Reviewing Exponents and Scientific Notation Concepts

This video tutorial covers scientific notation and exponents. It begins with identifying numbers in scientific notation and converting them to standard form for comparison. The tutorial then shifts to exponents, explaining how to simplify expressions and solve for unknown exponents. It concludes with solving word problems using scientific notation, emphasizing the importance of understanding operations like division and subtraction in these contexts.

Which of the following is in scientific notation?

• 6.1 × 5^4

• 0.1 × 10^7

• 17.2 × 10^-3

• 3.1 × 10^-5

What is the correct scientific notation for 0.1 × 10^7?

• 0.1 × 10^6

• 10 × 10^5

• 0.01 × 10^8

• 1 × 10^6

Which of the following is the smallest number when converted to standard form?

• 12.34

• 12.2

• 0.012 × 10^3

• 12.3

What is the result of simplifying 6^4 raised to the 5th power?

• 6^8

• 6^9

• 6^20

• 6^24

Which is greater: 3^20 or 3^18?

• 3^18

• 3^20

• Cannot be determined

• They are equal

Simplify: (-4)^2 / (-4)^5

• 4^-3

• 1 / 4^3

• 4^3

• 1 / 4^5

What is the simplified form of 4^-3 / 4?

• 1 / 4^4

• 4^-4

• 4^4

• 1 / 4^3

Simplify: 3x^2 all raised to the 3rd power times 2x^-2

• 27x^6

• 54x^4

• 27x^4

• 54x^6

How many times larger is Tom's collection of marbles compared to Jerry's if Tom has 2.43 × 10^4 marbles and Jerry has 8.1 × 10^3 marbles?

• 5 times

• 4 times

• 3 times

• 2 times

If Tom's collection is 2.43 × 10^4 marbles and Jerry's is 8.1 × 10^3 marbles, how much greater is Tom's collection?

• 1.49 × 10^4

• 1.62 × 10^4

• 1.33 × 10^4

• 1.24 × 10^4