Question

How do you use \[x=4\], \[y=-5\] and \[z=-3\] to evaluate \[5xyz\]?

Answer 1

Hint: We are given the values of \[x\], \[y\] and \[z\]. And using the given values we have to solve the expression \[5xyz\]. We will substitute the values of given variables in the given expression and solve the expression further to find the value of the expression given. Hence, we have the value of the given expression.

Complete step-by-step answer:
According to the given question, we are given the values of the variables \[x\], \[y\] and \[z\]. And we are given an expression which we have to evaluate using the given values of the variables.
The expression we have is,
\[5xyz\]-----(1)
The values of the variables given to us are,
\[x=4\], \[y=-5\] and \[z=-3\]
Now, we will substitute the values of \[x\], \[y\] and \[z\] in the expression as given in the equation (1), we have,
\[\Rightarrow 5(4)(-5)(-3)\]-----(2)
Multiplying the terms 5 and 4 and the terms (-5) and (-3), we get,
\[\Rightarrow (20)(15)\]
When 5 is multiplied by 4 we get 20, and when (-5) is multiplied by (-3) we get 15. The negative sign gets cancelled as negative and negative gives positive.
Solving further, we have,
\[\Rightarrow 300\]
Therefore, the value of the given expression is 300.

Note: While substituting the values of the variables in the expression given to us, the numbers should be written correctly and the signs should also be correctly written. Further evaluation should be done step wise to prevent any errors.