It is important to note that the absolute value bars do NOT work in the same way as do parentheses. Whereas (–3) = +3, this is NOT how it works for absolute value: – Problem: Simplify | |. – –3 Solution: Given | 3 |, first find the absolute value of 3. – – – | | = (3) – –3 – Now take the negative of 3. Thus, | | = (3) = – –3 – –3 This illustrates that if you take the negative of the absolute value of a number, you will get a negative number for your answer. II. Questions to Ponder (Post-Activity Discussion) Let us answer the questions posed in Activity 2. What subsets of real numbers are used in the problem? Represent the trip of Archie and Angelica to the house of Aloys using a number line. The problem uses . Travelling 3 miles west can be represented by –3 (pronounced negative 3). Travelling 3 miles east can be represented by +3 (pronounced positive 3). can be represented by the integer 0. Aloys’ house What are opposite numbers on the number line? Give examples and show on the number line. What does it mean for the same distance travelled but in opposite directions? How would you interpret using the numbers and +3? –3 The absolute value of a number is its distance from zero on the number line. The absolute value of +3 is 3, and the absolute value of is 3. –3 What can you say about the absolute value of opposite numbers say and –5 +5? Opposite numbers have the same absolute values. How can we represent the absolute value of a number? What notation can
It is important to note that the absolute value bars do NOT work in the same way as do parentheses. Whereas – (–3) = +3, this is NOT how it works for absolute value: Problem: Simplify – | –3 |. Solution: Given – | – 3 |, first find the absolute value of – 3. – | –3 | = – (3) Now take the negative of 3. Thus, – | –3 | = – (3) = –3 This illustrates that if you take the negative of the absolute value of a number, you will get a negative number for your answer. II. Questions to Ponder (Post-Activity Discussion) Let us answer the questions posed in Activity 2. What subsets of real numbers are used in the problem? Represent the trip of Archie and Angelica to the house of Aloys using a number line. The problem uses . Travelling 3 miles west can be represented by –3 (pronounced negative 3). Travelling 3 miles east can be represented by +3 (pronounced positive 3). Aloys’ house can be represented by the integer 0. What are opposite numbers on the number line? Give examples and show on the number line. What does it mean for the same distance travelled but in opposite directions? How would you interpret using the numbers –3 and +3? The absolute value of a number is its distance from zero on the number line. The absolute value of +3 is 3, and the absolute value of –3 is 3. What can you say about the absolute value of opposite numbers say –5 and +5? Opposite numbers have the same absolute values. How can we represent the absolute value of a number? What notation can