Do you agree all multiplication is addition?

Question

If yes then how does multiplication help us.Which real life activities show multiplicative operations give me at least 20 illustartions.

Answer 1

Absolutely YES.

Example 1:
15 X 0.5 = 7.5
Try:
0.5+0.5+0.5+... (15 times) = 7.5
or:
15/2 = 7.5

Example 2:
1/2 x 1/2 = 1/4
Try:
1/4 + 1/4 = 1/2

Example 3:
1/2 x 1/3 = 1/6
Try:
1/6 + 1/6 = 1/3
or:
1/6 + 1/6 + 1/6 = 1/2

Example 4:
2/3 x 1/5 = 2/15
Try:
2/15 + 2/15 + 2/15 + 2/15 + 2/15 = 2/3
or:
1/15 + 1/15 + 1/15 = 1/5

So in general, multiplication can be defined as addition of fractions as well. For a/b x c/d = e/f, we have:

a/f + a/f + ... (d times) = a/b
c/f + c/f + ... (b times) = c/d

In fact, if multiplication were not defined in terms of addition for all numbers, then we would have an unworkable system of arithmetic.

Don't ask your idiot professor because he won't know this even though he may have written a paper on Banach spaces to obtain his PhD.

Jay_h has given you examples of matrix multiplication and modulo arithmetic which are not the same as multiplication for reals. You often have to do a lot with matrices to obtain some useful result in 'real life'. For example eigen values and eigen vectors are extremely useful in many real life problems but the processes involved are not exactly the same kind of multiplication as that found in real numbers. There are many other examples. However, I think your question refers only to real numbers, yes?

Answer 2

You have learned that multiplication is repeated addition, which is true under very specific (but, of course, highly useful) circumstances. But there are plenty of situations where the relationship between multiplication and addition stops being so straightforward.

Consider working with time. If someone asks you "what's 9 x 3 hours," your answer would be "27 hours." But if someone asks you to figure successive 3 hour time increments after midnight, you're certainly not going to reach 27:00 ("twenty seven o'clock").

Another example would be working with matrices. Matrix addition is commutative (when adding two matrices, A and B, I can figure A+B or B+A and it's the same thing), but multiplication of matrices is not commutative at all: AB does not necessarily equal BA.

In sum, the statement "multiplication is addition" is true over the real numbers, but as you'll quickly discover, there's a lot more to math than just the reals.

Hope that helps!

Answer 3

No, not all of multiplication is repeateed addition. You Don't add .56 7.3's if you multiply .56 by 7.3, do you?
Multiplicative operations help us in extremely vast amount of ways. You can rarely see an equation without the use of multiplication... even the most basic ones such as the properties of addition requires multiplication of some sort. Multiplication has been practiced by the first people of the world although they did not know they're doing so. Computer circuits, although we know that they can only add and subtract, have been arranged to simulate multiplication.

Answer 4

Finding the 20% off price of a shirt that is on sale.
Figure out how many people ride the hundreds of subways in NY City assuming all seats are filled during 5 - 6 pm
Figure out how many miles we'll go if we travel at 60 miles per hour by the time we rest at 7 pm
Compounding interest on a loan...how much will we pay in 30 years.

ETC. I don't have time for 20 answers to one question. If you are asking do you need to learn multiplication, no, you don't. You can stay uneducated and be an underachiever the rest of your life.

Answer 5

Yes I do. I don't know about the 20 illustrations though.
example: (4x4=16)
4
4
4
4
----------
16
4x4 is added 4 times, hence added!
So in essence it is nothing more than addition but to the power of the x number. Have Fun!!

Answer 6

Yes. n times multiplications is adding the number n times.

Answer 7

Light takes 4.3 years to reach earth from a-centauri.
I year = 365.25 days.
I day = 24 hours.
I hour = 60 minutes.
I minute = 60 seconds.
Distance traveled by light in 1 second = 300000000 m.
Now tell me the distance of a-centauri from earth.

Answer 8

no, though multiplication is repeated addition by definiton. you can multiply by 1/2, but before you add to get the same number, you have to half a number, which you cant do by addition alone.

5*(1/2) is multiplication that you can not express by addition.

Answer 9

all multiplication problems can be reduced to addition problems but it remains a seperate function. if i said yes we could say that all multiplication problems are subtraction problems. eg: 4*2=4+4=4+(-4)
not the same fuction but in maths problems can all be manipulated into other functions

Answer 10

Yes repeated addition