Question

your answer is incorrect. evaluate the following. (a) -9 + 7 = (b) -9 + 7 =

Explanation:

Part (a)

Step1: Add the two numbers

To evaluate \(-9 + 7\), we know that adding a negative and a positive number is like subtracting the smaller absolute value from the larger one and taking the sign of the number with the larger absolute value. The absolute value of \(-9\) is \(9\) and of \(7\) is \(7\). Since \(9>7\), we subtract \(7\) from \(9\) and take the negative sign. So, \(-9 + 7=-(9 - 7)\)

Step2: Calculate the result

\(9-7 = 2\), so \(-(9 - 7)=- 2\)

Part (b)

Step1: First evaluate the expression inside the absolute value

First, we find the value of \(-9 + 7\) which we already calculated in part (a) as \(-2\). So now we have \(|-2|\)

Step2: Find the absolute value

The absolute value of a number is its distance from zero on the number line, so the absolute value of \(-2\) is \(2\), i.e., \(|-2| = 2\)

Answer:

(a) \(-2\)
(b) \(2\)