What is −4511 − 2411

?(1 point)

3 answers

To solve \(-4511 - 2411\), you can treat it as adding a negative to the first number:

\[ -4511 - 2411 = -4511 + (-2411) = -(4511 + 2411) \]

Now, calculate \(4511 + 2411\):

\[ 4511 + 2411 = 6922 \]

So,

\[ -4511 - 2411 = -6922 \]

Thus, the answer is \(-6922\).

What is −4 5/11 − 2 4/11
?(1 point)

To solve \(-4 \frac{5}{11} - 2 \frac{4}{11}\), we first convert the mixed numbers into improper fractions.

  1. Convert \(-4 \frac{5}{11}\) to an improper fraction: \[ -4 \frac{5}{11} = -\left(4 \times 11 + 5\right)/11 = -\frac{44 + 5}{11} = -\frac{49}{11} \]

  2. Convert \(2 \frac{4}{11}\) to an improper fraction: \[ 2 \frac{4}{11} = \left(2 \times 11 + 4\right)/11 = \frac{22 + 4}{11} = \frac{26}{11} \]

Now, we can perform the subtraction: \[ -\frac{49}{11} - \frac{26}{11} \]

Since the denominators are the same, we can combine the numerators: \[ -\frac{49 + 26}{11} = -\frac{75}{11} \]

Next, we convert \(-\frac{75}{11}\) back to a mixed number. Divide \(75\) by \(11\):

  • \(11\) goes into \(75\) a total of \(6\) times, since \(11 \times 6 = 66\).
  • The remainder is \(75 - 66 = 9\).

Thus, \(-\frac{75}{11} = -6 \frac{9}{11}\).

So, the final answer is: \[ -6 \frac{9}{11} \]