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MATH / The expression 1+2+3−4+5+6is equivalent to 13. If we add parentheses in various locations, we can change this value. For example, 1+2+3−(4+5)+6=1+2+3−9+6=6−9+6=3. If we only add pa…

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problem

The expression 1+2+3−4+5+61 + 2 + 3 - 4 + 5 + 6is equivalent to 13. If we add parentheses in various locations, we can change this value. For example, 1+2+3−(4+5)+6=1+2+3−9+6=6−9+6=31+2+3-(4+5)+6=1+2+3-9+6=6-9+6=3. If we only add parentheses (and not rearrange the order of the terms), what is the minimum possible value this expression can obtain? (For the purposes of this problem, we cannot change addition or subtraction into multiplication. For example, (1+2+3)(−4)+5+6 (1+2+3)(-4)+5+6 is not a valid placement of parentheses.) Enter your answer as a single value.
Plain-text mathematical notation (without MathML)
The expression 1+2+3−4+5+6is equivalent to 13. If we add parentheses in various locations, we can change this value. For example, 1+2+3−(4+5)+6=1+2+3−9+6=6−9+6=3. If we only add parentheses (and not rearrange the order of the terms), what is the minimum possible value this expression can obtain? (For the purposes of this problem, we cannot change addition or subtraction into multiplication. For example, (1+2+3)(−4)+5+6 is not a valid placement of parentheses.)

Enter your answer as a single value.
Original LaTeX notation
The expression $$1 + 2 + 3 - 4 + 5 + 6$$is equivalent to 13. If we add parentheses in various locations, we can change this value. For example, $1+2+3-(4+5)+6=1+2+3-9+6=6-9+6=3$. If we only add parentheses (and not rearrange the order of the terms), what is the minimum possible value this expression can obtain? (For the purposes of this problem, we cannot change addition or subtraction into multiplication. For example, $ (1+2+3)(-4)+5+6 $ is not a valid placement of parentheses.)

Enter your answer as a single value.

level

Level 3

type

Prealgebra

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Source and history

task_id
b3fe9316-ce89-5682-a89b-c214de9a7848
task_key
prealgebra--test--b3fe9316-ce89-5682-a89b-c214de9a7848
task_revision_id
1
config / split
prealgebra / test

Official source

initial import