College

The temperature of Earth's core is about [tex]$1.08 \times 10^4$[/tex] degrees Fahrenheit, and the temperature of the core of Mars is about [tex]$2.24 \times 10^3$[/tex] degrees Fahrenheit.

What is the difference in the temperature of Earth's core and the core of Mars?

A. [tex]$1.304 \times 10^4$[/tex] degrees Fahrenheit
B. [tex]$3.32 \times 10^4$[/tex] degrees Fahrenheit
C. [tex]$8.56 \times 10^3$[/tex] degrees Fahrenheit
D. [tex]$1.16 \times 10^3$[/tex] degrees Fahrenheit

Answer :

To find the difference in temperature between Earth's core and Mars' core, follow these steps:

1. Identify the temperatures of both cores:
- Earth's core temperature: [tex]\(1.08 \times 10^4\)[/tex] degrees Fahrenheit.
- Mars' core temperature: [tex]\(2.24 \times 10^3\)[/tex] degrees Fahrenheit.

2. Calculate the difference in their temperatures:
- Subtract Mars' core temperature from Earth's core temperature:
[tex]\[
(1.08 \times 10^4) - (2.24 \times 10^3)
\][/tex]

3. Perform the subtraction operation:
- Convert [tex]\(1.08 \times 10^4\)[/tex] to 10,800 degrees Fahrenheit.
- Convert [tex]\(2.24 \times 10^3\)[/tex] to 2,240 degrees Fahrenheit.
- Subtract the two values:
[tex]\[
10,800 - 2,240 = 8,560
\][/tex]

4. Write the result in scientific notation:
- The result [tex]\(8,560\)[/tex] can be expressed as [tex]\(8.56 \times 10^3\)[/tex].

So, the difference in temperature between Earth's core and Mars' core is [tex]\(8.56 \times 10^3\)[/tex] degrees Fahrenheit.