Chapter 1.5, Problem 43P

Reasoning Without doing the calculations, determine whether $-47-(-33)$ or $-47+(-33)$ is greater. Explain your reasoning.

To determine

The expressions $-47-(-33)$or $-47+(-33)$ is greater without doing the calculation.

Answer to Problem 43P

  $-47-(-33)$ is greater.

Explanation of Solution

Given information: Two expressions given $-47-(-33)$and $-47+(-33)$ .

Calculation:

The expression given, $-47-(-33)$ .

Multiplying negative and negative, it becomes positive.

So, for this expression we are adding 33 with -47.

Another expression given,

  $-47+(-33)$ .

Multiplying positive and negative, it becomes negative.

So, for this expression we are adding -33 with -47.

  $\therefore$ $-47-(-33)$ is greater as 33 is added with -47.