Expressing Numbers in Scientific Notation (Part 2)

The video tutorial explains how to express very small numbers using scientific notation. It begins with an introduction to the concept, followed by examples, including the mass of a dust particle. The tutorial demonstrates how to convert numbers to scientific notation by moving the decimal point and adjusting the power of 10. It explains the use of positive and negative exponents based on the direction of the decimal point movement. The lesson concludes with a summary of the key points covered.

What is the purpose of using scientific notation for very small numbers?

• To express numbers in a more complex form

• To make calculations easier by using smaller numbers

• To increase the number of significant digits

• To avoid using decimal points

When converting a small number to scientific notation, what happens if the decimal point is moved to the right?

• The power of 10 becomes positive

• The power of 10 becomes negative

• The number becomes larger

• The number becomes a fraction

In the example provided, what is the scientific notation of the number after moving the decimal point 4 places to the right?

• 31 x 10^-4

• 0.31 x 10^4

• 3.1 x 10^-4

• 3.1 x 10^4

What should you do when the original number is larger than the 'a' value in scientific notation?

• Multiply by a negative power of 10

• Multiply by a positive power of 10

• Divide by a positive power of 10

• Divide by a negative power of 10

How do you determine the power of 10 when moving the decimal point to the left?

• Use a positive power of 10

• Use the same power of 10 as the number of decimal places moved

• Use a negative power of 10

• Use zero as the power of 10