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Evaluate the given expression. (−4)+(−12)÷(−6)
6
2
4
8
2
Perform division first by applying the rule that negative divided by negative is positive: (−12)÷(−6)=+2. Then add −4.
Expression: (-4) + (-12) ÷(−6)
Order of Operations (BODMAS / PEMDAS):Division before Addition
Perform division first by applying the rule that negative divided by negative is positive: (−12)÷(−6)=+2. Then add −4.
Adding −4 and −12 first before performing the division, violating the BODMAS/PEMDAS rule.
Identify the given expression
We are asked to evaluate the expression (−4)+(−12)÷(−6).
(−4)+(−12)÷(−6)
Apply BODMAS / PEMDAS rule
According to the order of operations, division must be performed before addition. First, divide (−12) by (−6).
(−12)÷(−6)=2
Perform the addition
Substitute the result of the division back into the expression: (−4)+2.
(−4)+2=−2
B is correct because evaluating (−4)+(−12)÷(−6) using the BODMAS rule gives (−4)+2=−2.
Always remember that division and multiplication take precedence over addition and subtraction in algebraic expressions.