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Filling in parenthesis (only) - Operator Search

Can we add parenthesis such that the expression is equal to 24?

$1 + 2 + 3 \times 4$

Yes No

by Brilliant Staff

$2 \div 2 \div 2 \div 2$

The above expression can be parenthesized in various ways. Which of the following gives the largest value?

2 \div (2 \div 2) \div 2

2 \div 2 \div (2 \div 2)

2 \div ((2 \div 2) \div 2 )

2 \div (2 \div (2 \div 2 ))

by Brilliant Staff

$9 - 7 \times 5 - 3$

The above expression can be parenthesized in various ways. Which of the following gives the smallest value?

(9 - 7) \times 5 - 3

9 -( 7 \times 5 - 3)

9 - 7 \times (5 - 3)

(9 - 7) \times (5 - 3 )

by Brilliant Staff

$3 \div 4 - 5 \times 6$

The above expression can be parenthesized in various ways. Which of the following gives an integer value?

3 \div (4 - 5) \times 6

3 \div( 4 - 5 \times 6)

3 \div 4 - (5 \times 6)

3 \div ((4 - 5) \times 6 )

by Brilliant Staff

Can we add parenthesis such that the expression is equal to 17?

$9 + 8 \times 7 - 6$

Yes No

by Brilliant Staff

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