On a Walk

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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.

• 75² = 5625
  
  75² 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 85² = 7225 because 8 x 9 = 72.

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<p><img src="/images/Tutorials/FWF/Exercise.jpg" width="43" height="43" align="absmiddle"><span id="QHI_FWF_On_A_Walk" class="QHC_TutorialButton">On A Walk</span></p>

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.

D’Arcy Thompson