multiplying

Ryan$

Junior Member
Joined
Jan 25, 2019
Messages
215
Hi guys, I'm really confused and it would be much appreciated if you help me to how I can visualize it.

lets assume I have 3*4=12, why if I multiplying grater numbers from 3,4 I will get equal amount greater than 12 .. in other words if I multiply 4*4=16 so once I increase one of the operand which was 3 to 4 I got equal value 16 which is greater than 12 (3*4) .. so why once increasing the multiplicand operands(two operands) I get greater value?!

is the multiplying function that's increasing once we increase the input?! how can I visualize it?!
 

topsquark

Full Member
Joined
Aug 27, 2012
Messages
382
There's actually a link on this site that you might find to be helpful. It's here. Look down the left side of the page until you get to the section that says "Understand Multiplication." I looked over it.. It's a good tutorial.

-Dan
 

HallsofIvy

Elite Member
Joined
Jan 27, 2012
Messages
4,985
4(4)= 4(3+ 1)= 4(3)+ 4(1). Since 4(1) is positive the result is larger than 4(3).
 

lev888

Full Member
Joined
Jan 16, 2018
Messages
262
is the multiplying function that's increasing once we increase the input?! how can I visualize it?!
Easy - visualize a room with rows of chairs. 3 rows, 4 chairs in each row. How many chairs? 3*4 = 12. Let's add a row. How many chairs do we have now? 4*4 = 16.
As we add rows or increase the number of chairs in each row the total number of chairs increases.
 

Otis

Senior Member
Joined
Apr 22, 2015
Messages
1,509
It's easy to view multiplication of Natural numbers as repeated addition. If we increase the number of repeats (or we increase the actual number being added repeatedly), then the result must increase. That's common sense.

For example, look at 3×2, 4×2, 5×2, etc:

2 + 2 + 2 = 6
2 + 2 + 2 + 2 = 8
2 + 2 + 2 + 2 + 2 = 10

😎
 

Subhotosh Khan

Super Moderator
Staff member
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Jun 18, 2007
Messages
18,354
Don't get too carried away with that visualization. It does not work very well for irrational numbers (√2 * π) or imaginary numbers (i * i).
 

Otis

Senior Member
Joined
Apr 22, 2015
Messages
1,509
Don't get too carried away with that visualization. It does not work very well for irrational numbers (√2 * π) ...
Indeed. I wouldn't want to push Ryan$ toward a mind warp. ;)
\(\;\)
 
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