1) Rational numbers are numbers that can be written as a quotient of two integers, such as a/b where b does not equal 0. They include integers as well as fractions and repeating decimals. 2) The document provides examples of determining if numbers are rational and plotting them on a number line. It also gives examples of quotients that result in rational numbers and representing them on a number line. 3) Exercises are provided to have the reader locate and plot various rational numbers on a single number line.

1. Rational Numbers in the
Number Line
July 17, 2017
Reference: DepEd Mathematics
Learner’s Material

2. Objectives
1. Define rational numbers
2. Illustrate rational numbers
on the number line
3. Arrange rational numbers
on the number line

3. 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

4. Consider the following examples and answer the
questions that follow:
a. 7 ÷ 2 = 3
1
2
,
b. (-25) ÷ 4 = -6
1
4
c. (-6) ÷ (-12) =
1
2
1. Are quotients integers?
2. What kind of numbers are they?
3. Can you represent them on a number line?

5. The word rational is derived
from the word “ratio” which
means quotient. Rational
numbers are numbers which
can be written as a quotient of
two integers,
𝑎
𝑏
where b ≠ 0.
Examples: 3
1
2
, -6
1
4
,
1
2

8. Example 3. Locate the point -
5
3
on the number
line.
-
5
3

9. Exercises
Locate and plot the following on the number
line. (Use only one number line)
1. -
10
3
2. 2.5
3. 2
1
3
4. 0
5.
1
4