Scientific Notation and Operations

This video tutorial teaches how to multiply and divide expressions in scientific notation. It begins with an introduction to the concept, followed by examples of multiplying small numbers and dividing large numbers using scientific notation. The tutorial applies these concepts to a real-world problem involving pizza consumption in the U.S. Finally, it provides practice problems for viewers to solve, reinforcing the learning objectives.

What is the main topic introduced in the lesson?

• History of pizza in America

• Scientific notation for multiplication and division

• The nutritional value of pizza

• How to bake a pizza

How do you express a number in scientific notation?

• By dividing by 10

• By multiplying by 100

• By moving the decimal point to get a number between 1 and 10

• By adding zeros to the end

What is the result of multiplying three ten-thousandths by seventy-two millionths in scientific notation?

• 21.6 x 10^-9

• 2.16 x 10^-8

• 216 x 10^-10

• 0.216 x 10^-7

When dividing large numbers, what rule is used to handle exponents?

• Multiply the exponents

• Add the exponents

• Divide the exponents

• Subtract the exponents

What is the approximate number of pizzas consumed by each household per year in the U.S.?

• 10 pizzas

• 100 pizzas

• 23 pizzas

• 50 pizzas

How do you convert a number greater than 10 into scientific notation?

• Move the decimal point to the right

• Subtract zeros from the end

• Add zeros to the end

• Move the decimal point to the left

What is the result of dividing 5 million by 350,000 in scientific notation?

• 140 x 10^2

• 1.4 x 10^4

• 14 x 10^3

• 0.14 x 10^5

In the practice problem, what is the result of 8 divided by 2.6 in scientific notation?

• 3.1 x 10^-2

• 0.031 x 10^1

• 0.31 x 10^-1

• 31 x 10^-3

What is the final answer for the multiplication problem in the practice section?

• 0.204 x 10^12

• 204 x 10^9

• 20.4 x 10^10

• 2.04 x 10^11

What property allows rearranging factors in multiplication?

• Identity property

• Commutative property

• Distributive property

• Associative property