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

Tags

CCSS.8.EE.A.3

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

Tags

CCSS.8.EE.A.3

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

• 12.34

• 12.2

• 0.012 × 10^3

• 12.3

Tags

CCSS.8.EE.A.3

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

• 6^8

• 6^9

• 6^20

• 6^24

Tags

CCSS.8.EE.A.1

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

• 3^18

• 3^20

• Cannot be determined

• They are equal

Tags

CCSS.6.EE.A.1

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

• 4^-3

• 1 / 4^3

• 4^3

• 1 / 4^5

Tags

CCSS.8.EE.A.1

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

• 1 / 4^4

• 4^-4

• 4^4

• 1 / 4^3

Tags

CCSS.8.EE.A.1

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

• 27x^6

• 54x^4

• 27x^4

• 54x^6

Tags

CCSS.HSA.APR.A.1

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

Tags

CCSS.8.EE.A.4

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

Tags

CCSS.8.EE.A.4