To evaluate the expression $(-9) - (-56) \div (-14) + (-3) \times 6$, we follow the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Evaluate Expression Using Order of Operations
The expression is: $(-9) - (-56) \div (-14) + (-3) \times 6$
Apply Division and Multiplication
First, perform the division and multiplication operations as they appear from left to right.
- Division: $(-56) \div (-14) = 4$
- Multiplication: $(-3) \times 6 = -18$
Substitute these results back into the expression:
$(-9) - 4 + (-18)$
Perform Subtraction and Addition
Now, perform subtraction and addition from left to right.
- Subtraction: $(-9) - 4 = -13$
- Addition: $(-13) + (-18) = -13 - 18 = -31$
Therefore, the final evaluated value of the expression is $-31$.
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) ÷ (-14) + (-4) × 8
- 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?
$12*108*6=8*4*2$
