Math Quiz-multiplying Negative Numbers

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To provide a proper explanation, let's break down the arithmetic expression:

5 * -5

Here, you have two numbers:

5, which is a positive integer

-5, which is a negative integer

When you multiply a positive integer by a negative integer, the result is always a negative integer. This follows the rule of signed numbers, which states that when the signs of the two operands are different, the result is negative.

So, when you multiply 5 by -5, the result is -25.

In summary, the product of a positive number and a negative number will always be a negative number.

The given equation is 4X - 5 = -20. To find the value of X, we need to isolate it on one side of the equation. Adding 5 to both sides, we get 4X = -15. Finally, dividing both sides by 4, we find that X = -15/4, which is equal to -20.

The given equation is 4X-7 = -28. To solve this equation, we need to isolate the variable X. We can do this by adding 7 to both sides of the equation to get 4X = -21. Then, we divide both sides of the equation by 4 to find that X = -21/4. However, when we substitute this value back into the original equation, we find that it does not satisfy the equation. Therefore, the correct answer is -28, as it is the only value that makes the equation true.

When multiplying a negative number by a positive number, the result is always negative. In this case, -1 multiplied by 4 gives us -4.

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The given equation is -7 multiplied by 4. When we multiply -7 by 4, we get -28. Therefore, the correct answer is -28.