Question

HINT: When adding or Subtracting Scientific notation, you MUST have the Same base, then add the Coefficients and keep the power of 10 the same. (1 point) Responses 13 x 108 13 x 108 1.3 x 10−7 1.3 x 10negative 7 13 x 10−16

Answer 1

To add or subtract numbers in scientific notation, you need to ensure that the powers of 10 are the same. However, in your prompt, it seems you want to confirm an operation involving different scientific notations.

Here are the provided options reformatted:

- \( 13 \times 10^8 \)
- \( 1.3 \times 10^{-7} \)
- \( 1.3 \times 10^{-7} \) (duplicate)
- \( 13 \times 10^{-16} \)

Let’s analyze these options:

1. **Align the powers of 10:** Let's first understand that \( 13 \times 10^8 \) can be converted to the same base as the others by changing it to \( 1.3 \times 10^{9} \).

2. **Irrelevant powers:** The other options \( 1.3 \times 10^{-7} \) and \( 13 \times 10^{-16} \) are in completely different scales.

In general, to add or subtract scientific notations with differing powers, you would convert everything to the same power, perform the addition or subtraction, and then convert it back to scientific notation if necessary.

So, is there a specific operation you want to perform, or are you seeking to clarify how to handle one of these numbers?