Question

1.
Simplify the expression. Write the answer using scientific notation.
(6.2 x 1011



24.8 x 1022


2.48 x 1012


24.8 x 1011


1.02 x 1012

Answer 1

To simplify the provided expression and write the answer using scientific notation, let's first normalize each part of the expression.

The expression given is a list of values:
1. \(6.2 \times 10^{11}\)
2. \(24.8 \times 10^{22}\)
3. \(2.48 \times 10^{12}\)
4. \(24.8 \times 10^{11}\)
5. \(1.02 \times 10^{12}\)

Given the formatting, it seems there might be a missing operator between these values. Assuming we need to sum them, let's add them together.

Step-by-step, we'll simplify:

Step 1: Align the terms with the same exponent if possible:
- \(6.2 \times 10^{11}\) can be kept as is.
- \(24.8 \times 10^{11}\) can be kept as is.
- \(24.8 \times 10^{22}\) is much larger and does not change.
- \(2.48 \times 10^{12}\) and \(1.02 \times 10^{12}\) can be summed directly.

Step 2: Adding the numbers with the same power of 10 first,
For \(10^{11}\):
\[
6.2 \times 10^{11} + 24.8 \times 10^{11} = (6.2 + 24.8) \times 10^{11} = 31.0 \times 10^{11}
\]
We know that \(31.0 \times 10^{11} = 3.1 \times 10^{12}\)

For \(10^{12}\):
\[
2.48 \times 10^{12} + 1.02 \times 10^{12} = (2.48 + 1.02) \times 10^{12} = 3.5 \times 10^{12}
\]

For \(10^{22}\), it's standalone:
\(24.8 \times 10^{22}\)

Step 3: We are left with three terms now:
\[
3.1 \times 10^{12},\ 3.5 \times 10^{12},\ 24.8 \times 10^{22}
\]

Since the exponents are vastly different, the dominant term in scientific notation is \(24.8 \times 10^{22}\).

So the simplified expression, primarily influenced by the largest term, is:

\[ 24.8 \times 10^{22} \]

Therefore, the simplified answer using scientific notation would be:

\[ 24.8 \times 10^{22} \]