Elntegers and Rational Numbers Operations with absolute value: Problem type 1 Evaluate the following, (a) \( |-4|+9=\square \) (b) \( |-4+9|=\square \)

Let's break down these absolute value problems! For part (a), when you evaluate \( |-4|+9 \), you first find the absolute value of \(-4\), which is \(4\). So, you add \(4 + 9\) to get \(13\). Hence, \( |-4| + 9 = 13 \). Now, for part (b), \( |-4 + 9| \), you first perform the operation inside the absolute value. Adding \(-4 + 9\) yields \(5\). The absolute value of \(5\) is just \(5\), so \( |-4 + 9| = 5 \). So, the answers are \(13\) for part (a) and \(5\) for part (b)!