What is -9/2 \times (-10)-18 ?

The solution to -9/2 \times (-10)-18 is 27

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-9/2 \times (-10)-18

- \frac{9}{2} \cdot (- 10) - 18

27

Solution steps

- \frac{9}{2} (- 10) - 18

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- \frac{9}{2} (- 10) : 45

- \frac{9}{2} (- 10)

Apply rule

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

- \frac{9}{2} (- 10) = \frac{9}{2} \cdot 10

Convert element to fraction:

10 = \frac{10}{1}

= \frac{9}{2} \cdot \frac{10}{1}

Apply the fraction rule:

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

= \frac{9 \cdot 10}{2 \cdot 1}

Cancel

\frac{9 \cdot 10}{2 \cdot 1} : 45

\frac{9 \cdot 10}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{9 \cdot 10}{2}

Divide the numbers:

\frac{10}{2} = 5

= 9 \cdot 5

Multiply the numbers:

9 \cdot 5 = 45

= 45

= 45

= 45 - 18

Add and subtract (left to right)

45 - 18 : 27

45 - 18

45 - 18 = 27

= 27

= 27

29 - (8 + 15) - 27

- 2 (3)^{2} - 5 (3)

2 \times 2 + 4 \div 2 + 3 - (1 \times 1) + 7

30 - 2 (5 + 7)

5 - [7 - 2 (1 - 9) - 3 + 12] + 4