Scientific Notation and Operations

The video tutorial covers a comprehensive review of scientific notation, including converting numbers to and from scientific notation, and performing arithmetic operations such as addition, subtraction, multiplication, and division. It also includes practical applications through word problems, demonstrating how scientific notation is used in real-world scenarios.

What is the standard form of 5.2 x 10^3?

• 52

• 520

• 52000

• 5200

If you have 9.65 x 10^-4, how should you move the decimal to convert it to standard form?

• Move 2 places to the right

• Move 2 places to the left

• Move 4 places to the left

• Move 4 places to the right

What is the standard form of 8.5 x 10^-2?

• 0.085

• 0.85

• 85

• 8.5

How do you express 78,000 in scientific notation?

• 0.78 x 10^5

• 7.8 x 10^3

• 78 x 10^3

• 7.8 x 10^4

When converting a number to scientific notation, what happens to the exponent if you move the decimal to the left?

• The exponent becomes negative

• The exponent stays the same

• The exponent increases

• The exponent decreases

What is the scientific notation for 250?

• 25 x 10^1

• 2.5 x 10^3

• 2.5 x 10^2

• 0.25 x 10^3

How do you add 2 x 10^5 and 3 x 10^3 in scientific notation?

• Add directly without changing exponents

• Subtract the exponents

• Change both to 10^3

• Change both to 10^5

What is the result of multiplying 2 x 10^-3 and 9 x 10^-3?

• 18 x 10^-6

• 18 x 10^-5

• 1.8 x 10^-5

• 1.8 x 10^-6

How do you divide 4 x 10^4 by 2 x 10^-4?

• Divide the exponents

• Subtract the exponents

• Add the exponents

• Multiply the exponents

A farmer cultivates 2.3 x 10^4 acres and leaves 5.3 x 10^3 acres untouched. How many acres does the farmer own in total?

• 3.83 x 10^4

• 5.3 x 10^3

• 2.3 x 10^4

• 2.83 x 10^4