ON A WALK

Out walking with your friends, show them this quick way to square numbers that end in 5 using the formula BY ONE MORE THAN THE ONE BEFORE.

**75**75^{2}= 5625^{2}means 75 x 75.

The answer is in two parts: 56 and 25.

The last part is always**25**.

The first part is the first number, 7, multiplied by

the number "one more", which is 8:

so 7 x 8 = 56- Similarly
**85**because 8 x 9 = 72.^{2}= 7225

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On A Walk

For the harmony of

the world is made

manifest in Form and

Number, and the

heart and soul and

all the poetry of

Natural Philosophy

are embodied in the

concept of mathematical

beauty.

the world is made

manifest in Form and

Number, and the

heart and soul and

all the poetry of

Natural Philosophy

are embodied in the

concept of mathematical

beauty.

D’Arcy Thompson