Question

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

A) -23 - (-4) = -19.
B) -24 - (-4) = -20.
C) -24 - 4 = -28.
D) 24 - (-3) = 27.

Answer 1

The correct estimation of the quotient by rounding to the nearest integers and applying subtraction due to the negative signs is -24 - (-4) = -20.

Step-by-step explanation:

The student's question is asking about rounding numbers to estimate the quotient of -23.514 and -3.98. When rounding -23.514 to the nearest integer, we get -24, and when rounding -3.98 we get -4.

Calculating the rounded numbers gives us -24 divided by -4, which equals 6. However, since the student used subtraction instead of division for estimation, the options provided require us to look for an addition rather than subtraction due to the negative signs involved.

The correct estimation using subtraction for the negative numbers would be -24 - (-4) = -20, which is choice B.