Chapter 17

Adding and Subtracting with Negatives Concept Explanation:

When adding or subtracting numbers that include negatives, the rules of addition and subtraction remain the same, but the signs must be handled carefully.

• Adding a negative is the same as subtracting:

Subtracting a negative is the same as adding:

Common Mistakes:

1. Confusing Signs: Make sure to clearly identify when you’re adding or subtracting negative numbers.
2. Misapplying the Rules: Remember that subtracting a negative changes the operation to addition.

Hard Questions:

Q1: Calculate .

Step-by-Step Solution:

1. Simplify the expression:

Answer:

• The result is .

Q2: Calculate .

Step-by-Step Solution:

1. Change the operation:

Answer:

• The result is .

Q3: Calculate .

Step-by-Step Solution:

1. Calculate step-by-step:

Then subtract:

Answer:

• The result is .

• Angles of Elevation and Depression
• Angles Fundamentals
• Angle of Rotation
• Angle of Intersecting Chords Theorem
• Angle of Intersecting Secants Theorem