Integers
This chapter introduces **integers**—the set of negative numbers, zero, and positive numbers. Students can practice **ordering**, finding the **absolute value**, and visualizing **addition and subtraction** using the number line.
Key Topics & Instructions
▼- Define integers and represent them on a number line.
- Order integers (greater than/less than).
- Understand the meaning of **additive inverse** and **absolute value**.
- Perform addition and subtraction of integers using the number line.
- Enter two integers in Experiment 1 to compare them and find their absolute values.
- Use Experiment 2 to visualize an addition or subtraction problem on the number line.
Experiment 1: Comparison and Absolute Value
Enter two integers to compare them and find their absolute values.
Experiment 2: Integer Operations on Number Line
Visualize the addition or subtraction of two integers (e.g., $-2 + 5$ or $3 - 4$).
On a number line, the integer on the **right** is always **greater** than the integer on the left. All positive integers are greater than zero, and all negative integers are less than zero. Also, a larger negative number (like $-10$) is smaller than a smaller negative number (like $-1$).
Rules for Integer Operations
- **Same Signs:** Add the numbers and keep the common sign. Example: $-5 + (-2) = -7$.
- **Different Signs:** Subtract the smaller absolute value from the larger absolute value, and use the sign of the number with the larger absolute value. Example: $5 + (-2) = 3$.
To subtract an integer, add its **additive inverse** (opposite). Example: $5 - (-3)$ becomes $5 + 3 = 8$.
Titration of Vinegar
Acid-Base Titration with NaOH and Phenolphthalein
