__Objectives__

At the end of this lesson, students should be able to:

- Identify which decimal is larger or smaller than the other.
- Identify decimals or decimal fractions that are equal.
- Use the signs >, < or = to compare decimals.

Comparing decimals involves identifying which decimal is greater than (>), less than (<) or equal to (=) the other decimal to which it is being compared.With the knowledge of decimal place value, decimals can be compared easily

__Example 1__

**Put in (>, < or =)**

a)8.24 _____ 3.89

b) 16.821 _____ 24.102

c) 865.2 ______ 98.75

d) 9.2 ______ 8.4739

__Solution__

a) 8.24˃3.89

**Looking at the whole numbers, 8 is larger than 3, therefore 8.24 is greater than 3.89.**

b) 16.821 **˂** 24.102

**Comparing whole numbers, 24 is greater than 16, therefore, 16.821 is less than 24.102**

c) 865.2**˃**98.75

**865 is greater than 98, therefore, 865.2 is greater.**

d) 9.2**˃** 8.4739

**In this example, one may wonder why the number with a greater number of digits isn’t the greater decimal. However, the number of digits in a decimal does not particularly play any role in comparison if the whole numbers are different. Therefore 9.2 is greater than 8.4739.**

__Example 2__

**Compare these:**

a)4.2 _____ 4.9

b) 16.25 _____ 16.09

c) 6.182 ______ 6.190

d) 5.241 ______ 5.247

__Example 3__

**Put in >,< or =**

a) 8.0 ________ 0.8 b) 18.5 ______ 2.97

c) 0.9 ________ 0.009 d) 2.86 ________ 0.97

e) 3 _______ 3.5 f) 8 5/10 ________ 8.5

__Solution__

a) 8.0 ____>____ 0.8 b) 18.5 ___>___ 2.97

c) 0.9 ____>____ 0.009 d) 0.97___˂_____ 2.86

e) 3 ____=___ 3.5 f) 8 5/10 ____=____ 8.5

Lesson Content

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