Multiplying two 2-digit numbers
(difference
of 6)
- Choose a 2-digit number.
- Select a number either 6 smaller or 6 larger.
- Find the middle number of the two (the average).
- Square this middle number.
- Subtract 9 from this square.
Example:
- If the first number is 78, choose 72 as the second number.
- The middle number (the average) is 75.
- Square this middle number: 75 x 75 = 5625. (Remember
how to square a 2-digit number ending in 5?)
- Subtract 9 from this square: 5625 - 9 = 5616.
- So 78 x 72 = 5616.
See the pattern?
- If the first number is 31, choose 37 as the second number.
- The middle number (the average) is 34.
- Square this middle number: 34 x 34 = 1156. (Remember how
to square a 2-digit number ending in 4?)
- Subtract 9 from this square: 1156 - 9 = 1147.
- So 31 x 37 = 1147.
Choose the second number that will give you the easier square, and use your square
shortcuts. Practice!
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