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Which two signs need to be interchanged to make the following equation correct?​9+3−15×5÷8=29+3-15×5÷8=29+3−15×5÷8=2​​​​
Question

Which two signs need to be interchanged to make the following equation correct?
9+315×5÷8=29+3-15×5÷8=2​​​​

A.

–, ÷

B.

+, –

C.

×, +

D.

×, ÷

Correct option is A

Given: ​9+315×5÷8=29+3-15×5÷8=2
Given equation is solve by BODMAS rule.
Operation preference wiseSymbolBrackets[],,()Orders, of(power),(root),ofDivision÷Multiplication×Addition+Subtraction\begin{array}{|c|c|} \hline\textbf{Operation preference wise} & \textbf{Symbol} \\\hline\text{Brackets} &[],{}, () \\ \hline \text{Orders, of} & (power), √ (root) , of \\ \hline \text{Division}& ÷ \\ \hline \text{Multiplication} & × \\ \hline \text{Addition} & + \\ \hline \text{Subtraction} & - \\\hline\end{array}
Now, we check each options.
Option (a): (- and ÷)
New equation: 9 + 3 ÷ 15 × 5 - 8 = 2
9 + 0.2 ×\times 5 - 8 = 2
9 + 1 - 8 = 2
10 - 8 = 2
2 = 2 
Option (b): (+ and -)
New equation: 9 - 3 + 15 × 5 ÷ 8 = 2
9 - 3 + 15 × 5 ÷ 8 ​\neq 2​
Option (c): (× and +)
New equation: 9 × 3 - 15 + 5 ÷ 8 = 2
9 × 3 - 15 + 5 ÷ 8 \neq​ 2
Option (d): (× and ÷)
New equation: 9 + 3 - 15 ÷ 5 × 8 = 2
9 + 3 - 3 ​×\times 8 = 2
9 + 3 - 24 = 2
12 - 24 = 2
- 12 \neq​ 2
Thus, the correct option is (a).

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