Objectives
At the end of this lesson, students should:
From the previous knowledge on fractions, a “whole” can be divided into ten (10) equal parts and each part out of the ten parts is written as
In decimals, is called a tenth and is written as 0.1.
Also, when a whole is divided into hundred equal parts, each part is written as
and is called a hundredth. This is written as 0.01 in the decimal form.
Let’s have a look at the strip below:
The strip has 1 Whole been divided into 10 equal parts. Each part is called
This is written as 0.1 in the decimal form.
Having understood this we can view decimals as:
NB: The number of decimal places determines the denominator of the fraction.
Example 1
Write the following decimals as fractions.
1) 0.5 2) 0.08 3) 0.003
Example 2
Change these decimals to fractions.
a) 1.4 b) 0.35 c) 2.07 d) 19.079
Solution
Note that, the digit(s) that come(s) before the decimal point represent(s) the whole number and the digit(s) that come(s) after the decimal point represent(s) the fraction part.
Unit 10 Lesson 2: Exercise 1
Convert the following decimals to fractions.
1) 0.9 = 2) 0.11 =
3) 0.7 = 4) 0.09 =
5) 0.78 = 6) 0.48 =
7) 0.83 = 8) 0.22 =
9) 0.120 = 10) 0.850 =
Unit 10 Lesson 2: Exercise 2
Write these decimals as fractions and express them in their lowest terms.
1) 0.04 = 2) 0.97 =
3) 0.5 = 4) 0.255 =
5) 0.23 = 6) 0.49 =
7) 2.5 = 8) 13.24 =
9) 225.14 = 10) 85.860 =
Unit 10 Lesson 2: Exercise 3
Represent these decimals by their simplest fractions.
1) 1.17 2) 6.213
3) 35.35 4) 9.620
5) 12.5 6) 432.8
7) 7.95 8) 15.9
9) 6.07 10) 2.003