Question

2x10^-4+6.8 x 10 ^-2
please show me simple way to use it

Answer 1

To add the numbers \(2 \times 10^{-4}\) and \(6.8 \times 10^{-2}\), we need to express both numbers with the same exponent.

Here’s a step-by-step approach:

1. **Convert to the same exponent:**
To make calculations easier, we can convert \(6.8 \times 10^{-2}\) into a form with the same exponent as \(2 \times 10^{-4}\).

\(6.8 \times 10^{-2}\) is the same as \(6.8 \times 10^{-2} = 68 \times 10^{-3} = 680 \times 10^{-4}\).

2. **Now add the two numbers:**
\[
2 \times 10^{-4} + 680 \times 10^{-4} = (2 + 680) \times 10^{-4} = 682 \times 10^{-4}
\]

3. **Express in standard form:**
\[
682 \times 10^{-4} = 6.82 \times 10^{-2} \quad (\text{since } 682 \times 10^{-4} = 0.00682)
\]

So, the final result is:
\[
6.82 \times 10^{-2}
\]