Square of a Number
A number multiplied by itself.
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Example
7² = 49
How it works
Squaring a number means multiplying it by itself, so the result depends on both the size of the number and the fact that it is used twice. For example, 5² means 5 × 5, which equals 25. This idea comes up whenever you are finding the area of a square with side length n, because area = side × side.
When to use it
Use this formula when a problem asks for a number multiplied by itself, or when calculating the area of a square. It also appears often in geometry, algebra, and science when a value is compared with itself twice.
Worked example, step by step
Find 6² 6² = 6 × 6 6 × 6 = 36 So, 6² = 36
Common mistakes to avoid
- Thinking 6² means 6 × 2 instead of 6 × 6
- Adding the number to itself instead of multiplying it by itself
- Forgetting that a negative number squared becomes positive, for example (-4)² = 16
Did You Know?
The sum of the first n odd numbers is always a perfect square: 1+3+5+7 = 16 = 4².
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