Scientific Notation and Multiplication

Multiplying Numbers in Scientific Notation

Scientific notation is a way to express very large or very small numbers using powers of ten. When multiplying numbers in scientific notation, you multiply the coefficients and add the exponents of the powers of ten.

• Step 1: Multiply the coefficients (the numbers in front).

• Step 2: Add the exponents of the powers of ten.

• Step 3: Write the result in proper scientific notation (a number between 1 and 10 multiplied by a power of ten).

Example:

Multiply and .

• Multiply the coefficients:

• Add the exponents:

• Combine:

• Express in proper scientific notation:

• Final answer:

Final Answer: