To subtract numbers in scientific notation, you'll want to follow these steps:
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Ensure both numbers have the same exponent: If they don't, you need to adjust one of the numbers so that both have the same exponent.
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Subtract the coefficients: Once the exponents are the same, subtract the coefficients.
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Recombine your results: Write it back in scientific notation if necessary.
Example Problem
Let's say you have two numbers in scientific notation:
- \( 4.5 \times 10^3 \)
- \( 2.1 \times 10^3 \)
Step 1: Both numbers already have the same exponent (10^3).
Step 2: Subtract the coefficients: \[ (4.5 - 2.1) = 2.4 \]
Step 3: Write the result in scientific notation: \[ 2.4 \times 10^3 \]
Try a Different Example
Example: Subtract \( 5.6 \times 10^4 \) and \( 3.2 \times 10^3 \).
Step 1: Make the exponents the same. Convert \( 3.2 \times 10^3 \) to \( 0.32 \times 10^4 \): \[ 5.6 \times 10^4 - 0.32 \times 10^4 \]
Step 2: Subtract the coefficients: \[ (5.6 - 0.32) = 5.28 \]
Step 3: Write the result in scientific notation: \[ 5.28 \times 10^4 \]
If you have specific numbers you'd like to subtract, please provide them, and I'll be happy to assist!
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