Answer :

Sure! Let's solve the problem step-by-step:

We need to find the result of the expression:
[tex]\[ -820 + (-500) \][/tex]

### Step 1: Understand the Operation
When we add a negative number to another negative number, we can think of it as adding their absolute values together and keeping the result negative.

### Step 2: Find the Absolute Values
The absolute values of the numbers are:
[tex]\[ |-820| = 820 \][/tex]
[tex]\[ |-500| = 500 \][/tex]

### Step 3: Add the Absolute Values
Add these absolute values together:
[tex]\[ 820 + 500 = 1320 \][/tex]

### Step 4: Apply the Negative Sign
Since both original numbers were negative, the result will also be negative:
[tex]\[ -820 + (-500) = -1320 \][/tex]

So, the final answer is:
[tex]\[ \boxed{-1320} \][/tex]

This value does not match any of the given answer choices, so it looks like there might have been a mistake in setting those options. The correct value is [tex]\(-1320\)[/tex].

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Rewritten by : Barada