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Squaring (Shortcut)

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Richard Galano
Richard Galano

The document describes two methods for performing calculations based on a given number. The first method involves subtracting the number from 50, then 25, squaring the first result and concatenating it with the second. The second method adds the ones digit to 25, squares the ones digit and concatenates it with the first result. Examples are provided to illustrate each method.

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Squaring (Shortcut)
Step 1 Subtract the number from 50. Step 2 Subtract the result (from Step 1) from 25. Step 3 Square the result from Step 1 (if the result is a single digit, put a 0 in front of it) Step 4 Place the result from Step 3 next to the result from Step 2.
EXAMPLE # 01: 482 Step 1. Subtract the number from 50. 50 48 = 2 Step 2. Subtract the result (from Step 1) from 25. 25 2 = 23 Step 3. Square the result from Step 1 (if the result is a single digit, put a 0 in front of it) 22 = 04 Step 4.Place the result from Step 3 next to the result from Step 2. 23_04 = 2304 Answer: 482 = 2304
EXAMPLE # 02: 422 Step 1. Subtract the number from 50. 50 42 = 8 Step 2. Subtract the result (from Step 1) from 25. 25 8 = 17 Step 3. Square the result from Step 1 (if the result is a single digit, put a 0 in front of it) 82 = 64 Step 4.Place the result from Step 3 next to the result from Step 2. 17_64 = 1764 Answer: 422 = 1764
Squaring (Shortcut)
Squaring (Shortcut)
Squaring (Shortcut)
Squaring (Shortcut)
Step 1 Add the ones digit to 25. Step 2 Square the ones digit (if the result is a single digit, put a 0 in front of it) Step 3 Place the result from Step 2 next to the result from Step 1.
EXAMPLE # 01: 532 Step 1. Add the ones digit to 25. 25 + 3 = 28 Step 2. Square the ones digit (if the result is a single digit, put a 0 in front of it) 32 = 09 Step 3. Place the result from Step 2 next to the result from Step 1. 28_09 = 2809 Answer: 532 = 2809
EXAMPLE # 01: 582 Step 1. Add the ones digit to 25. 25 + 8 = 33 Step 2. Square the ones digit (if the result is a single digit, put a 0 in front of it) 82 = 64 Step 3. Place the result from Step 2 next to the result from Step 1. 33_64 = 3364 Answer: 582 = 3364
Squaring (Shortcut)
Squaring (Shortcut)
Squaring (Shortcut)
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Squaring (Shortcut)

  • 2. Step 1 Subtract the number from 50. Step 2 Subtract the result (from Step 1) from 25. Step 3 Square the result from Step 1 (if the result is a single digit, put a 0 in front of it) Step 4 Place the result from Step 3 next to the result from Step 2.
  • 3. EXAMPLE # 01: 482 Step 1. Subtract the number from 50. 50 48 = 2 Step 2. Subtract the result (from Step 1) from 25. 25 2 = 23 Step 3. Square the result from Step 1 (if the result is a single digit, put a 0 in front of it) 22 = 04 Step 4.Place the result from Step 3 next to the result from Step 2. 23_04 = 2304 Answer: 482 = 2304
  • 4. EXAMPLE # 02: 422 Step 1. Subtract the number from 50. 50 42 = 8 Step 2. Subtract the result (from Step 1) from 25. 25 8 = 17 Step 3. Square the result from Step 1 (if the result is a single digit, put a 0 in front of it) 82 = 64 Step 4.Place the result from Step 3 next to the result from Step 2. 17_64 = 1764 Answer: 422 = 1764
  • 9. Step 1 Add the ones digit to 25. Step 2 Square the ones digit (if the result is a single digit, put a 0 in front of it) Step 3 Place the result from Step 2 next to the result from Step 1.
  • 10. EXAMPLE # 01: 532 Step 1. Add the ones digit to 25. 25 + 3 = 28 Step 2. Square the ones digit (if the result is a single digit, put a 0 in front of it) 32 = 09 Step 3. Place the result from Step 2 next to the result from Step 1. 28_09 = 2809 Answer: 532 = 2809
  • 11. EXAMPLE # 01: 582 Step 1. Add the ones digit to 25. 25 + 8 = 33 Step 2. Square the ones digit (if the result is a single digit, put a 0 in front of it) 82 = 64 Step 3. Place the result from Step 2 next to the result from Step 1. 33_64 = 3364 Answer: 582 = 3364