Maths Shortcut for Squaring Numbers - II

SQUARING THE NUMBER WHICH ENDS IN 1:
1.     31² =
Ø  First, subtract 1 from the number. The number now ends in zero and should be easy to square. (30²  = 3 x 3 x 10 x 10) = 900
Ø  Add 30 and its next number 31 (30+31). We will get 61)
Ø  Add (900 + 61) = 961.

2.     3512=? Ø  3502 = 122500 Ø  350 +351 = 701 Ø  122500 +701 = 123201 saME METHOD CAN ALSO BE USED FOR numbers ending in 6. 3.     862 = Ø  852 =7225 Ø  85+86 = 171 Ø  7225+171 = 7396 SQUARING THE NUMBER THAT END IN 9 1.     292 = Ø  Add 1 to the number. The number now ends in zero and is easy to square. Ø  302 = 900 Ø  Now add 30 with given number29 (30+29 =59) Ø  Then sub (900 - 59 = 841) 2.     3492 = Ø  3502 = 122500 Ø  350+349 = 699 Ø  Sub (122500 - 699 )= 121801

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