2
Question
Evaluate: 32−[43−(51−(20−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯18−7))]
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Solution
To evaluate an expression , we must first simplify the expression below the vinculum, then inside the small bracket , then inside the curly bracket , and finally inside the square bracket using the DMAS rule,
Thus, 32−[43−(51−(20−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯18−7))]=32−[43−(51−20−11))]
[Removing vinculum]
=32−[43−(51−9)]
[Removing small bracket]
=32−[43−42]
[Removing curly bracket]
=32−1
[Removing square bracket]
=31
∴ The value of 32−[43−(51−(20−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯18−7))] is 31.
Thus, 32−[43−(51−(20−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯18−7))]=32−[43−(51−20−11))]
[Removing vinculum]
=32−[43−(51−9)]
[Removing small bracket]
=32−[43−42]
[Removing curly bracket]
=32−1
[Removing square bracket]
=31
∴ The value of 32−[43−(51−(20−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯18−7))] is 31.
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