Question

1. add 16 + (-9).
2. evaluate a - b for a = -7 and b = 14.

-7 - 14 = -21

Explanation:

Problem 6:

Step1: Recall addition of integers

When adding a positive and a negative number, we can rewrite it as subtraction: \(16 + (-9)=16 - 9\)

Step2: Perform the subtraction

\(16-9 = 7\)

Step1: Substitute the values

Given \(a=-7\) and \(b = 14\), substitute into \(a - b\): \(-7-14\)

Step2: Perform the subtraction

When subtracting a positive number from a negative number, we add the absolute values and keep the negative sign: \(\vert - 7\vert+\vert14\vert=7 + 14=21\), so \(-7-14=-21\)

Answer:

\(7\)

Problem 7: (Verification)