Question
Evaluate: (-9) - (-56) ÷ (-14) + (-4) × 8
The correct answer is
-45
Expression Evaluation using Order of Operations
The expression to evaluate is: $(-9) - (-56) \div (-14) + (-4) \times 8$. We follow the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
Step 1: Perform Division and Multiplication
- Division: $(-56) \div (-14) = 4$. A negative number divided by a negative number results in a positive number.
- Multiplication: $(-4) \times 8 = -32$. A negative number multiplied by a positive number results in a negative number.
Substituting these results back into the expression, we get: $(-9) - 4 + (-32)$.
Step 2: Perform Subtraction and Addition (Left to Right)
- Subtraction: $(-9) - 4 = -13$. Subtracting 4 is the same as adding -4.
- Addition: $-13 + (-32) = -13 - 32 = -45$. Adding -32 is the same as subtracting 32.
The final evaluated value of the expression is $-45$.
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Important Questions from Bodmas Rule
The value of $2^{2}+ \sqrt{ 10^{2} } -9 \sqrt{16} -17$ is
The value of 67 − 9 × [ 4 + 3 × { 16 − 8 ( 6 − 5 ) × 2} ÷ 32] is:
- Evaluate: $(-9) - (-56) \div (-14) + (-3) \times 6$
- Select the appropriate set of sequence of mathematical operators to replace all * sign in the following equation and hence to balance it.
$70*6*11*4$ - Which of the following set of signs should be used to replace * in the following?
$12*108*6=8*4*2$
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