The solution to 1/2-4^2 is -31/2

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1/2-4^2

Solution

\frac{1}{2} - 4^{2}

- \frac{31}{2}

Solution steps

\frac{1}{2} - 4^{2}

Follow the PEMDAS order of operations

Calculate exponents

4^{2} : 16

4^{2}

4^{2} = 16

= 16

= \frac{1}{2} - 16

Add and subtract (left to right)

\frac{1}{2} - 16 : - \frac{31}{2}

\frac{1}{2} - 16

\frac{1}{2} - 16 = - \frac{31}{2}

\frac{1}{2} - 16

Convert element to fraction:

16 = \frac{16 \cdot 2}{2}

= - \frac{16 \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{- 16 \cdot 2 + 1}{2}

- 16 \cdot 2 + 1 = - 31

- 16 \cdot 2 + 1

Multiply the numbers:

16 \cdot 2 = 32

= - 32 + 1

Add/Subtract the numbers:

- 32 + 1 = - 31

= - 31

= \frac{- 31}{2}

Apply the fraction rule:

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

= - \frac{31}{2}

= - \frac{31}{2}

= - \frac{31}{2}

9 9^{2} - 1

25 - 2 \times 7

2 (4)^{2} - 4

- \frac{1}{2} (2) + 3

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