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Approximating squares between perfect squares

This math skill teaches how to approximate the square of a non-whole number by identifying whole numbers it's between and using their squares to estimate its value. The process involves choosing an approximation close to the actual square based on its proximity to the middle value.

Learn approximating squares between perfect squares

Teaching Transcript

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Let's approximate the square of 2.3.

2.3 is between 2 and 3, but slightly lower than the middle. 2 squared is 4 and 3 squared is 9

So our answer will be between 4 and 9 but on the lower end. Let's approximate 5.5

The correct answer is 5.29, so our approximation was pretty good

Skill Practice

Approximating squares between perfect squares

Test your understanding of approximating squares between perfect squares by practicing it! Work through the below exercises to use it in practice.