Home -> Solved problems -> 6÷2(1+2) = ?

\(6\div2(1+2) = ?\)

Solution

At first, the expression contains a parenthetical expression which we must evaluate first

6÷2(1+2)=6÷2(3)

Now, we continue the order of operations

6÷2(1+2)=6÷2(3)

=6÷2×3

The expression 6÷2×3 contains only a division and a multiplication, these operators have an equal precedence. So, we evaluate the operators from left to right

6÷2×3=3×3=9

This is the correct answer : 6÷2(1+2)=9

Some historical justifications tell that the answer is 1, but today we interpret that differently.

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\(6\div2(1+2) = ?\)

Solution

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The Beauty of Mathematics : It Can Never Lie to You

Carl Friedrich Gauss

Leonhard Euler

Pythagoras

Nikola Tesla