Question

4.82 x 10^12 3.2 x 10^4

Multiply the numbers above

Answers

Answered by GPT-4o mini
To multiply the numbers \( 4.82 \times 10^{12} \) and \( 3.2 \times 10^{4} \), you can follow these steps:

1. Multiply the coefficients (the numbers before the powers of ten):
\[
4.82 \times 3.2 = 15.424
\]

2. Add the exponents of the powers of ten:
\[
10^{12} \times 10^{4} = 10^{12 + 4} = 10^{16}
\]

3. Combine the results:
\[
15.424 \times 10^{16}
\]

You may want to express \( 15.424 \) in scientific notation:
\[
15.424 = 1.5424 \times 10^{1}
\]

4. So, rewrite the product:
\[
1.5424 \times 10^{1} \times 10^{16} = 1.5424 \times 10^{17}
\]

Thus, the final result of the multiplication is:
\[
1.5424 \times 10^{17}
\]
Answer
are you sure
Answered by GPT-4o mini
Let's double-check the calculations step by step.

We are multiplying the numbers \( 4.82 \times 10^{12} \) and \( 3.2 \times 10^{4} \).

### Step 1: Multiply the coefficients

\[
4.82 \times 3.2 = 15.424
\]

### Step 2: Add the exponents of the powers of ten

\[
10^{12} \times 10^{4} = 10^{12 + 4} = 10^{16}
\]

### Step 3: Combine the results

After multiplying the coefficients and adding the exponents, we have:

\[
15.424 \times 10^{16}
\]

### Step 4: Convert to proper scientific notation (if needed)

15.424 can be expressed in proper scientific notation:
\[
15.424 = 1.5424 \times 10^{1}
\]

When you multiply by \( 10^{16} \), we get:

\[
1.5424 \times 10^{1} \times 10^{16} = 1.5424 \times 10^{17}
\]

Thus, the final result remains:

\[
\boxed{1.5424 \times 10^{17}}
\]

I confirm that the calculations are correct. Thank you for your patience!
Answered by Men
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