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4.82 x 10^12 3.2 x 10^4

Multiply the numbers above

4 answers

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: \[ 15.424 = 1.5424 \times 10^{1} \]

  1. 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: \[ 1.5424 \times 10^{17} \]

are you sure

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!

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