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Understanding Integers: Positive, Negative Numbers, and Absolute Values Explained

This resource explores integers, focusing on positive and negative numbers, their visual representation on a number line, and the concept of absolute value. It provides rules for adding integers, including operations involving same and different signs, and includes evaluative expressions to deepen understanding. Learn to graph integers like -5, -1, 10, and 4, as well as the meaning of comparison symbols such as <, >, and =. This guide is perfect for learners looking to master integer operations and prepare for assessments.

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Understanding Integers: Positive, Negative Numbers, and Absolute Values Explained

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  1. Sections 2.1, 2.2 Positive and Negative Numbers (Part 1)

  2. What are integers? The whole numbers and their opposites. …-3, -2, -1, 0, 1, 2, 3… (Numbers marked on a standard number line.)

  3. Graph the following integers. -5, -1, 10, 4, -9

  4. Graph the following integers. -5, -1, 10, 4, -9 What do the following symbols mean? <, >, =

  5. What Is Absolute Value? The distance a number is from zero.

  6. Example 1-4d Evaluate each expression.

  7. Example 1-4d Evaluate each expression. Let x = 3, y = 12, z = -9

  8. 4 -  you could teach it right now 3 – you could ace it on a test 2 – you could give an example 1 – may of heard of it, but that’s about it

  9. Rules for Adding Integers Same Signs: Add the two numbers and use the same sign. Different Signs: Subtract the two numbers, use the sign of the number with the larger absolute value.

  10. Evaluate the following expressions. 38 + (-23) = -14 + (-15) = -35 + (-39) = -34 + 21 = Same Signs: Add the two numbers and use the same sign. Different Signs: Subtract the two numbers, use the sign of the number with the larger absolute value.

  11. Evaluate the following expressions. Same Signs: Add the two numbers and use the same sign. Different Signs: Subtract the two numbers, use the sign of the number with the larger absolute value.

  12. Homework Practice 2.1, 2.2 All

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