
The product of each positive integer with -1 is always—
A) Positive
B) Negative
D) 0
D) None of these
Answer
554.7k+ views
Hint: When we multiply any two-positive number, we have always products as a positive integer only. Similarly, whenever we are multiplying any positive and negative integer, we have the product as a negative integer respectively.
Complete step-by-step answer:
We are asked to find the product of each positive integer with -1. An integer is a number that does not include any fraction. It’s the whole number but it includes negative numbers also. So here we have -1 which has a negative sign it means it is usually a negative integer. Hence whenever we multiply any negative integer with any positive integer, we have a negative integer as a product whereas whenever we multiply any positive integer with any other positive integer, we have a positive integer as a product. On the other hand, whenever we multiply any negative integer with any other negative integer, we have a positive integer as a result of the multiplication.
Let’s represent it in a tabular form
So here we have -1 which is a negative integer hence while multiplying any positive integer with this negative integer we will always have a negative integer as a product.
So, the product of each positive integer with -1 is always $ negative $ . Hence answer is option ‘B’ from the above options
So, the correct answer is “Option B”.
Note: So whenever we multiply any number with a negative number the product will always be negative so by looking at the option we can directly choose the option having a negative sign and hence we should not multiply those numbers.
Complete step-by-step answer:
We are asked to find the product of each positive integer with -1. An integer is a number that does not include any fraction. It’s the whole number but it includes negative numbers also. So here we have -1 which has a negative sign it means it is usually a negative integer. Hence whenever we multiply any negative integer with any positive integer, we have a negative integer as a product whereas whenever we multiply any positive integer with any other positive integer, we have a positive integer as a product. On the other hand, whenever we multiply any negative integer with any other negative integer, we have a positive integer as a result of the multiplication.
Let’s represent it in a tabular form
| integer | integer | Product of both the integer |
| positive | positive | positive |
| positive | negative | negative |
| negative | negative | positive |
So here we have -1 which is a negative integer hence while multiplying any positive integer with this negative integer we will always have a negative integer as a product.
So, the product of each positive integer with -1 is always $ negative $ . Hence answer is option ‘B’ from the above options
So, the correct answer is “Option B”.
Note: So whenever we multiply any number with a negative number the product will always be negative so by looking at the option we can directly choose the option having a negative sign and hence we should not multiply those numbers.
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