__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) 24 _____ 3.89

b) 821 _____ 24.102

c) 2 ______ 98.75

d) 2 ______ 8.4739

__Solution__

a) 24**˃**3.89

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

b) 821 **˂** 24.102

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

c) 2**˃**98.75

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

d) 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) 2 _____ 4.9

b) 25 _____ 16.09

c) 182 ______ 6.190

d) 241 ______ 5.247

__Solution__

__Example 3__

**Put in >,< or =**

__Solution__

__Unit 10 Lesson 6: Exercise 1__

*Compare the following decimals using >, < or =*

1) 8.6 _______ 8.9 2) 2.65 ________ 3.65

3) 7.953 ________ 7.928 4) 2.976 _______ 9.5

5) 5.148 ________ 5.142 6) 19.11 _______ 19.28

7) 0.87 ________ 0.09 8) 0.47 ________ 4.07

9) 240.8 ________ 248.0 10) 0.4 ________ 0.41

__Unit 10 Lesson 6: Exercise 2__

*Unit >, < or = to make each statement true.*

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