What is 1/2 (-27)+2 ?

The solution to 1/2 (-27)+2 is -23/2

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1/2 (-27)+2

\frac{1}{2} (- 27) + 2

- \frac{23}{2}

Solution steps

\frac{1}{2} (- 27) + 2

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{1}{2} (- 27) : - \frac{27}{2}

\frac{1}{2} (- 27)

Apply rule

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

\frac{1}{2} (- 27) = - \frac{1}{2} \cdot 27

Convert element to fraction:

27 = \frac{27}{1}

= - \frac{1}{2} \cdot \frac{27}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

\frac{1}{2} \cdot \frac{27}{1} = \frac{1 \cdot 27}{2 \cdot 1}

= - \frac{1 \cdot 27}{2 \cdot 1}

Multiply the numbers:

1 \cdot 27 = 27

= - \frac{27}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= - \frac{27}{2}

= - \frac{27}{2} + 2

Add and subtract (left to right)

- \frac{27}{2} + 2 : - \frac{23}{2}

- \frac{27}{2} + 2

- \frac{27}{2} + 2 = - \frac{23}{2}

- \frac{27}{2} + 2

Convert element to fraction:

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

= \frac{2 \cdot 2}{2} - \frac{27}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{2 \cdot 2 - 27}{2}

2 \cdot 2 - 27 = - 23

2 \cdot 2 - 27

Multiply the numbers:

2 \cdot 2 = 4

= 4 - 27

Subtract the numbers:

4 - 27 = - 23

= - 23

= \frac{- 23}{2}

Apply the fraction rule:

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

= - \frac{23}{2}

= - \frac{23}{2}

= - \frac{23}{2}

9 \times (8 - 1)

15 \div 2 + 7

4 - {- 3 + 4 - (- 3 - 4)}

(- 2)^{4} - 2 (- 2)^{2} - 8

1^{3} + 3