Answer :
To evaluate the expression [tex]\(6(-3) - |-5| + |3|\)[/tex], let's break it down step by step:
1. Evaluate [tex]\(6(-3)\)[/tex]:
[tex]\[ 6 \times (-3) = -18 \][/tex]
2. Evaluate the absolute value [tex]\(-|-5|\)[/tex]:
[tex]\[ |-5| = 5 \][/tex]
3. Evaluate the absolute value [tex]\(|3|\)[/tex]:
[tex]\[ |3| = 3 \][/tex]
Now, substitute these evaluated parts back into the original expression:
[tex]\[ 6(-3) - |-5| + |3| \rightarrow -18 - 5 + 3 \][/tex]
Next, perform the subtraction and addition in order:
4. Subtract 5 from -18:
[tex]\[ -18 - 5 = -23 \][/tex]
5. Add 3 to -23:
[tex]\[ -23 + 3 = -20 \][/tex]
Therefore, the final result of the expression [tex]\(6(-3) - |-5| + |3|\)[/tex] is:
[tex]\[ \boxed{-20} \][/tex]
Thus, the correct answer is [tex]\(-20\)[/tex].
1. Evaluate [tex]\(6(-3)\)[/tex]:
[tex]\[ 6 \times (-3) = -18 \][/tex]
2. Evaluate the absolute value [tex]\(-|-5|\)[/tex]:
[tex]\[ |-5| = 5 \][/tex]
3. Evaluate the absolute value [tex]\(|3|\)[/tex]:
[tex]\[ |3| = 3 \][/tex]
Now, substitute these evaluated parts back into the original expression:
[tex]\[ 6(-3) - |-5| + |3| \rightarrow -18 - 5 + 3 \][/tex]
Next, perform the subtraction and addition in order:
4. Subtract 5 from -18:
[tex]\[ -18 - 5 = -23 \][/tex]
5. Add 3 to -23:
[tex]\[ -23 + 3 = -20 \][/tex]
Therefore, the final result of the expression [tex]\(6(-3) - |-5| + |3|\)[/tex] is:
[tex]\[ \boxed{-20} \][/tex]
Thus, the correct answer is [tex]\(-20\)[/tex].
