Mathematical Concepts and Calculations

The video tutorial covers four math problems. The first problem involves calculating the fraction of values represented by digits in the number 2,010. The second problem focuses on determining which expressions involving a positive integer P result in a positive integer. The third problem estimates a company's monthly earnings based on annual earnings, highlighting estimation techniques. The final problem calculates the mean distance from Neptune to the sun in astronomical units using scientific notation.

In the number 2,010, what fraction does the digit 1 represent of the digit 2?

• 1/20

• 1/200

• 1/2

• 1/10

If P is a positive integer, which of the following expressions is always a positive integer?

• 1/P

• P²

• 1 - P

• √P

A company earned $3.85 million last year. What is the approximate average monthly earning?

• $3,000

• $3,000,000

• $300,000

• $30,000

How much was the estimate of the company's monthly earnings off by?

• A factor of 2

• A factor of 5

• A factor of 10

• A factor of 20

Which of the following is a correct way to express 3.85 million in thousands?

• 38,500K

• 3,850K

• 385K

• 3,850,000K

What is the mean distance from Neptune to the sun in astronomical units?

• 10 AU

• 40 AU

• 20 AU

• 30 AU

What is the scientific notation for 93 million?

• 9.3 x 10⁸

• 9.3 x 10⁷

• 9.3 x 10⁹

• 9.3 x 10⁶

What is the approximate value of 2.794 divided by 9.3?

• 2

• 1

• 3

• 4

What is the result of dividing 10⁸ by 10⁷?

• 10

• 1

• 1000

• 100

What is the approximate value of 27.94 divided by 9.3?

• 2

• 4

• 5

• 3