Question
\( 10000000000000000000\times 20000000000000000000 \)
Ask by Conner Kelley. in Mexico
Mar 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
El resultado de la multiplicación es \( 2 \times 10^{38} \).
Solution
1. Escribimos cada número en notación científica:
\[
10000000000000000000 = 10^{19}
\]
\[
20000000000000000000 = 2 \times 10^{19}
\]
2. Multiplicamos los dos números usando las propiedades de las potencias:
\[
10^{19} \times \left(2 \times 10^{19}\right) = 2 \times 10^{19+19} = 2 \times 10^{38}
\]
3. Por lo tanto, el resultado de la multiplicación es:
\[
2 \times 10^{38}
\]
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Simplify this solution Bonus Knowledge
Did you know that multiplying large numbers like \(10^{19} \times 2 \times 10^{19}\) can be simplified to making things much easier? You can rearrange that to \(2 \times 10^{38}\) which gives you a final answer of \(200000000000000000000000000000000000000\)! Now, think of things in terms of real-world context. This result, \(2 \times 10^{38}\), is larger than the number of atoms in the observable universe, which is estimated to be around \(10^{80}\). That's as massive as the imagination can go! Such enormous figures can be fascinating, especially when you consider how much they outscale even the largest numbers we deal with in everyday life.
