Scientific Notation: Addition and Subtraction

TL;DR

Learn how to add and subtract numbers written in scientific notation, with a focus on ensuring the powers are the same.

Transcript

okay addition and subtraction with scientific notation as you'll probably remember each number that's written in scientific notation has two parts this which we can call the coefficient or the mantissa and this 10 raised to an exponent we can just call the power when we do addition and subtraction problems with scientific notation we hope so hard t... Read More

Key Insights

• ✊ Scientific notation consists of a coefficient (mantissa) and a power (exponent).
• ✊ In addition, the powers should be the same, and the coefficients are added.
• ❓ When subtracting, adjust the exponents to make them the same and then subtract the coefficients.
• 👈 It is important to write the final answer in correct scientific notation, with one digit to the left of the decimal point.
• 👈 Moving the decimal point to the right decreases the exponent, while moving it to the left increases the exponent.
• 🛝 Rounding rules for significant figures may apply in certain cases.
• 😥 Adjusting the exponents by moving the decimal point helps make addition and subtraction easier.

Questions & Answers

Q: How do you add numbers in scientific notation?

To add numbers in scientific notation, ensure that the powers are the same. Add the coefficients and keep the common power.

Q: What should you do if the powers are different?

If the powers are different, adjust one of the numbers by moving the decimal point, so the powers become the same. Then, proceed with addition or subtraction.

Q: How do you subtract numbers in scientific notation?

Subtracting numbers in scientific notation is similar to addition. Ensure the powers are the same, subtract the coefficients, and keep the common power.

Q: Why is it important to write the final answer in correct scientific notation?

The final answer should be written in correct scientific notation, which means having one digit to the left of the decimal point. This ensures the number is properly represented.

Summary & Key Takeaways

• Addition or subtraction problems with scientific notation are easier if the powers are the same.

• For addition, simply add the coefficients and keep the power unchanged.

• For subtraction, follow the same steps as addition, but subtract the coefficients instead.