Evaluate Arithmetic Expression: Order of Operations
To evaluate the given expression, 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).
The expression is: $ (-9) - (-56) \div (-14) + (-4) \times 9 $
Step 1: Multiplication and Division
First, perform the multiplication and division operations as they appear from left to right.
- Division: $ (-56) \div (-14) = 4 $.
- Multiplication: $ (-4) \times 9 = -36 $.
Step 2: Substitute and Simplify
Substitute the results back into the expression:
$ (-9) - (4) + (-36) $
Step 3: Addition and Subtraction
Now, perform the subtraction and addition from left to right.
- Subtraction: $ (-9) - 4 = -13 $.
- Addition: $ -13 + (-36) = -13 - 36 = -49 $.
Therefore, the value of the expression is -49.
Important Questions from Bodmas Rule
The value of 90 ÷ 20 of 6 × [11 ÷ 4 of {3 × 2 - (3 - 8)}] ÷ (9 ÷ 3 × 2) is:
The value of 1800 ÷ 20 × {(12 - 6) + (24 - 12)} is:
The value of 20 ÷ 5 of 8 × [9 ÷ 6 × (6 - 3)] - (10 ÷ 2 of 20) is:
The value of \(\left( {18 \div 2\;of\frac{1}{4}} \right)\; \times \;\left( {\frac{2}{3} \div \frac{3}{4}\; \times \;\frac{5}{8}} \right) \div \left( {\frac{2}{3} \div \frac{3}{4}of\frac{3}{4}} \right)\) is:
The value of 18 ÷ [26 - {25 - (15 - 5) ÷ 2}] of 12 + 2 - 2 ÷ 4 × 16 is:
