Scientific Notation and Exponents

The video tutorial covers scientific notation, explaining how to convert small and large numbers into this form. It delves into understanding exponents, both positive and negative, and their applications in fractions. The tutorial also compares numbers in scientific notation using division and multiplication. It explains how to multiply and divide numbers with the same base and exponents. The video further explores solving multi-step equations, identifying equations with no solution or infinite solutions, and understanding proportional linear relationships through graphing.

What is the scientific notation of 0.0082?

• 8.2 x 10^-3

• 8.2 x 10^-4

• 8.2 x 10^3

• 8.2 x 10^4

How many place values do you move the decimal to convert 1,200,000 into scientific notation?

• 4

• 5

• 6

• 7

What is the result of converting 4^-3 into a fraction with a positive exponent?

• 1/64

• 1/16

• 1/4

• 1/8

If 8 x 10^4 is divided by 2 x 10^3, how many times larger is the first number?

• 20

• 30

• 40

• 50

What is the scientific notation of the product of 9 x 10^-6 and 4 x 10^-3?

• 3.6 x 10^-11

• 3.6 x 10^-8

• 3.6 x 10^-9

• 3.6 x 10^-10

What is the result of dividing 4^6 by 4^-3?

• 4^-9

• 4^3

• 4^-3

• 4^9

In the equation 2x - 6 = 5 + 2x, what is the solution?

• x = 1

• x = 0

• Infinite solutions

• No solution

What is the y-intercept of the equation y = 2/3x?

• 3

• 2

• 1

• 0