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Question

Evaluate: (-9) - (-56) ÷ (-14) + (-4) × 9

The correct answer is
-49

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.

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Important Questions from Bodmas Rule

  1. Solve: {7.88 × 2 + 2.4 × 5 - 242.4 ÷ 4 + [9.2 × 4 - 2.46 of 3 + (36.3 ÷ 3 - 1.42 × 2)]} 

  2. What will come in the place of question mark (?) in the given expression?

    (420 ÷ 12 × 35 + 452- 152) = ?2

  3. What will come in place of the question mark ‘?’ in the following question?

    (44 of 15) – [(450 × 240 ÷ 60 – 40) ÷ 80 × 25 + 50] – 10 = ?
  4. Simplify: 92 - 18 ( 9 + 36 ÷ 3 × 12 - 27 × 3) + 51

  5. Simplify the following expression.

    \(\rm \frac{3}{5}\ of\ \left\{\left(48\div\overline{36\div9}\times\frac{1}{6}\right)+\frac{1}{3}\right\}=?\)

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