1. What will be the sign of the product if we multiply together. a) a negative integers and 3 positive integers. b) (-1), fifteen times. c)(-1), twenty times. d) (1),2 m times, where mis natural number.
Share
1. What will be the sign of the product if we multiply together. a) a negative integers and 3 positive integers. b) (-1), fifteen times. c)(-1), twenty times. d) (1),2 m times, where mis natural number.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
We know,
If the number of negative integers in a product is even, then the product is a positive integer and if the number of negative integers in a product is odd, then the product is a negative integer
And, any number of positive integers will always give a positive integer.
So, the sign of the product will be decided by the number of negative integers.
(a) 8 negative integers and 3 positive integers: Even number of negative integers, hence product is positive.
(b) 5 negative integers and 4 positive integers: Odd number of negative integers, hence product is negative.
(c) (–1), twelve times: Even number of negative integers, hence product is positive.
(d) (–1), 2m times, m is a natural number: Even number of negative integers, hence product is positive.
Answer:
1a) -
b) -
c) +
d) +
Step-by-step explanation:
a) a negative integer and 3 positive integers: odd number of negative integers, hence product is negative.
b) (-1), 15 times: Odd number of negative integers, hence product is negative.
c) (–1), 20 times: Even number of negative integers, hence product is positive.
d) 1, 2m times, m is a natural number: Even number of negative integers, hence product is positive.