What is 5-1/2 (5)^2 ?

The solution to 5-1/2 (5)^2 is -15/2

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5-1/2 (5)^2

5 - \frac{1}{2} (5)^{2}

- \frac{15}{2}

Solution steps

5 - \frac{1}{2} (5)^{2}

Follow the PEMDAS order of operations

Calculate exponents

(5)^{2} : 25

(5)^{2}

(5)^{2} = 25

= 25

= 5 - \frac{1}{2} \cdot 25

Multiply and divide (left to right)

\frac{1}{2} \cdot 25 : \frac{25}{2}

\frac{1}{2} \cdot 25

Convert element to fraction:

25 = \frac{25}{1}

= \frac{1}{2} \cdot \frac{25}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 25}{2 \cdot 1}

Multiply the numbers:

1 \cdot 25 = 25

= \frac{25}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{25}{2}

= 5 - \frac{25}{2}

Add and subtract (left to right)

5 - \frac{25}{2} : - \frac{15}{2}

5 - \frac{25}{2}

5 - \frac{25}{2} = - \frac{15}{2}

5 - \frac{25}{2}

Convert element to fraction:

5 = \frac{5 \cdot 2}{2}

= \frac{5 \cdot 2}{2} - \frac{25}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{5 \cdot 2 - 25}{2}

5 \cdot 2 - 25 = - 15

5 \cdot 2 - 25

Multiply the numbers:

5 \cdot 2 = 10

= 10 - 25

Subtract the numbers:

10 - 25 = - 15

= - 15

= \frac{- 15}{2}

Apply the fraction rule:

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

= - \frac{15}{2}

= - \frac{15}{2}

= - \frac{15}{2}

2 \times (- 5) - 1

\frac{1}{2} \times 3 + 1

(8 + \frac{1}{3} \times 64) - (6 + 9)

17 - 2^{2} + 8

(2 \div 3) + (1 \div 3)