Question

Can someone tell me a step by step explanation on what distributive properties are and also give an example?

Answer 1

Do you have any ideas?
:-)

Answer 2

The distributive properties state that a multiplier can be distributed over terms.

The call it distribut"IVE" because the multiplication CAN be done producing a simplified result.

Consider the expression:
a • ( b + c )
The multiplier "a" can be distributed over the ( b + c ) producing the simplified result:
a • b + a •c

Answer 3

Here is an example:

a • ( b + c ) = a • b + a • c
3 • ( 4 + 2 ) = 3 • 4 + 3 • 2

3 • ( 6 ) = 18 also 12 + 6 = 18
18 = 18 so the property is correct

Answer 4

Finally a response! Thank you!
Now whats funny is I am learning this in Algebra class but I'm given a rather different more simple example of

a (b + c) = ab + ac
and
(b+c) a = ba + ca
and
a (b - c) = ab - ac
and
(b - c) a = ba - ca.

This is about the only example I am given in the book, and there aren't any other examples with more specifics.
So I am thrown into the deep end with a test question stating this:

"Rewrite the expression using the distributive property. 5 ∙ 97"

What are proper steps to solve this?

Answer 5

im here

Answer 6

@Atsie im here :)

Answer 7

ooh, didn't see ya.
I'm sure you've read it over right?

Answer 8

yeah im still

Answer 9

what is your question?

Answer 10

Well, firstly have you learned about Distributive Properties yet? I don't want to burden you if you don't know it.

Answer 11

i have just its kinda rusty in there, but if i read a question im sure ill remember

Answer 12

Well here is the first page of my chapter, maybe you'll get a better idea. :)

Answer 13

im slowly getting it

Answer 14

sorry im taking long

Answer 15

Its ok. if you need the second page let me know.

Answer 16

yeah i thinnk i do

Answer 17

Here you go

Answer 18

oh i get it!

Answer 19

ok whats the question?

Answer 20

Rewrite the expression using the distributive property. 5 ∙ 97

Answer 21

I don't know if its just me, but everything in the book seems soo simple to the point of ridculous and then I get this for a question and it seems so complicated

Answer 22

first do 5 x 97

Answer 23

thats 485

Answer 24

ok now the thing it 5(485)

Answer 25

is*

Answer 26

Right, so what is the equation getting to that?

Answer 27

I mean, I'm given these options to choose from....

Answer 28

A. (5 + 90)7
B. 5(100 - 3)
C. (10 - 5)7
D. 5(100 - 17)

Answer 29

is one of the answres 2425?

Answer 30

oh

Answer 31

oh! it is A sorry for direct answere

Answer 32

answer

Answer 33

Ok thats good to know, but how is it that though?
I mean I believe you, but I'm wondering how it makes sense

5 + 90 is 95.
Do I do 95 x 7?

Answer 34

Wait no, that don't even make sense. IF I do that it comes out to 665

Answer 35

dang now im confused again...

Answer 36

yeah

Answer 37

(5 + 90)7

The parentheses mean it leads to a different equation I think. Ugh, I'm lost. You see, this is why the book doesn't seem to be much help to me. I mean its all simple and great in there, but when it comes to actually testing a student on it it just don't make sense!

Answer 38

look at 2nd page it helped me a bit

Answer 39

ohhh it B

Answer 40

becase 5(100 - 3) 100 - 3 is 97 and well its hard to explain

Answer 41

@Atsie

Answer 42

I see you

I'm trying to re-read the second page and make sense outa those examples. 100-3 does equal 97, that sounds more realistic but I'm unsure of what the 5 in that option has to do with it. Or is that just there to give an idea

Answer 43

Sorry.. if you don't trust me its ok, But i really think it is B and it is hard to explain but if you dont believe me.. then.. Ok sorry im not too help full

Answer 44

I believe you, I'm just confused. I sometimes over analyze stuff. I'll go ahead and pick it.

Answer 45

Ugh, I got nine more of these questions left. Oh joy

Answer 46

next one i get it now and its easy

Answer 47

Atsie do you do k12?

Answer 48

Rewrite the expression using the distributive property. 8 ∙ 203

I'm supposed to be in 10th grade but I got held behind. I've never ever been good at math, I'm usually a failure at it heh

Answer 49

ok lemme quikly do it can you put the answeres?

Answer 50

A. 8(20 + 3)
B. (8 + 20)3
C. 8(200 + 3)
D. (800 + 2)3

Its C isn't it?

Answer 51

its C sorry again for direct

Answer 52

Yass, you know what I think you just gave me an idea of what I'm supposed to be doing on this.

Answer 53

Oh, Lol

Answer 54

Ok, I'm stuck again I think

Answer 55

show me the question

Answer 56

Simplify the expression.(4 - 3m) 8

A. 32 - 24m
B. 4 - 24m
C. 24m - 32
D. 24m - 4

Answer 57

im lost..

Answer 58

Is it A

Answer 59

Oh yeah it is!

Answer 60

Cuz 32 - 24 is 8

Answer 61

yeah

Answer 62

next question?

Answer 63

It gets more complicated as I go along

Simplify the expression 4b - 1 + 5b

A. 8b
B. -1b + 1
C. -1b - 1
D. 9b - 1

Answer 64

im lost

Answer 65

sorry but i have to go..

Answer 66

not trying to avoid but i gtg

Answer 67

Bye thanks!

Answer 68

Its ok, I had to go to. Thanks for all your help! I really really appreciate it. I've been stuck for months on end

Answer 69

The numerical examples you are struggling with illustrate how you can use the distributive property to simplify mental arithmetic.

They are trying to show that if you want to multiply two numbers together the distributive property allows you to write one of the numbers as a sum or difference and then distibute the other number over the two terms.