The expression -1 × 2 × -3 × 4 × -5 has a negative value ⇒ C
Step-by-step explanation:
Let us revise the products of negative and positive
- (+) × (+) = (+)
- (-) × (-) = (+)
- (-) × (+) = (-)
- (+) × (-) = (-)
- The product of three (-) is (-) ⇒ -2 × -3 × -1 = -6 (-2 × -3 = 6 × -1 = -6)
- The product of four (-) is (+) ⇒ -2 × -3 × -1 × -4 = 24 (-2 × -3 = 6 × -1 = -6 × -4 = 24)
- If there are even negative signs, then the product will be positive
- If there are odd negative signs, then the product will be negative
A. -1 × -2
∵ There are two negative signs
∵ 2 is an even number
∴ -1 × -2 has a positive value
B. 1 × -2 × -3 × -4 × -5
∵ There are four negative signs (-2 , -3 , -4 , -5)
∵ 4 is an even number
∴ 1 × -2 × -3 × -4 × -5 has a positive value
C. -1 × 2 × -3 × 4 × -5
∵ There are three negative signs (-1 , -3 , -5)
∵ 3 is an odd number
∴ -1 × 2 × -3 × 4 × -5 has a negative value
D. 1 × -2 × 3 × -4 × 5
∵ There are two negative signs (-2 , -4)
∵ 2 is an even number
∴ 1 × -2 × 3 × -4 × 5 has a positive value
The expression -1 × 2 × -3 × 4 × -5 has a negative value
Learn more:
You can learn more about the directed numbers in brainly.com/question/10364988
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