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Add using scientific notation

(3.2 x 10^4) + (1.95 x 10^5)

To add the numbers in scientific notation, they need to have the same exponent.

  1. Convert \(3.2 \times 10^4\) to the same exponent as \(1.95 \times 10^5\): \[ 3.2 \times 10^4 = 0.32 \times 10^5 \]

  2. Now add the two values: \[ 0.32 \times 10^5 + 1.95 \times 10^5 = (0.32 + 1.95) \times 10^5 \]

  3. Perform the addition: \[ 0.32 + 1.95 = 2.27 \]

  4. Combine: \[ 2.27 \times 10^5 \]

Thus, the sum of \((3.2 \times 10^4) + (1.95 \times 10^5)\) is: \[ \boxed{2.27 \times 10^5} \]

What’s the answer

The result of adding \((3.2 \times 10^4) + (1.95 \times 10^5)\) is:

\[ \boxed{2.27 \times 10^5} \]

R u sure

Let's go through the calculation step-by-step again to ensure accuracy.

  1. Given:

    • \(3.2 \times 10^4\)
    • \(1.95 \times 10^5\)
  2. Convert \(3.2 \times 10^4\) to a power of \(10^5\): \[ 3.2 \times 10^4 = 0.32 \times 10^5 \]

  3. Now, we can add: \[ 0.32 \times 10^5 + 1.95 \times 10^5 = (0.32 + 1.95) \times 10^5 \] \[ 0.32 + 1.95 = 2.27 \]

  4. Therefore, we combine this to get: \[ 2.27 \times 10^5 \]

So, the final answer is indeed: \[ \boxed{2.27 \times 10^5} \]

I can confirm that the calculation is correct. If you have any further questions or need additional assistance, feel free to ask!