Scientific Notation and Comparisons

The video tutorial covers the concept of orders of magnitude, using Earth's diameter as an example. It explains how to estimate and compare large numbers using scientific notation. The tutorial includes exercises on determining how much larger one number is than another and dividing large numbers by converting them into scientific notation.

What is the scientific notation for a number that is one followed by seven zeros?

• 1 times 10^8

• 1 times 10^7

• 1 times 10^9

• 1 times 10^6

If Earth's diameter is approximately 10 million meters, which of the following is a close estimate?

• 1,271,543 meters

• 12,715,430 meters

• 127,154,300 meters

• 1,271,543,000 meters

Which of the following numbers is too large to be Earth's diameter if estimated as 10 million meters?

• 1,271,543 meters

• 100,000,000 meters

• 12,715,430 meters

• 1,000,000,000 meters

How many times larger is 7 times 10^5 compared to 1 times 10^4?

• 700 times

• 70 times

• 10 times

• 7 times

What is the result of dividing 7 times 10^5 by 1 times 10^4?

• 700

• 70

• 10

• 7

3 times 10^9 is 30,000 times larger than which number?

• 1,000,000

• 100,000

• 10,000

• 1,000

When dividing 3 times 10^9 by 30,000, what is the result in scientific notation?

• 1 times 10^4

• 1 times 10^5

• 1 times 10^6

• 1 times 10^7

What is the expanded form of 3 times 10^9?

• 3,000,000,000

• 300,000

• 30,000

• 3,000

How many zeros follow the number 3 in the expanded form of 3 times 10^9?

• 4

• 9

• 6

• 5

What is the scientific notation for 30,000?

• 3 times 10^4

• 3 times 10^3

• 3 times 10^6

• 3 times 10^5