Mathematics can sometimes be confusing, especially when it comes to understanding certain symbols. One common challenge many students face is remembering which way the greater than and less than signs are supposed to face. If you’ve ever found yourself second-guessing whether it’s “>” or “<”, you’re definitely not alone.

Fortunately, there’s a simple and effective trick to help you remember–using the alligator method. This approach is straightforward, memorable, and designed to make learning a little more enjoyable.

Why Are Greater Than and Less Than Signs?

The greater than sign ( > ) and the less than sign ( < ) are symbols used to compare numbers. Essentially, they help determine which number is larger or smaller. However, if you’re not familiar with a helpful strategy, the symbols can feel confusing and easy to mix up.

If you’ve ever struggled to remember which sign means what, you’re not alone. This is a common hurdle for students, but once you understand the alligator method, it becomes much simpler.

The Alligator Method: A Simple and Effective Trick

Picture an alligator that is always hungry. It constantly searches for the largest meal possible, which means it will always try to “eat” the bigger number. The greater than and less than signs can be thought of as the alligator;s open mouth, ready to devour the largest number in sight.

Here’s how it works:

  • When the alligator’s mouth is open toward the left, it represents a greater than sign ( > ).
  • When the alligator’s mouth is open toward the right, it represents a less than sign ( < ).

This simple image of a hungry alligator makes understanding the signs much easier to remember. The alligator always faces the larger number because it always wants the bigger meal.

Understanding the Greater Than Sign ( > )

The greater than sign ( > ) indicates that the number on the left is larger than the number on the right. The alligator’s mouth opens toward the larger number, as it prefers the bigger meal.

Example

  • 10 > 3 — The alligator prefers 10 over 3.
  • 8 > 5 — The alligator always chooses the larger number, in this case, 8.

By visualizing the alligator facing the larger number, it becomes easier to determine which symbol to use

Understanding the Less Than Sign ( < )

Then less than sign ( < ) indicates that the number on the left is smaller than the number on the right. The alligator’s mouth is open toward the larger number, meaning it is not facing the smaller number. 

Example

  • 4 < 9 — The alligator wants the 9, as it is the larger number.
  • 2 < 7 — The alligator always chooses 7 over 2.

Remember, the open side of the sign always faces the larger number, which makes the alligator trick effective.

Why This Method Works So Well

The alligator method works because it provides a simple, memorable image to associate with the greater than and less than sign. Instead of trying to remember abstract rules, you are visualizing a scenario that feels logical—an alligator always going for the bigger number.

The visual aspect of this trick is particularly helpful for students who prefer learning through images or storytelling. 

Practice Makes Perfect

Let’s see if you’ve mastered the alligator method. Try these examples and decide which direction the alligator’s mouth should face: 

  • 15 __ 10
  • 5 __ 20
  • 12 __ 8
  • 3 __ 7

Remember, the alligator always wants to face the larger number.

Helpful Tips for Remembering Greater Than and Less Than Signs

Understanding greater than and less than signs becomes much easier with consistent practice. Here are some tips to help reinforce your knowledge: 

  • Draw it out: Sketch a small alligator with sharp teeth and use it when solving problems.
  • Say it aloud: Repeating phrases like “ The alligator eats the bigger number” helps reinforce the concept.
  • Teach someone else: Explaining the method to a friend or sibling can make the idea stick even better.

Why it Matters

Learning how to properly use the greater than and less than signs is an important foundation skill. Once you are comfortable with comparing numbers, it makes other topics—such as inequalities, graphs, and algebra—much easier to understand. Building a solid foundation in these concepts will help you progress in mathematics with confidence.

Ready to Strengthen Your Math Skills?

If you feel more comfortable with greater than and less than signs, that’s fantastic! But remember, math involves many concepts that require practice and guidance. Whether it’s learning more advanced topics or preparing for important exams, understanding  these basics is crucial.

At Park Tutoring, we understand that every student learns differently. Our experienced tutors are here to help you make sense of challenging concepts, including those tricky greater than and less than signs. With our support, you can gain the skills and confidence needed to excel in math and beyond.

Ready to take your math skills to the next level? Contact Park Tutoring today and let’s work together to make learning enjoyable and successful.

Details

Date

Apr 17, 2025

Category

Reading

3 Min