Order of Operations, Including Negative Numbers

The order

Multiplication doesn't always come before division. They share one step, and so do addition and subtraction.

Multiply first: $8 - 6 + 4$

Left to right: $2 + 4 = 6$

Left to right: $5 \times 5 = 25$

$- 3^{2} = - (3^{2}) = - 9$ , because the exponent applies only to the 3.

$(- 3)^{2} = (- 3) (- 3) = 9$ , because the parentheses include the negative.

$20 \div 4 \times 5 = 20 \div 20 = 1$

This multiplies first because the M comes before the D in PEMDAS. Work left to right instead, and you get 25.

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