What will come in place of the question mark (?) in the following equation?
100 ÷ 10 – 7 + 2 × 6 = ?
Equation Solution: 100 ÷ 10 – 7 + 2 × 6 = ?
This question asks us to find the value represented by the question mark (?) in the given mathematical equation. To solve this correctly, we must follow the standard order of operations, often remembered by the acronym PEMDAS or BODMAS.
Understanding the Order of Operations (PEMDAS/BODMAS)
The order of operations dictates the sequence in which mathematical operations should be performed:
- Parentheses (or Brackets)
- Exponents (or Orders)
- Multiplication and Division (performed from left to right)
- Addition and Subtraction (performed from left to right)
Step-by-Step Calculation
Let's apply the order of operations to the equation: $100 ÷ 10 – 7 + 2 × 6$
- Division first (left to right): Perform the division operation. $ 100 \div 10 = 10 $ The equation now becomes: $10 – 7 + 2 × 6$
- Multiplication next (left to right): Perform the multiplication operation. $ 2 \times 6 = 12 $ The equation now becomes: $10 – 7 + 12$
- Subtraction next (left to right): Perform the subtraction operation. $ 10 - 7 = 3 $ The equation now becomes: $3 + 12$
- Addition last: Perform the final addition operation. $ 3 + 12 = 15 $
Therefore, the value that comes in place of the question mark (?) is 15.
Similar Questions
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If + means -, $\div$ means +, - means $\times$, and $\times$ means $\div$ then,
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Important Questions from Mathematical Operations
What will come in the place of ‘?’ in the following equation if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?
18 ÷ 9 + 24 × 3 − 16 = ?If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’, and ‘D’ stands for ‘−’, what will come in place of the question mark (?) in the following equation?
88 B 3 D 12 A 4 C 6 = ?Select the set in which the numbers are related in the same way as are the numbers of the given sets.
(NOTE: Operations should be performed on whole numbers without breaking down the numbers into their constituent digits. E.g., 13 – Operations on 13 such as adding/subtracting/multiplying, etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Given sets:
(9, 21, 193)
(12, 15, 184)What will come in the place of the question mark (?) in the following equation, if ‘÷’ and ‘+’ are interchanged and ‘−’ and ‘×’ are interchanged?
44 ÷ 78 + 6 − 3 × 19 = ?Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given sets?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
