Multiplying a 2- or 3-digit number by 75

1. Select a 2- or 3-digit number.
2. Multiply it by 3.
3. Add two zeros.
4. Divide by 4.

   Example:

1. The 2-digit number chosen to multiply by 75 is 62.
2. Multiply by 3: 3 x 62 = 186
3. Add two zeros: 18600
4. Divide by 4 (or by 2 twice): 18600/2 = 9300, 9300/2
   = 4650
5. So 75 x 62 = 4650.

   See the pattern?

1. The 3-digit number chosen to multiply by 75 is 136.
2. Multiply by 3: 3 x 136 = 390 + 18 = 408
3. Add two zeros: 40800
4. Divide by 4 (or by 2 twice): 40800/2 = 20400, 20400/2
   = 10200
5. So 75 x 136 = 10200.

Practice and you will be able to give these products quickly. Multiply from left to right for simpler mental math, and divide by 2 twice if division by 4 is not easy