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When the both sides of 2p=8 are divided by -2, the equation remains__?

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Final answer:

When both sides of the equation 2p = 8 are divided by -2, the equation remains unchanged and becomes -p = -4.

Step-by-step explanation:

When both sides of the equation 2p = 8 are divided by -2, the equation remains unchanged. Dividing by -2 is the same as multiplying by -1/2, so we can rewrite the equation as -1/2 * 2p = -1/2 * 8. Simplifying further, we get -p = -4.

When the both sides of the equation 2p = 8 are divided by -2, the equation becomes p = -4. Division by a negative number will change the sign of the result.

It's important to understand that multiplication and division by the same non-zero number on both sides of an equation keeps the equation balanced. If we apply this understanding to the given equation, dividing both sides by -2 results in p = -4.

This follows the rule that when a number is divided by another number, it follows multiplication rules for the sign - in this case, a positive number divided by a negative number gives a negative result.

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