What is -5(2)+(-5)(1/16) ?

The solution to -5(2)+(-5)(1/16) is -165/16

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-5(2)+(-5)(1/16)

- 5 (2) + (- 5) (\frac{1}{16})

- \frac{165}{16}

Solution steps

- 5 (2) + (- 5) (\frac{1}{16})

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- 5 (2) : - 10

- 5 (2)

Apply rule:

(a) = a

(2) = 2

= - 5 \cdot 2

Multiply the numbers:

- 5 \cdot 2 = - 10

= - 10

= - 10 + (- 5) (\frac{1}{16})

Multiply and divide (left to right)

(- 5) (\frac{1}{16}) : - \frac{5}{16}

(- 5) (\frac{1}{16})

Apply rule

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

(- 5) (\frac{1}{16}) = - 5 \cdot \frac{1}{16}

Convert element to fraction:

5 = \frac{5}{1}

= - \frac{5}{1} \cdot \frac{1}{16}

Apply the fraction rule:

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

\frac{5}{1} \cdot \frac{1}{16} = \frac{5 \cdot 1}{1 \cdot 16}

= - \frac{5 \cdot 1}{1 \cdot 16}

Multiply the numbers:

5 \cdot 1 = 5

= - \frac{5}{1 \cdot 16}

Multiply the numbers:

1 \cdot 16 = 16

= - \frac{5}{16}

= - 10 - \frac{5}{16}

Add and subtract (left to right)

- 10 - \frac{5}{16} : - \frac{165}{16}

- 10 - \frac{5}{16}

- 10 - \frac{5}{16} = - \frac{165}{16}

= - \frac{165}{16}

= - \frac{165}{16}

- 2 \times + 4 - 1

\frac{3}{4} [\frac{1}{4} \div (- \frac{1}{2})]

7 (2)^{3} - 3 (2)^{2} - (2) + 10

7 (5 + (- 4) - (- 1))

- 2 (- 1)^{2} + 4 (- 1) + 1