Rational Numbers in the Number Line July 17, 2017 Reference: DepEd Mathematics Learner’s Material Objectives 1. Define rational numbers 2. Illustrate rational numbers on the number line 3. Arrange rational numbers on the number line Activity Determine whether the following numbers are rational numbers or not. -2, 𝜋, 1 3 , 3 27, 16, -1.89 Now, try to locate them on the real number line below by plotting: -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Consider the following examples and answer the questions that follow: a. 1 7÷2=3 , 2 1 b. (-25) ÷ 4 = -6 4 1 c. (-6) ÷ (-12) = 2 1. Are quotients integers? 2. What kind of numbers are they? 3. Can you represent them on a number line? The word rational is derived from the word “ratio” which means quotient. Rational numbers are numbers which can be written as a quotient of 𝑎 two integers, where b ≠ 0. 𝑏 Examples: 1 3 , 2 1 1 -6 , 4 2 Example 3. Locate the point line. 5 3 5 3 on the number Exercises Locate and plot the following on the number line. (Use only one number line) 1. 10 3 2. 2.5 3. 1 2 3 4. 0 5. 1 4