Yes it's true!
How can this be?
let's take a look!
ok, first, look at this problem...
13 x 7 ----
now, multiply the three 7 times and place the result like this...
13 x 7 ---- 21
next, multiply the one 7 times and place the result like this...
13 x 7 ---- 21 7
add the 21 and 7...
13 x 7 ---- 21 + 7 ---- 28
and you get 28. therefore, 13x7=28.
WHAT? You want me to prove it by division? Well, here goes...
--- 7)28
now let's start with the 2.
--- 7)28
now, how many times does seven go into 2?
zero. you cannot divide 7 into 2.
so, you go to the 8.
--- 7)28
now, how many times does seven go into 8?
one. so, place the 1 like this...
1 ---- 7) 28
put the 7 under the 28 like this...
1 ---- 7) 28 7
and subtract the 7 from the 28...
1 ---- 7) 28 - 7 -- 21
next, how many times does 7 go into 21?
3. so you put the 3 to the right of the 1, put the product of 3x7 under the 21, and...
13 ---- 7) 28 - 7 -- 21 - 21 -- 0
you have no remainder, so the answer is an integer.
therefore, 7 into 28 is 13.
WHAT? You want me to prove it by addition? well, consider this...
13 + 13 + 13 + 13 + 13 + 13 + 13 ----
now, add the 3's together: 3. 6. 9. 12. 15. 18. 21.
13 + 13 + 13 + 13 + 13 + 13 + 13 ---- 21
... add the 1's: 22. 23. 24. 25. 26. 27. 28.
13 + 13 + 13 + 13 + 13 + 13 + 13 ---- 21 + 7 ---- 28
there! that proves that...
d.t.
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