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Understanding Integers and Absolute Value: A Warmup Guide

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This warmup guide introduces the concepts of integers and absolute value, emphasizing the order of operations for evaluating expressions. We define integers as whole numbers that can be positive, negative, or zero, and highlight their representation on the number line. The guide includes exercises comparing integers, understanding their relationship on the number line, and using inequalities. By practicing with absolute values, learners will solidify their understanding of these essential mathematical concepts through engaging activities and examples.

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Understanding Integers and Absolute Value: A Warmup Guide

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  1. August 22: Integers & Absolute Value

  2. 1.1 Warmup#1-3 Evaluate each expression using the order of operations. 1. 2. 3.

  3. Integers • The integers are: • positive and negativewhole numbers; and • zero (which is a whole number but neither positive nor negative). • Examples: • 72 • 0 • –6 • – 325 • Non-examples: • – 3.15 • ½ • π • 5,260.8

  4. Integers • Integers are represented in math by using the number line that extends right and left from 0. • Here are some integers on the number line:

  5. Comparing Integers • When you compare two integers, the lesser (smaller) number is to the left, and the greater (larger) number is to the right. • For example, –3 is less than 35. • This might surprise you: – 39 is less than – 3.

  6. Comparing Integers • Try it yourself. Fill in the blanks with < or >. • *Reminder: • < means “is less than” • > means “is greater than”

  7. Comparing Integers • Try it yourself. Rewrite these integers in order from least to greatest:

  8. Absolute Value

  9. Absolute Value • Try it yourself.What is the absolute value of 2?What is the absolute value of ?What is ?What is ?

  10. Absolute Value AND Comparing Integers • Try it yourself.Put the following values in order from least to greatest.

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