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Answer:

A magnitude 8 earthquake is 1,000 times more intense than a magnitude 5 earthquake.

A magnitude 8 earthquake is 108 times more intense than a standard earthquake, while a magnitude 5 earthquake is 105 times more intense than a standard earthquake, and

108 ÷ 105 = 103.

Each unit increase on the Richter scale corresponds to an intensity increase by a factor of 10. So from 5 to 8 on the Richter scale, the intensity increases by 103 = 1,000

Step-by-step explanation:

The intensity of the earthquake that measures 8 is 1000 times than an earthquake that measures 5

The intensity from earthquake A to B

The intensities of the earthquakes are calculated using:

[tex]I = 10^b[/tex]

When the earthquake measures 8, the intensity is:

[tex]I_1 = 10^8[/tex]

When the earthquake measures 5, the intensity is:

[tex]I_2 = 10^5[/tex]

The number of times the intensity of the earthquake that measures 8 than an earthquake that measures 5 is:

[tex]n = \frac{10^8}{10^5}[/tex]

This gives

[tex]n = 10^3[/tex]

Evaluate

[tex]n =1000[/tex]

Hence, the intensity of the earthquake that measures 8 is 1000 times than an earthquake that measures 5

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