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Answer 1

Hey there! How can I assist you today?

Answer 2

Add and subtract in scientific notation

Answer 3

Sure! When working with numbers in scientific notation, it's important first to ensure that the numbers are expressed with the same exponent for addition or subtraction. Here’s a quick guide:

Adding Scientifically Noted Numbers

1. Align the Exponents: If the exponents are not the same, you need to adjust one of the numbers so that both have the same exponent.
2. Add the Coefficients: Once the exponents are the same, add the coefficients (the numbers in front).
3. Keep the Exponent: The exponent remains the same.

Example: \( 3.0 \times 10^3 + 2.5 \times 10^4 \)

1. Adjust \( 2.5 \times 10^4 \) to \( 25.0 \times 10^3 \) (by moving the decimal one place to the right).
2. Now add the coefficients:
   \( 3.0 + 25.0 = 28.0 \)
3. The result is:
   \( 28.0 \times 10^3 = 2.8 \times 10^4 \) (since you convert back to proper scientific notation).

Subtracting Scientifically Noted Numbers

The steps for subtraction are the same as for addition.

Example: \( 5.0 \times 10^5 - 2.0 \times 10^4 \)

1. Adjust \( 2.0 \times 10^4 \) to \( 0.20 \times 10^5 \).
2. Now subtract the coefficients:
   \( 5.0 - 0.20 = 4.8 \)
3. The result is:
   \( 4.8 \times 10^5 \)

If you have specific numbers you'd like to add or subtract, feel free to share!