simplify 33(-1/(2(10^2))+1/2) — step-by-step solution

Let's reduce:

33 \times (- \frac{1}{2 \times 10^{2}} + \frac{1}{2})

ⓘ Powers are computed before multiplications, additions and subtractions. An integer power is a repeated product:

10^{2}

10 \times 10

100

33 \times (- \frac{1}{2 \times 100} + \frac{1}{2})

ⅰ

2 \times 100

200

33 \times (- \frac{1}{200} + \frac{1}{2})

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose

200

, the least common multiple of

200

and

2

. Multiplying the numerator and the denominator by the same number does not change the fraction:

- \frac{1}{200} + \frac{1}{2}

- \frac{1}{200} + \frac{1 \times 100}{2 \times 100}

\frac{- 1 + 1 \times 100}{200}

\frac{- 1 + 100}{200}

33 \times \frac{- 1 + 100}{200}

ⓘ Multiplying a fraction by a number multiplies its numerator:

33 \times \frac{- 1 + 100}{200}

\frac{33 \times (- 1 + 100)}{200}

■Parentheses are computed first:

- 1 + 100

99

\frac{33 \times 99}{200}

ⅰ

33 \times 99

(30 + 3) \times 99

30 \times 99 + 3 \times 99

2970 + 297

3267

▶Simplified form:

\frac{3267}{200}

The numeric value of:

\frac{3267}{200}

is:

▷

16.335