Exponential Notation and Probability

Mrs. Lopez introduces exponential notation, explaining its use with large and small numbers. Examples include world population and US national debt. Exercises help students practice finding powers of 10. The video also covers expressing small numbers and probabilities using scientific notation.

What is the smallest power of 10 that exceeds the world population of approximately 7 trillion?

• 10^12

• 10^9

• 10^10

• 10^11

How many digits does the U.S. national debt have, as mentioned in the example?

• 12 digits

• 13 digits

• 14 digits

• 15 digits

If a number has 15 digits, what is the smallest power of 10 that will exceed it?

• 10^14

• 10^16

• 10^17

• 10^15

What is the exponential notation for the number 456?

• 10^5

• 10^2

• 10^3

• 10^4

What is the smallest power of 10 that exceeds a number with 5 digits?

• 10^6

• 10^7

• 10^4

• 10^5

How can the number three ten-thousandths be expressed using exponential notation?

• 3 x 10^-3

• 3 x 10^-4

• 3 x 10^-5

• 3 x 10^-6

What is the chance of having the same DNA as another person, excluding identical twins, expressed in exponential notation?

• 10^-10

• 10^-13

• 10^-11

• 10^-12

Which event has a higher probability: winning a lottery or being struck by lightning?

• Winning a lottery

• Neither can be determined

• Being struck by lightning

• Both have equal probability

What is the exponential notation for the probability of being struck by lightning in the U.S. in any given year?

• 10^-7

• 10^-6

• 10^-5

• 10^-8

How is the share of U.S. smartphones owned by a teacher expressed using a negative power of 10?

• 10^-9

• 10^-6

• 10^-7

• 10^-8