(-1)×(-1)×(-1)×___10 times is equal to
Answers
Answer:
Step-by-step explanation:
Because,
negative × negative × negative = negative
or
cube of negative number is always negative.
Answer:
(-1) × (-1) × (-1) × 10 times is equal to (1).
Step-by-step explanation:
Explanation:
Given in the question,
(-1) × (-1) × (-1) × 10 times
- Positive Integers have values higher than zero. Integers with negative values are less than zero. Zero has no positive or bad aspects.
- Product of a positive integer and a negative integer is negative.
- Product of a positive integer and a positive integer is positive.
- Product of two negative integers is negative.
And we also know that the only thing that alters when we multiply a number by (-1) is its sign. In other words, if the number was positive, it now has a negative value. Additionally, if the initial value was negative, it turns positive.
Step 1:
From the question we have,
(-1)×(-1)×(-1)×(-1)×(-1)×(-1)×(-1)×(-1)×(-1)×(-1)
⇒ (-1)×(-1)×(-1)×(-1)×(-1)×(-1)×(-1)×(-1)× (1) [where '-' ×'-' = +]
⇒ (-1)×(-1)×(-1)×(-1)×(-1)×(-1)×(-1)×(-1) [where '-' ×'+' = -]
⇒ (-1)×(-1)×(-1)×(-1)×(-1)×(-1)×(1)
⇒ (-1)×(-1)×(-1)×(-1)×(-1)×(-1)
⇒ (-1)×(-1)×(-1)×(-1)×(1)
⇒ (-1)×(-1)×(-1)×(-1)
⇒ (-1)×(-1)×(1)
⇒(-1)×(-1) = 1
Final answer:
Hence, (-1) × (-1) × (-1) × 10 times is equal to (1).
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