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4. Add one set of parentheses to make the expression equal
2022. Verify your work with the order of operations.
12 · 12 12 + 12 · 12 + 12 12 + 12 + 12 + 12 + 12 = 12

4 Add One Set Of Parentheses To Make The Expression Equal 2022 Verify Your Work With The Order Of Operations 12 12 12 12 12 12 12 12 12 12 12 12 class=

Sagot :

The expression that is equal to 2022 by adding a set of parentheses is 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12).

How to solve a long-expression problem?

In mathematics, parentheses are used to group a set of mathematical terms. In  a long-expression, like the one presented, using parenthesis implies:

  • The terms in the parentheses are solved separately from those outside the parentheses.
  • The terms in the parentheses are solved before solving those outside.
  • Moving the parentheses will affect the result of the whole expression.

Based on this, the expression that equals 2022 is:

  • 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12)

Let's solve it to prove this result

  • 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12)

First, solve the parenthesis first by dividing and then by adding.

  • 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (1 + 1)12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / 2

Now, let's solve this expression, the first step is to solve the multiplications.

  • 1728 + 144 + 144 + 12/2

Now, solve the division.

  • 1728 + 144 + 144 + 6

Finally, add everything.

  • 1728 + 144 + 144 + 6 = 2022

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