Question

8x10 power of 3 + 4x10 powere of 2 + 7x10 power of 1 + 1x10 powere of 0 + 7x1/10 power of 1 + 1x 1/10 powere of 2 + 6x 1/10 powere of 3

Answer 1

To evaluate the expression \(8 \times 10^3 + 4 \times 10^2 + 7 \times 10^1 + 1 \times 10^0 + 7 \times \frac{1}{10}^1 + 1 \times \frac{1}{10}^2 + 6 \times \frac{1}{10}^3\), we'll calculate each term step-by-step.

1. Calculate \(8 \times 10^3\):
\[
8 \times 10^3 = 8000
\]

2. Calculate \(4 \times 10^2\):
\[
4 \times 10^2 = 400
\]

3. Calculate \(7 \times 10^1\):
\[
7 \times 10^1 = 70
\]

4. Calculate \(1 \times 10^0\):
\[
1 \times 10^0 = 1
\]

5. Calculate \(7 \times \frac{1}{10}^1\):
\[
7 \times \frac{1}{10}^1 = 7 \times 0.1 = 0.7
\]

6. Calculate \(1 \times \frac{1}{10}^2\):
\[
1 \times \frac{1}{10}^2 = 1 \times 0.01 = 0.01
\]

7. Calculate \(6 \times \frac{1}{10}^3\):
\[
6 \times \frac{1}{10}^3 = 6 \times 0.001 = 0.006
\]

Now, we can add all the calculated values together:

\[
8000 + 400 + 70 + 1 + 0.7 + 0.01 + 0.006
\]

Calculating step-by-step:

- First, add the whole numbers:
\[
8000 + 400 + 70 + 1 = 8447
\]

- Now, add the decimal parts:
\[
8447 + 0.7 = 8447.7
\]

\[
8447.7 + 0.01 = 8447.71
\]

\[
8447.71 + 0.006 = 8447.716
\]

Thus, the final result is:

\[
\boxed{8447.716}
\]