✏️ Multiplying Numbers Expressed in Scientific Notation – Practice Worksheet

Overview:
Make scientific notation simple and engaging with this easy-to-follow, print-ready worksheet that helps students master multiplication of numbers written in scientific notation.
This resource breaks down the rule step by step, gives a worked example, and then provides a full page of practice problems that gradually increase in difficulty.

Students will gain confidence multiplying both large and small numbers while learning how to correctly rewrite answers in proper scientific notation.

✨ What’s Included

• Step-by-step instructions:
  Clear explanation of the rule for multiplying numbers in scientific notation:
  

1. Multiply the numbers (coefficients).
   
2. Add the exponents of 10.
   
3. Rewrite the answer so the mantissa (first number) is between 1 and 10.
   

• Example problem with complete solution to model the process.
  
• 16 diverse practice problems that include:
  
  • Positive exponents (large numbers)
    
  • Negative exponents (small numbers)
    
  • Mixed exponent combinations
    
  • Both simple and multi-step problems
    

• Structured workspace for students to show their work.
  
• Name, date, and period header for classroom organization.
  

🧠 Skills Covered

✔ Multiplying numbers in scientific notation
✔ Applying exponent addition rules
✔ Converting results back into proper scientific notation
✔ Understanding the relationship between powers of ten and place value

👩‍🏫 Perfect For

• Grades 7–10 (Middle School or Algebra 1)
  
• Classroom practice, homework, or test prep
  
• Review for standardized testing
  
• ELL and visual learners—step-by-step layout promotes understanding
  
• Can also be used for small group tutoring or substitute lesson plans
  

💡 Teaching Tips

• Start by reviewing how to multiply powers of ten before introducing this sheet.
  
• Use the example as a mini-lesson on the board before assigning independent practice.
  
• Combine this with “Adding and Subtracting Numbers in Scientific Notation” and “Writing Small/Large Numbers in Scientific Notation” to create a complete bundle for your scientific notation unit.
  

📎 File Details

• Format: PDF (1 page)
  
• Ready to print and use immediately
  
• Clean, black-and-white format for classroom-friendly printing