Question

8.03 x 10-8 ÷ 2.56 x 104
i need the exact answer

Answer 1

would it be a repeating fraction

Answer 2

i need exact not approximate

Answer 3

can you write it in this layout
4/4=0

Answer 4

thanks omini

Answer 5

To divide \( 8.03 \times 10^{-8} \) by \( 2.56 \times 10^{4} \), you can use the rules of dividing numbers in scientific notation:

1. Divide the coefficients.
2. Subtract the exponents.

Let's do the calculation step by step:

1. **Divide the coefficients:**
\[
\frac{8.03}{2.56} \approx 3.13515625
\]

2. **Subtract the exponents:**
\[
-8 - 4 = -12
\]

Now, combine the results:
\[
3.13515625 \times 10^{-12}
\]

For simplicity, you can round the coefficient to a reasonable number of significant figures. If we round to three significant figures, we have:
\[
3.14 \times 10^{-12}
\]

Thus, the exact answer in scientific notation is approximately:
\[
3.13515625 \times 10^{-12}
\]

If you require rounding for significant figures, it would be:
\[
3.14 \times 10^{-12}
\]

Answer 6

The division of \( 8.03 \) by \( 2.56 \) yields a non-repeating decimal for practical purposes in scientific notation, which we calculated as approximately \( 3.13515625 \).

To clarify further, \( 3.13515625 \) is not a repeating decimal. It is a finite decimal number.

If you were to express this decimal as a fraction, it would also be a finite fraction and not a repeating one.

Thus, the result of the division \( 8.03 \times 10^{-8} \div 2.56 \times 10^{4} \) is best represented in scientific notation as \( 3.14 \times 10^{-12} \) (rounded to three significant figures), and the division does not yield a repeating fraction.

Answer 7

To find the exact result of the division \( \frac{8.03 \times 10^{-8}}{2.56 \times 10^{4}} \) without rounding, let's proceed step by step.

### Step 1: Divide the coefficients

Calculate the division of the coefficients:

\[
\frac{8.03}{2.56}
\]

To perform the division:

\[
8.03 \div 2.56 = 3.13515625
\]

### Step 2: Subtract the exponents

Now subtract the exponents:

\[
-8 - 4 = -12
\]

### Final Result

Combine the results:

\[
\frac{8.03 \times 10^{-8}}{2.56 \times 10^{4}} = 3.13515625 \times 10^{-12}
\]

### Conclusion

The exact result of the division is:

\[
3.13515625 \times 10^{-12}
\]

This is the exact answer in scientific notation.

Answer 8

Certainly! Here’s the layout you're looking for:

\[
\frac{8.03 \times 10^{-8}}{2.56 \times 10^{4}} = 3.13515625 \times 10^{-12}
\]

In this format, it clearly shows the division and the resulting value.

Answer 9

You're welcome! If you have any more questions or need further assistance, feel free to ask. Happy studying!