What is 9-1/2 \times (-6) ?

The solution to 9-1/2 \times (-6) is 12

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9-1/2 \times (-6)

9 - \frac{1}{2} \cdot (- 6)

12

Solution steps

9 - \frac{1}{2} (- 6)

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{1}{2} (- 6) : - 3

\frac{1}{2} (- 6)

Apply rule

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

\frac{1}{2} (- 6) = - \frac{1}{2} \cdot 6

Convert element to fraction:

6 = \frac{6}{1}

= - \frac{1}{2} \cdot \frac{6}{1}

Apply the fraction rule:

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

\frac{1}{2} \cdot \frac{6}{1} = \frac{1 \cdot 6}{2 \cdot 1}

= - \frac{1 \cdot 6}{2 \cdot 1}

\frac{1 \cdot 6}{2 \cdot 1} = 3

\frac{1 \cdot 6}{2 \cdot 1}

\frac{1 \cdot 6}{2 \cdot 1} = \frac{6}{2}

\frac{1 \cdot 6}{2 \cdot 1}

Multiply the numbers:

1 \cdot 6 = 6

= \frac{6}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{6}{2}

= \frac{6}{2}

Divide the numbers:

\frac{6}{2} = 3

= 3

= - 3

= 9 - (- 3)

Add and subtract (left to right)

9 - (- 3) : 12

9 - (- 3)

Apply rule

- (- a) = + a

- (- 3) = + 3

= 9 + 3

9 + 3 = 12

= 12

= 12

(- 4)^{3} + (- 4)^{2} + 10

\frac{5}{9} (212 - 32)

(- 6)^{2} + 3 (- 6) - 6

- 2^{3} - 5

(78 + 5) + (38 + 4)