Final answer:
The expression with a negative value is A. -2 × 4 × -6 × 8 × -10, because an odd number of negative multipliers results in a negative product.
Step-by-step explanation:
The question asks which expression among the given options has a negative value. The value of an expression involving multiplication depends on the rules of signs. Remember that:
When two positive numbers multiply, the result is positive.
When two negative numbers multiply, the result is also positive.
When a positive number and a negative number multiply, the result is negative.
Let's examine each option:
-2 × 4 × -6 × 8 × -10: Here, we have three negative numbers, resulting in a negative sign since an odd number of negative multipliers yields a negative product.
-2 × -4: Two negatives multiplied together give a positive result.
2 × -4 × -6 × -8 × -10: There are four negative numbers, and since an even number of negative factors results in a positive product, this expression is positive.
2 × -4 × 6 × -8 × 10: With two negative numbers, the product is positive.
Therefore, the expression with a negative value is A. -2 × 4 × -6 × 8 × -10.