Sep. 7th, 2010
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Sep. 7th, 2010 11:41 am
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Mental Arithmetic - Tables of Numbers
Sep. 7th, 2010 11:16 pmHere are some basic tables of numbers. Copy and paste them to your own computer, print them out, save them in a spreadsheet if you will - you'll be coming back to them over and over to practice different techniques.
These figures start with single digits, then move on to digit pairs, then three digit figures, four digit numbers and so on up to eight digit numbers. Don't let the size of the numbers daunt you: you're practicing on individual digits, or on digit pairs, and you only need concentrate on a handful of digits at any one time.
In fact, the longer the number the more practice you can get working those digits, to give some of the longer numbers a go. You could get better at it, faster.
These tables can be used for all the following exercises. Whether we'll be multiplying by a small number like 12, or doing multiplication by a longer number like 3342, or even dividing numbers, you can come back to these particular numbers to work on your techniques.
Use them as metrics. If you become familiar with multiples of, say, 32447, you'll know if you're in the right ballpark before you check your multiplications or whatever.
And now, the tables.
"Halving" Digits
Single Digits
Digit Pairs
Three-Digit Numbers (+leading zero)
Four-Digit Numbers (+leading zero)
Five-Digit Numbers (+leading zero)
Six-Digit Numbers (+leading zero)
Seven-Digit Numbers (+leading zero)
Eight-Digit Numbers (+leading zero)
These figures start with single digits, then move on to digit pairs, then three digit figures, four digit numbers and so on up to eight digit numbers. Don't let the size of the numbers daunt you: you're practicing on individual digits, or on digit pairs, and you only need concentrate on a handful of digits at any one time.
In fact, the longer the number the more practice you can get working those digits, to give some of the longer numbers a go. You could get better at it, faster.
These tables can be used for all the following exercises. Whether we'll be multiplying by a small number like 12, or doing multiplication by a longer number like 3342, or even dividing numbers, you can come back to these particular numbers to work on your techniques.
Use them as metrics. If you become familiar with multiples of, say, 32447, you'll know if you're in the right ballpark before you check your multiplications or whatever.
And now, the tables.
Digit | "Halved" |
---|---|
0, 1 | 0 |
2, 3 | 1 |
4, 5 | 2 |
6, 7 | 3 |
8, 9 | 4 |
5 | 1 | 3 | 2 | 7 | 5 | 8 | 1 | 6 | 2 |
0 | 9 | 2 | 5 | 1 | 3 | 4 | 1 | 9 | 6 |
7 | 1 | 0 | 4 | 8 | 4 | 7 | 2 | 9 | 3 |
4 8 | 2 7 | 1 8 | 4 5 | 5 2 | 8 3 | 6 7 | 6 9 | 9 1 | 8 0 |
0 9 | 1 2 | 3 6 | 2 7 | 9 4 | 8 6 | 2 5 | 6 1 | 4 2 | 1 7 |
7 6 | 6 4 | 3 5 | 1 8 | 5 1 | 6 9 | 0 4 | 2 7 | 2 6 | 4 7 |
0709 | 0475 | 0154 | 0216 | 0352 |
0198 | 0847 | 0729 | 0117 | 0263 |
0229 | 0886 | 0212 | 0261 | 0811 |
0702 | 0260 | 0699 | 0370 | 0435 |
0735 | 0579 | 0545 | 0873 | 0567 |
0378 | 0456 | 0112 | 0396 | 0440 |
08295 | 09922 | 01666 | 08602 | 09132 |
06556 | 07078 | 09709 | 02930 | 08240 |
02737 | 07688 | 03580 | 05584 | 05142 |
04683 | 05616 | 03905 | 08808 | 05275 |
06757 | 09965 | 09897 | 03830 | 06388 |
05187 | 01451 | 02731 | 05777 | 03304 |
039447 | 039232 | 040222 | 034251 | 052497 |
070452 | 067924 | 003561 | 070302 | 051801 |
040681 | 038163 | 087386 | 058424 | 065359 |
033770 | 097925 | 058764 | 030034 | 091426 |
027759 | 062257 | 076715 | 083982 | 045638 |
038841 | 010937 | 088876 | 037494 | 080149 |
0836325 | 0341267 | 0136900 | 0963637 | 0988439 |
0335986 | 0902530 | 0119677 | 0901084 | 0724990 |
0298444 | 0958696 | 0521690 | 0555354 | 0930256 |
0994412 | 0275789 | 0695617 | 0803280 | 0814464 |
0383324 | 0760391 | 0143876 | 0819288 | 0358038 |
0110864 | 0434222 | 0301688 | 0697005 | 0853435 |
06116226 | 03742111 | 02957124 | 07702730 | 03379118 |
06953976 | 05488932 | 01253347 | 08449990 | 05232484 |
02173108 | 06821219 | 08484185 | 08952742 | 04273777 |
03271728 | 00137663 | 03621897 | 03826997 | 02584635 |
06577286 | 08806829 | 04317546 | 06988269 | 05336647 |
01393093 | 08899358 | 05471934 | 02020510 | 03155663 |
058813130 | 038911530 | 061881803 | 058810146 | 020924136 |
016106911 | 076754100 | 091432881 | 020621010 | 036049099 |
034343877 | 033676744 | 015682998 | 088816350 | 072154062 |
034473246 | 095580429 | 043694589 | 045871914 | 054246060 |
092505926 | 055630386 | 097448373 | 044481475 | 028921487 |
043236483 | 058611859 | 016358692 | 034893653 | 027001188 |