000

• 834,000

• 8,340

In Example 3, what is the scientific notation of 0.00207?

• 2.07 x 10^-3

• 2.07 x 10^-2

• 2.07 x 10^-4

• 2.07 x 10^-5