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Multiplying Scientific Notation Calculator.

Multiply two numbers written as coefficient × 10 to an integer power.

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Set your values

Results update as you type.

02 / ANSWER

First coefficient

First exponent

Second coefficient

Second exponent

coefficient

0.000000

exponent

0.000000

value

0.000000

Results update automatically as you type.

Use Cases

Science and Engineering Calculations

Quickly multiply very large or very small numbers, such as in physics, chemistry, or engineering, without manual exponent arithmetic.

Example: Calculate (1.5 × 10^8) × (2.0 × 10^-3) for a physics problem.

Quick Math Homework Check

Verify your answers when multiplying numbers in scientific notation for math assignments or exam prep.

Example: Check (4.0 × 10^5) × (3.0 × 10^2) = 1.2 × 10^8.

Frequently Asked Questions

How do I multiply numbers in scientific notation?: Multiply the coefficients together and add the exponents. For example, (2.0 × 10^3) × (3.0 × 10^2) = (2.0 × 3.0) × 10^(3+2) = 6.0 × 10^5. This calculator does that for you.
What if the product's coefficient is not between 1 and 10?: The calculator adjusts the result to proper scientific notation. For instance, if you get 12.0 × 10^4, it converts to 1.2 × 10^5. The calculator handles this automatically.
Can I use negative exponents?: Yes, you can enter negative exponents. The calculator adds them correctly, so multiplying by a negative exponent effectively divides by that power of ten.

Tips & Common Mistakes

Tips

Enter coefficients as decimals (e.g., 2.5) and exponents as integers (e.g., 3).
Double-check that your coefficients are between 1 and 10 for proper scientific notation input.
Use negative exponents for numbers less than 1, like 10^-4.
After getting the result, verify by multiplying the original numbers manually if needed.

Common Mistakes to Avoid

Forgetting to add the exponents when multiplying; they are added, not multiplied.
Entering the exponent as a decimal when it should be an integer (e.g., 2.5 instead of 2 or 3).
Not adjusting the final coefficient to be between 1 and 10; the calculator does this, but you should understand the process.

Last updated: August 13, 2026

Use Cases

Science and Engineering Calculations

Quickly multiply very large or very small numbers, such as in physics, chemistry, or engineering, without manual exponent arithmetic.

Example: Calculate (1.5 × 10^8) × (2.0 × 10^-3) for a physics problem.

Quick Math Homework Check

Verify your answers when multiplying numbers in scientific notation for math assignments or exam prep.

Example: Check (4.0 × 10^5) × (3.0 × 10^2) = 1.2 × 10^8.

Frequently Asked Questions

How do I multiply numbers in scientific notation?

Multiply the coefficients together and add the exponents. For example, (2.0 × 10^3) × (3.0 × 10^2) = (2.0 × 3.0) × 10^(3+2) = 6.0 × 10^5. This calculator does that for you.

What if the product's coefficient is not between 1 and 10?

The calculator adjusts the result to proper scientific notation. For instance, if you get 12.0 × 10^4, it converts to 1.2 × 10^5. The calculator handles this automatically.

Can I use negative exponents?

Yes, you can enter negative exponents. The calculator adds them correctly, so multiplying by a negative exponent effectively divides by that power of ten.

Tips & Common Mistakes

Tips

Enter coefficients as decimals (e.g., 2.5) and exponents as integers (e.g., 3).
Double-check that your coefficients are between 1 and 10 for proper scientific notation input.
Use negative exponents for numbers less than 1, like 10^-4.
After getting the result, verify by multiplying the original numbers manually if needed.

Common Mistakes to Avoid

Forgetting to add the exponents when multiplying; they are added, not multiplied.
Entering the exponent as a decimal when it should be an integer (e.g., 2.5 instead of 2 or 3).
Not adjusting the final coefficient to be between 1 and 10; the calculator does this, but you should understand the process.

Use Cases

Science and Engineering Calculations

Quickly multiply very large or very small numbers, such as in physics, chemistry, or engineering, without manual exponent arithmetic.

Example: Calculate (1.5 × 10^8) × (2.0 × 10^-3) for a physics problem.

Quick Math Homework Check

Verify your answers when multiplying numbers in scientific notation for math assignments or exam prep.

Example: Check (4.0 × 10^5) × (3.0 × 10^2) = 1.2 × 10^8.

Frequently Asked Questions

How do I multiply numbers in scientific notation?

Multiply the coefficients together and add the exponents. For example, (2.0 × 10^3) × (3.0 × 10^2) = (2.0 × 3.0) × 10^(3+2) = 6.0 × 10^5. This calculator does that for you.

What if the product's coefficient is not between 1 and 10?

The calculator adjusts the result to proper scientific notation. For instance, if you get 12.0 × 10^4, it converts to 1.2 × 10^5. The calculator handles this automatically.

Can I use negative exponents?

Yes, you can enter negative exponents. The calculator adds them correctly, so multiplying by a negative exponent effectively divides by that power of ten.

Tips & Common Mistakes

Tips

Enter coefficients as decimals (e.g., 2.5) and exponents as integers (e.g., 3).
Double-check that your coefficients are between 1 and 10 for proper scientific notation input.
Use negative exponents for numbers less than 1, like 10^-4.
After getting the result, verify by multiplying the original numbers manually if needed.

Common Mistakes to Avoid

Forgetting to add the exponents when multiplying; they are added, not multiplied.
Entering the exponent as a decimal when it should be an integer (e.g., 2.5 instead of 2 or 3).
Not adjusting the final coefficient to be between 1 and 10; the calculator does this, but you should understand the process.