Scientific Notation and Linear Equations

This video tutorial covers 8th grade mathematics, focusing on powers of 10, scientific notation, and real-world applications. It explains how to express numbers as multiples of powers of 10, convert them into scientific notation, and apply these concepts to real-world quantities. The tutorial also includes calculating the volume of a sphere using Pi, solving linear equations, and graphing a line using slope and coordinates.

What is the name of the number represented by 0.001?

• 1 thousandth

• 1 millionth

• 1 billionth

• 1 hundredth

How would you express 92,000 as a multiple of a power of 10?

• 9.2 * 10^5

• 92 * 10^5

• 9.2 * 10^4

• 92 * 10^3

Which of the following is the correct scientific notation for 32 billion?

• 3.2 * 10^10

• 32 * 10^9

• 3.2 * 10^9

• 32 * 10^10

How would you rewrite 37 trillion using scientific notation?

• 37 * 10^13

• 3.7 * 10^13

• 37 * 10^12

• 3.7 * 10^12

What is the scientific notation for 23 millionths?

• 2.3 * 10^-5

• 23 * 10^-6

• 23 * 10^-5

• 2.3 * 10^-6

What is the formula for the volume of a sphere?

• V = 2/3 π r^3

• V = 4 π r^2

• V = π r^2

• V = 4/3 π r^3

If a basketball is halfway inflated, what is the radius used for calculating its volume?

• 24 cm

• 6 cm

• 12 cm

• 3 cm

In the equation 6 - 4C = 30, what is the value of C?

• 6

• -6

• -4

• 4

What is the slope of the line passing through the point (-6, 1)?

• 3/2

• -2/3

• 2/3

• -3/2

What is the equation of a line with a slope of -2/3 passing through the point (-6, 1)?

• y = -2/3x - 1

• y = -2/3x + 1

• y = -2/3x + 4

• y = -2/3x - 4