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Question

Simplify. $9 + (45 \div 9) - 8 \times (-4)$

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
46

Simplify Mathematical Expression

To simplify the expression $9 + (45 \div 9) - 8 \times (-4)$, 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).

Order of Operations Steps

  1. Parentheses/Division: First, calculate the division inside the parentheses.

    $45 \div 9 = 5$

    The expression becomes: $9 + 5 - 8 \times (-4)$.
  2. Multiplication: Next, perform the multiplication.

    $8 \times (-4) = -32$

    The expression is now: $9 + 5 - (-32)$.
  3. Subtraction/Addition: Simplify the subtraction of a negative number and perform addition from left to right.

    $9 + 5 - (-32) = 9 + 5 + 32$

    $9 + 5 = 14$ $14 + 32 = 46$

The simplified value of the expression is 46.

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Important Questions from Simplification

  1. Simplify

    6 × {28 ÷ 84 × {36 × 49 ÷ (6 × 7)}}.

  2. Simplify.

  3. A bag contains ₹5, 2 and 1 coins in the ratio of 3 : 4 : 5. The total value of all the coins is ₹2,100. How many coins of ₹5 are there in the bag?
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