Welcome to SHORTCUTSPOT
To multiply by
2
Add the number to itself (example 2×9 = 9+9)
5
The last digit goes 5, 0, 5, 0, ...
Is always half of 10× (Example: 5x6 = half of 10x6 = half of 60 = 30)
Is half the number times 10 (Example: 5x6 = 10x3 = 30)
6
when you multiply 6 by an even number, they both end in the same digit.
Example: 6×2=12, 6×4=24, 6×6=36, etc
9
(A)the last digit goes 9, 8, 7, 6, ...
your hands can help! Example: to multiply 9 by 8, hold your 8th finger down, and count "7" and "2", the answer is 72
(B)is 10× the number minus the number. Example: 9×6 = 10×6−6 = 60−6 = 54
(C)when you add the answer's digits together, you get 9.
Example: 9×5=45 and 4+5=9. (But not with 9×11=99)
10
put a zero after it
11
(A)up to 9x11: just repeat the digit (Example: 4x11 = 44)
(B)for 10x11 to 18x11: write the sum of the digits between the digits
Example: 15x11 = 1(1+5)5 = 165
Note: this works for any two-digit number, but when the sum of the digits is more than 9, we need to"carry one". Example: 75x11 = 7(7+5)5 = 7(12)5 = 825
12
is 10× plus 2×
Just remember square can help you to multiply numbers
1X1=1
2X2=4
3X3=9
4X4=16
5X5=25
6X6=36
7X7=49
8X8=64
9X9=81
10X10=100
11X11=121
12X12=144
And this gives us one more trick. When the numbers we are multiplying are separated by 2 (example 7 and 5), then multiply the number in the middle by itself and subtract one. See this
5×5 = 25 is just one bigger than 6×4 = 24 |
6×6 = 36 is just one bigger than 7×5 = 35 |
7×7 = 49 is just one bigger than 8×6 = 48 |
8×8 = 64 is just one bigger than 9×7 = 63 |
etc ... |
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