Multiplying Numbers In Scientific Notation

Related Topics:
More Lessons for Arithmetic
Math Worksheets

How to multiply numbers in scientific notation?
Step 1 : Group the numbers together.

Step 2 : Multiply the numbers.

Step 3 : Use the law of indices to simplify the powers of 10.

Step 4 : Give the answer in scientific notation.

Example:

Evaluate 8 × 10³ × 9 × 10², giving your answer in scientific notation.

Solution:

Multiply Scientific Notation

Example:

Evaluate 12.3 × 0.03, giving your answer in scientific notation.

Solution:

Text Box: 12.3 × 0.03 = 1.23 × 10 × 3 × 10-2 (change to scientific notation) = (1.23 × 3) × 10 × 10-2 (group the numbers) = 3.69 × 10 × 10-2 (multiply the numbers) = 3.69 × 101-2 (law of indices: am × an = am+ n) = 3.69 × 10-1 (already in scientific notation)

Five problems showing how to multiply and divide expressions written in scientific notation.

More Scientific Notation Examples

Show Step-by-step Solutions

Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.