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9 xx 9 div 3 + 9 xx 123 = ? - 19 - 23...

`9 xx 9 div 3 + 9 xx 123 = ? - 19 - 23`

A

1176

B

1174

C

1177

D

1175

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \( 9 \times 9 \div 3 + 9 \times 123 = ? - 19 - 23 \), we will follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). ### Step-by-step Solution: 1. **Identify the operations**: The expression consists of multiplication, division, addition, and subtraction. 2. **Perform the division first**: \[ 9 \div 3 = 3 \] So, we rewrite the expression: \[ 9 \times 3 + 9 \times 123 = ? - 19 - 23 \] **Hint**: Always perform division before multiplication when they appear together. 3. **Perform the multiplication**: \[ 9 \times 3 = 27 \] \[ 9 \times 123 = 1107 \] Now, substitute these values back into the expression: \[ 27 + 1107 = ? - 19 - 23 \] **Hint**: Multiply the numbers after performing any division. 4. **Add the results**: \[ 27 + 1107 = 1134 \] Now, the equation looks like: \[ 1134 = ? - 19 - 23 \] **Hint**: Combine like terms before isolating the variable. 5. **Combine the constants on the right side**: \[ -19 - 23 = -42 \] So, we rewrite the equation: \[ 1134 = ? - 42 \] **Hint**: Always simplify the right side by combining constants. 6. **Isolate the variable \( ? \)**: To find \( ? \), add 42 to both sides: \[ ? = 1134 + 42 \] \[ ? = 1176 \] **Hint**: To isolate the variable, perform the inverse operation. ### Final Answer: The value of \( ? \) is \( 1176 \).
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ADDA247-NUMBER SYSTEM, SIMPLIFICATION AND APPROXIMATION -PRELIMS QUESTIONS (LEVEL - 2)
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