Question

Find each of the following products:
\[3 \times 4 \times \left( { - 5} \right)\]

Answer 1

Hint: To solve this question first we assume a variable named \[x\] equal to the given expression. Then we have to find the value of \[x\]. In order to find the value of \[x\] we have to multiply all the terms. So, first, we multiply the first two terms that are outside of the bracket after that we multiply that answer with the bracket answer and decide the sign of the final answer that is according to the multiplication of signs.

Complete step-by-step solution:
Let \[x = 3 \times 4 \times \left( { - 5} \right)\]
So for further solving we are multiplying two numbers which are outside the bracket
On multiplying 3 by 4 we get 12
And if a positive number is multiplied by a positive number then the sign of the answer is also positive.
\[x = 12 \times \left( { - 5} \right)\]
Now, on further solving 12 is multiplied by \[ - 5\]
On multiplying 12 by 5 we get 60
If a negative number is multiplied by a positive number then the answer is negative.
\[x = - 60\]

The product of the following expression \[ x = - 60\]

Note: Conditions for deciding the sign of the final answer of the multiplication.
$\bullet$ If we multiply a positive number with a positive number then our answer is also a positive number.
$\bullet$ If we multiply a positive number with the negative number then our answer is a negative number.
$\bullet$ If we multiply a negative number with a positive number then our answer is a negative number.
$\bullet$ If we multiply a negative number with a negative number then our answer is a positive number.
Students who commit mistakes in deciding the sign of the final answer took all these points to decide the sign of the answer.