How do you simplify $2 \cdot - 1^{3} - 3 \cdot - 1 \cdot 2$ $2-1^3 - 3 -1 * 2$ ?

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Answer 1 · 2015-06-17T21:54:44

$2 \cdot - 1^{3} - 3 \cdot - 1 \cdot 2$ $2*-1^3-3*-1*2$

$2 \cdot - 1^{3} - 3 \cdot - 1 \cdot 2$ $2*-1^3-3*-1*2$

First put parentheses around negative number constants to avoid confusion of their minus signs with subtraction signs.

Then use PEMDAS to provide operator precedence rules:

Parentheses
Exponents
Multiplication & Division
Addition & Subtraction

When precedence is otherwise equal, work left to right.

$2 \cdot {(- 1)}^{3} - 3 \cdot (- 1) \cdot 2$ $2*(-1)^3-3*(-1)*2$

$2 \cdot {(- 1)}^{3} - 3 \cdot (- 1) \cdot 2$ $2*color(red)((-1)^3)-3*(-1)*2$

$= 2 \cdot (- 1) - 3 \cdot (- 1) \cdot 2$ $= color(red)(2*(-1))-3*(-1)*2$

$= (- 2) - 3 \cdot (- 1) \cdot 2$ $= (-2)-color(red)(3*(-1))*2$

$= (- 2) - (- 3) \cdot 2$ $= (-2)-color(red)((-3)*2)$

$= (- 2) - (- 6)$ $= color(red)((-2)-(-6))$

$= 4$ $= 4$

How do you simplify 2⋅−13−3⋅−1⋅22*-1^3 - 3* -1 * 2 ?