Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation. 11 * 3 * 11 * 2 * 9 = 10
Understanding the Task: Balancing the Equation
This problem requires us to find the correct sequence of mathematical signs to substitute for the asterisks (*) in the equation 11 * 3 * 11 * 2 * 9 = 10. The goal is to make the equation mathematically correct.
To solve this, we need to test the combinations of signs provided in the options. We must follow the standard mathematical order of operations (PEMDAS/BODMAS) to evaluate the expression correctly. This order is:
- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
We'll use standard symbols for operations: multiplication (×), division (÷), addition (+), and subtraction (-). LaTeX formatting will be used for clarity in mathematical expressions.
Evaluating Operator Combinations
We will now examine each option to see which combination of signs correctly balances the equation 11 * 3 * 11 * 2 * 9 = 10.
| Option | Signs Sequence | Resulting Expression | Evaluation Steps |
|---|---|---|---|
| 1 | ×, ÷, -, + | 11 × 3 ÷ 11 × 2 - 9 |
Applying the order of operations (Multiplication and Division from left to right, then Addition and Subtraction):
|
| 2 | ÷, ×, -, + | 11 ÷ 3 × 11 - 2 + 9 |
Applying the order of operations:
|
| 3 | ÷, +, -, × | 11 ÷ 3 + 11 - 2 × 9 |
Applying the order of operations:
|
| 4 | ×, ÷, +, - | 11 × 3 ÷ 11 + 2 - 9 |
Applying the order of operations:
|
Identifying the Correct Sign Combination
By carefully applying the order of operations to each option, we can determine the result of substituting each sign sequence. Comparing the results with the target value (10), we can identify the correct combination. Based on the provided answer choices, the sequence ×, ÷, -, + is indicated as the correct combination for the equation.
Similar Questions
Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusion/s logically follow/s from the given statements.
Statements:
All beaches are sand.
Some deserts are sand.
All mountains are rocky.
Conclusions:
(I) At least some beaches are desert.
(II) At least some sands are rocky.
Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
256 * 4 * 9 * 3 * 14 = 51
Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
86 * 54 * 34 * 68 * 2 * 33
Which two signs should be interchanged to make the given equation correct?
60 × 4 + 9 ÷ 3 - 8 = 34
If '+' means 'division', '-' means 'multiplication', '÷' means 'addition' and '× ' means 'subtraction', then what is the value of the following expression?
14 - 4 ÷ 133 + 7 × 17
Which two signs should be interchanged to make the given equation correct?
625 ÷ 25 + 7 × 318 - 112 = 381
Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
5 * 23 * 24 * 4 * 10 * 111
Which of the following interchanges of signs would make the given equation correct?
100 + 100 × 50 - 2 ÷ 3 = 51
Which of the following interchange of numbers and signs would make the given equation correct?
24 × 9 + 6 ÷ 24 - 18 = 22
Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
11 * 13 * 238 * 17 * 34 = 123
Important Questions from Logical Puzzle
If ‘A’ denotes ‘addition’, ‘B’ denotes ‘subtraction’, ‘C’ denotes ‘multiplication’ and ‘D’ denotes ‘division’, then what will be the value of the following expression?
6 C (57 B 8) D 7 B 32 A 9
If, 5 + 7 = 47, 3 + 8 = 35, 9 + 2 = 29 then 7 + 4 = ?
Which two signs need to be interchanged to make the following equation correct?
63 ÷ 21 – 7 + 28 × 3 = 144
If ‘–’ stands for ‘÷’, ‘+’ stands for ‘×’, ‘÷’ stands for ‘–’ and ‘×’ stands for ‘+’, then 80 – 20 + 10 ÷ 8 × 10 is equal to:
Which two signs need to be interchanged to make the given equation correct?
3 ÷ 2 - 4 × 5 + 5 = 1
