Question

Find the following product:
\[3 \times ( - 1)\]

Answer 1

Hint: Here we are given in the above question to do the product of integers. Here we are given two integers, one of them is a positive integer and the other is a negative integer. We know that the product of a positive integer and negative integer is a negative integer. Using this, we can solve the given question.

Complete step-by-step solution:
In the given question we are required to do the product of two integers. The first integer is a positive integer \[3\] and the other integer is a negative integer\[ - 1\]. We know that the product of a positive integer and negative integer is a negative integer, using this we will get our result as negative. We just have to multiply both the numbers and put a negative sign to the obtained answer. So,
\[3 \times ( - 1) = - 3\]
So, \[ - 3\] is the product of the given problem \[3 \times ( - 1)\]. Hence \[ - 3\] is the answer.

Note: Here in this question we learned how signs of the product are kept when we multiply a positive integer and a negative integer. In the same way when we multiply a positive integer and a positive integer we keep a positive sign in the answer, when we multiply a negative integer and a negative integer we keep a positive sign in the answer. Thus when integers of different signs are multiplied to each other, signs of the product are negative and when the product of the same sign is done we have to keep positive sign in the answer.