Questions: (3.48 × 10^3)(9.8 × 10^4)

(3.48 × 10^3)(9.8 × 10^4)
Transcript text: $\left(3.48 \times 10^{3}\right)\left(9.8 \times 10^{4}\right)$
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Solution

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To solve the given problem, we need to multiply two numbers in scientific notation. The general approach is to multiply the coefficients (3.48 and 9.8) and then add the exponents (3 and 4).

Paso 1: Multiplicación de los Coeficientes

Multiplicamos los coeficientes \(3.48\) y \(9.8\): \[ 3.48 \times 9.8 = 34.104 \]

Paso 2: Suma de los Exponentes

Sumamos los exponentes \(3\) y \(4\): \[ 3 + 4 = 7 \]

Paso 3: Resultado en Notación Científica

El resultado en notación científica se expresa como: \[ 34.104 \times 10^{7} \] Al convertir esto a forma decimal, obtenemos: \[ 34.104 \times 10^{7} = 341040000.0 \]

Respuesta Final

\(\boxed{341040000.0}\)

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