What will come in place of the question mark (?) in the following question? 12 + 12 × 10 ÷ 5 = ?2
6
Solving the Mathematical Expression: 12 + 12 × 10 ÷ 5 = ?²
This question requires us to find the value represented by the question mark (?) in the given mathematical equation. We need to follow the order of operations (often remembered by the acronym PEMDAS/BODMAS) to solve the expression correctly.
- Parentheses / Brackets
- Exponents / Orders
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
The given expression is:
12 + 12 × 10 ÷ 5 = ?²
Step-by-Step Calculation:
-
First, we handle the multiplication and division operations from left to right. The multiplication is
12 × 10.Calculation:
12 \times 10 = 120The expression now becomes:
12 + 120 ÷ 5 = ?² -
Next, we perform the division:
120 ÷ 5.Calculation:
120 \div 5 = 24The expression simplifies to:
12 + 24 = ?² -
Now, we perform the addition.
Calculation:
12 + 24 = 36So, the equation is now:
36 = ?² -
To find the value of ?, we need to find the square root of 36.
Calculation:
? = \sqrt{36}Result:
? = 6
Comparing with Options:
The calculated value for ? is 6. Let's compare this with the given options:
- Option 1: 6
- Option 2: 5
- Option 3: 10
- Option 4: 7
- Option 5: 8
Our calculated result matches Option 1.
Therefore, the value that comes in place of the question mark (?) is 6.
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Important Questions from Simplification
Simplify
6 × {28 ÷ 84 × {36 × 49 ÷ (6 × 7)}}.
Simplify.
- 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?
- \(\frac{6}{2}\times\frac{10}{2}\div\frac{6}{2}\times6^2+5\times4=?\)
- Find the value of 2.\(\overline {36} \) + 3.\(\overline {21} \) - 1.\(\overline {05} \)
