Year 9 Interactive Maths - Second Edition

Squares

Example 1

Find the square of :

a.  2
b.  4
c.  6

Solution:

This shows that:

The square of any real number is positive.

Example 2

Find the value of:

Solution:

In general:

Properties of Squares

Clearly, the squared value of a number greater than 1 is much greater than the number being squared.

In general:

Consider the squares of fractional numbers, i.e. the numbers that are between 0 and 1.

Clearly, the squared value of a fractional number is much less than the number being squared.

In general:

Key Terms

square number, properties of squares