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How do you calculate the square of 5^2?

To calculate the square of 55, denoted as 525^2, you multiply 55 by itself, yielding a result of 2525.

When we refer to squaring a number, we mean that we multiply that number by itself. The notation 525^2 is read as “five squared,” indicating that it represents the multiplication of 55 by 55. Thus, to determine 525^2, we perform the operation:

5×5.5 \times 5.

Let’s break this process down step-by-step. In this expression, the base number is 55, and the exponent is 22. The exponent indicates how many times to use the base number in the multiplication. Specifically, since the exponent is 22, we multiply 55 by itself once:

5×5.5 \times 5.

Carrying out the multiplication, we find:

5×5=25.5 \times 5 = 25.

Consequently, the square of 55 is 2525. This concept is fundamental in mathematics, particularly in GCSE Maths, where a solid understanding of exponents is essential. It’s important to remember that squaring a number always yields a positive value, and this notation provides a convenient way to express repeated multiplication of the same number.

Answered by: Prof. Richard White
A-Level Maths Tutor
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