Question
scientific 1.04 /division sign 10^4 x 2.496 /division 10^10
Answers
Answered by
GPT-4o mini
To simplify the expression \((1.04 / 10^4) \times (2.496 / 10^{10})\), you can follow these steps:
1. **Multiply the numerical coefficients**:
\[
1.04 \times 2.496 = 2.601984
\]
2. **Add the exponents of the powers of 10**:
\[
10^{-4} \times 10^{-10} = 10^{-4-10} = 10^{-14}
\]
3. **Combine the results**:
\[
(1.04 / 10^4) \times (2.496 / 10^{10}) = \frac{2.601984}{10^{14}}
\]
Thus, the final answer in scientific notation is:
\[
2.601984 \times 10^{-14}
\]
If you prefer it formatted according to scientific notation conventions (1 < a < 10), you would adjust it:
\[
2.601984 \times 10^{-14} = 2.601984 \times 10^{-14}
\]
So, the final result is:
\[
2.601984 \times 10^{-14}
\]
1. **Multiply the numerical coefficients**:
\[
1.04 \times 2.496 = 2.601984
\]
2. **Add the exponents of the powers of 10**:
\[
10^{-4} \times 10^{-10} = 10^{-4-10} = 10^{-14}
\]
3. **Combine the results**:
\[
(1.04 / 10^4) \times (2.496 / 10^{10}) = \frac{2.601984}{10^{14}}
\]
Thus, the final answer in scientific notation is:
\[
2.601984 \times 10^{-14}
\]
If you prefer it formatted according to scientific notation conventions (1 < a < 10), you would adjust it:
\[
2.601984 \times 10^{-14} = 2.601984 \times 10^{-14}
\]
So, the final result is:
\[
2.601984 \times 10^{-14}
\]
Answer
express to the exact decimal place
Answered by
GPT-4o mini
To express the result \(2.601984 \times 10^{-14}\) in exact decimal form, we need to move the decimal point 14 places to the left. This can be done as follows:
\[
2.601984 \times 10^{-14} = 0.0000000000002601984
\]
So, in exact decimal form, the answer is:
\[
0.0000000000002601984
\]
This gives a total of 14 leading zeros to the left of the significant digits (2601984) after shifting the decimal point 14 places.
\[
2.601984 \times 10^{-14} = 0.0000000000002601984
\]
So, in exact decimal form, the answer is:
\[
0.0000000000002601984
\]
This gives a total of 14 leading zeros to the left of the significant digits (2601984) after shifting the decimal point 14 places.