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Notación científica: operaciones

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Notación científica: operaciones

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Notas claras sobre notación científica y operaciones

Created by

Carlos Alberto Llontop brenis
Carlos Alberto Llontop brenis
Peru

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Notación científica: operaciones
 

Notación científica: operacionesOnline version

Notas claras sobre notación científica y operaciones

by Carlos Alberto Llontop brenis
1

Introducción

La notación científica facilita trabajar con números muy grandes o muy pequeños. Es útil en física, química y astronomía, entre otras áreas.

2

¿Qué es?

La notación científica expresa un número como m × 10^n, donde 1 ≤ m < 10 y n es entero. Así se simplifican cálculos y lectura.

3

Forma estándar

Un número se escribe como m entre 1 y 9,999, acompañado de 10^n. Por ejemplo, 6.5 × 10^4 = 65000.

4

Conversión de decimales

Para convertir, mueve la coma decimal n lugares. Si n es positivo, amplía; si es negativo, reduce. Mantén el m entre 1 y 10.

5

Suma y resta

Para sumar o restar, iguala las potencias de diez. Luego se suman o restan los m y se mantiene la potencia correspondiente.

6

Multiplicación

Se multiplican los m y se suman las potencias de diez: (m1 × m2) × 10^(n1+n2).

7

División

Dividir implica dividir los m y restar las potencias: (m1 ÷ m2) × 10^(n1−n2), cuidando que m siga entre 1 y 10.

8

Redondeo y precisión

La notación científica permite redondear con precisión deseada. Indica el n para saber qué dígitos conservar.

9

Aplicaciones

Se usa en mediciones, astronomía, microbiología y resolución de ecuaciones físicas. Ayuda a comparar magnitudes muy distintas de forma clara.

10

Ejercicio final

Expresa 0.0047 en notación científica y realiza una suma: 3.2 × 10^5 + 4.7 × 10^−3. Explica cada paso con claridad.
 
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