Sun estimated the quotient of –23.514 and –3.98 by rounding each to the nearest integer. Which equation shows the correct estimation?

Negative 23.514 divided by negative 3.98
Negative 24 divided by negative 4 = 6
Negative 24 divided by 4 = negative 6
24 divided by 3 = 8
24 divided by negative 3 = negative 8

1 answer

To estimate the quotient of –23.514 and –3.98 by rounding each to the nearest integer:

  1. Round –23.514 to the nearest integer, which is –24.
  2. Round –3.98 to the nearest integer, which is –4.

Now we can set up the equation based on the rounded estimates:

\[ \frac{-24}{-4} = 6 \]

This means the correct estimation is:

Negative 24 divided by negative 4 = 6.

So the answer is: Negative 24 divided by negative 4 = 6.