Exponents and Scientific Notation Concepts

Mr. Ward presents a series of video tutorials focusing on exponential questions from the 2019 eighth-grade math test. The video covers scientific notation, order of operations with exponents, and the laws of exponents. It includes practical examples, such as converting scientific notation to standard notation and solving problems involving the speed of light. The video concludes with a reminder about available resources like reference sheets and answer keys.

What is the standard notation of 8.25 x 10^5?

• 825

• 82,500

• 825,000

• 8,250

When converting from scientific to standard notation, what does a positive exponent indicate?

• Add zeros to the left

• Move the decimal to the right

• Subtract zeros from the right

• Move the decimal to the left

In the expression 5 x (2^3)^2, what is the value of the exponent when simplified?

• 2^5

• 2^8

• 2^6

• 2^9

What is the result of 5 x 64?

• 300

• 340

• 360

• 320

How many times faster is the speed of light compared to the speed of sound, given their scientific notations?

• 10,000 times

• 100 times

• 1,000,000 times

• 100,000 times

What is the result of dividing 3 x 10^8 by 3 x 10^2?

• 10^8

• 10^2

• 10^4

• 10^6

What is the simplified form of 3^(-2) x 3^3?

• 3^5

• 3^0

• 3^6

• 3^1

If you have b^n divided by b^m, what is the resulting exponent?

• b^(n-m)

• b^(m-n)

• b^(n*m)

• b^(n+m)

What is the value of 3^(1 - (-1))?

• 3^0

• 3^3

• 3^1

• 3^2

What does the 'CR' stand for in the test answer key?

• Constructed Response

• Chosen Response

• Calculated Response

• Correct Response