18 integers are multiplied together. What will be the sign of there product , if:
1. 15 of them are negative and 3 are positive?
2. 12 9f then are negative and 6 are positive?
3. 9 of them are positive and the remaining are negative?
4. all are negative?
pls ....explain in steps.
Answers
Answer:
1. If 15 integers are negative then product of 15 integers is negative because it is odd and the remaining are 3 positive numbers therefore there product will be positive and positive × negative is negative.
2. The ans would be positive because 12 are negative but the no. of integer is even therefore product will be even and the remaining are positive therefore positive×positive is positive.
3. same reason 9 are positive 9 are negative then no. of negative integers are odd therefore product will be negative hence negative × positive is always negative.
4. If all are negative then ans would be positive because no. of integers are even therefore there product will be positive.
Answer:
1) Negative
2) Positive
3) Negative
4) Positive
Step-by-step explanation:
1) Since, 15 numbers are negative and 15 is odd. If a negative integer is multiplied odd number of times product is always negative.
2) Since, 12 numbers are positive and 12 is even. If a negative number is multiplied even number of times product is always positive.
3) Since, 9 are positive and thus 9 will be negative because total no. of integers are 18. 9 is also and odd number. If a negative integer is multiplied odd number of times product is always negative.
4) Since, all 18 integers are odd and 18 is an even number. If a negative number is multiplied even number of times product is always positive.