What is -1/2 (-1)-1 ?

The solution to -1/2 (-1)-1 is -1/2

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-1/2 (-1)-1

- \frac{1}{2} (- 1) - 1

- \frac{1}{2}

Solution steps

- \frac{1}{2} (- 1) - 1

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- \frac{1}{2} (- 1) : \frac{1}{2}

- \frac{1}{2} (- 1)

Apply rule

- a \cdot (- b) = a \cdot b

- \frac{1}{2} (- 1) = \frac{1}{2} \cdot 1 = \frac{1}{2}

= \frac{1}{2}

= \frac{1}{2} - 1

Add and subtract (left to right)

\frac{1}{2} - 1 : - \frac{1}{2}

\frac{1}{2} - 1

\frac{1}{2} - 1 = - \frac{1}{2}

\frac{1}{2} - 1

Convert element to fraction:

1 = \frac{1 \cdot 2}{2}

= - \frac{1 \cdot 2}{2} + \frac{1}{2}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{- 1 \cdot 2 + 1}{2}

- 1 \cdot 2 + 1 = - 1

- 1 \cdot 2 + 1

Multiply the numbers:

1 \cdot 2 = 2

= - 2 + 1

Add/Subtract the numbers:

- 2 + 1 = - 1

= - 1

= \frac{- 1}{2}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{1}{2}

= - \frac{1}{2}

= - \frac{1}{2}

5 - 2 \times 4^{2} \div 8

(- 2)^{2} - 3 (- 2) - 10

4 - (3 - 5)

- 2 - 4 - 1

9^{2} \div 9 + 6^{2} \div 3 - 2^{3} \div 2