Thursday, 4 December 2014



Welcome to SHORTCUTSPOT


To multiply by                                          

                                                              
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 = 10×66 = 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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RS Aggarwal Shortnotes

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