Engineering Notation and Exponents

The video tutorial introduces the concept of powers and indices, explaining how numbers are multiplied by themselves. It delves into the significance of powers of 10, both positive and negative, and their role in representing large and small numbers. The tutorial then transitions into engineering notation, a method for expressing large and small numbers conveniently. Through various examples, the video illustrates how to convert numbers into engineering notation, emphasizing the importance of multiples of three. The tutorial concludes with practice problems to reinforce the concepts covered.

What does the superscript in a number like 3^5 indicate?

• The number of times 3 is multiplied by itself

• The number of times 3 is added to itself

• The number of times 3 is subtracted from itself

• The number of times 3 is divided by itself

How many zeros are there in the number 10^6?

• 6

• 5

• 4

• 3

What is the value of 10^-3 in decimal form?

• 0.001

• 0.1

• 1

• 0.01

In engineering notation, what is the requirement for the power of 10?

• It must be a multiple of 5

• It must be a multiple of 3

• It must be a multiple of 10

• It must be a multiple of 2

How would you express 9,200 in engineering notation?

• 0.92 x 10^4

• 9.2 x 10^2

• 9.2 x 10^3

• 92 x 10^2

What is the engineering notation for 3,000,000?

• 3 x 10^3

• 3 x 10^4

• 3 x 10^6

• 3 x 10^5

How would you express 0.006 in engineering notation?

• 6 x 10^-5

• 6 x 10^-2

• 6 x 10^-3

• 6 x 10^-4

What is the engineering notation for 0.12?

• 1.2 x 10^-2

• 12 x 10^-2

• 1.2 x 10^-1

• 12 x 10^-1

Convert 100 billion into engineering notation.

• 1 x 10^11

• 100 x 10^9

• 10 x 10^9

• 1 x 10^10

What is the engineering notation for 0.000025?

• 2.5 x 10^-6

• 2.5 x 10^-7

• 2.5 x 10^-5

• 2.5 x 10^-4