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which expression results in a negative number

1/2(-2 x 2/5)

1/3(-18) divide by -3

-1/4(-7 - 6)

-1/2 divide by -2/3

1 answer

Let's evaluate each expression to determine if it results in a negative number.

  1. Expression: \( \frac{1}{2}(-2 \times \frac{2}{5}) \)

    Calculate \( -2 \times \frac{2}{5} = -\frac{4}{5} \).

    Now calculate \( \frac{1}{2} \times -\frac{4}{5} = -\frac{4}{10} = -\frac{2}{5} \).

    Result: Negative

  2. Expression: \( \frac{1}{3}(-18) \div -3 \)

    Calculate \( \frac{1}{3} \times -18 = -6 \).

    Now divide by \(-3\): \( -6 \div -3 = 2 \).

    Result: Positive

  3. Expression: \( -\frac{1}{4}(-7 - 6) \)

    Calculate \( -7 - 6 = -13 \).

    Now calculate \( -\frac{1}{4} \times -13 = \frac{13}{4} \).

    Result: Positive

  4. Expression: \( -\frac{1}{2} \div -\frac{2}{3} \)

    Dividing by a negative results in a positive number: \( -\frac{1}{2} \div -\frac{2}{3} = -\frac{1}{2} \times -\frac{3}{2} = \frac{3}{4} \).

    Result: Positive

Summary of Results:

  • Expression 1: Negative
  • Expression 2: Positive
  • Expression 3: Positive
  • Expression 4: Positive

Conclusion: The first expression \( \frac{1}{2}(-2 \times \frac{2}{5}) \) results in a negative number.