Question

The goal for each is to determine why the product is larger or smaller than the first factor.

Use manipulatives of your choice to investigate and determine the product.

Create a written representation, such as an array, to show your results.

Use words and numbers to explain whether the product is larger or smaller than the underlined number and why

16x 2/2


I will give medal

Answer 1

can you answer the question

Answer 2

What numbers are you working with here? (what is the first factor?)

Answer 3

We can't answer the question for you, but we can work together to help you get the answer.

Answer 4

that is what I don't understand

Answer 5

Well it says the goal is to determine why the product is larger or smaller than the first factor. What numbers are they talking about?

Answer 6

16 x 2/2

Answer 7

Ok. They may be speaking abstractly.
Then can you explain what 16x2/2 means?

Answer 8

The directions say "explain why 16x2/2" Explain why 16x2/2 what?

Answer 9

16 multiplied by \[\frac{ 2 }{2}\]

Answer 10

Ok, but what does it want us to explain?

Answer 11

its says: "Use words and numbers to explain whether the product is larger or smaller than the underlined number and why" right?

Answer 12

yes

Answer 13

Ok. And is 16 the underlined number?

Answer 14

none of the numbers are underlined

Answer 15

Right. Then let's start!
Do you know what 16*2/2 is?

Answer 16

16

Answer 17

right - Is that larger, smaller than, or equal to 2/2?

Answer 18

why 2/2 why not 16

Answer 19

because I thought that was the number they wanted to know if the product is smaller than or greater than

Answer 20

it says the underlined and their is no underlined

Answer 21

jim_thompson5910 also help

Answer 22

Alright. Are there any problems with an underlined number?

Answer 23

no

Answer 24

Ok. Do you have an idea of what the question is asking you to find?

Answer 25

Well it seems like the question wants you to learn how you can tell if a product is going to be larger or smaller than the original number.
So let's talk about that.

Answer 26

Something just seems off about this problem. I'm not sure what and I'm still thinking it over.

Answer 27

no that's why I put the question

Answer 28

are you trying to find 16 x 2 or 16 x 2 over 2 ?

Answer 29

Are you sure the problem didn't get cut off? Because it ended rather abruptly

Answer 30

16 x 2 over 2

Answer 31

I think my teacher made a mistake

Answer 32

Probably. Do you know what the problem is supposed to say?

Answer 33

no

Answer 34

Well let's make sure you understand the concept of the problem, and then you can ask your teacher what they meant.
When we multiplied 2*96, we knew the product would be larger than 2, but when we multiplied 2* (1/5), we knew the product would be smaller than 2
How did we know this without doing the calculations?

Answer 35

no

Answer 36

Well let's think about this...
If we multiply a number by 1, what happens?

Answer 37

we get the other number answer

Answer 38

Right. So maybe that should be our base point.
What happens if you multiply 5 times a number smaller than 1?

Answer 39

I don't know

Answer 40

Well, it would give a number smaller than 5, right?

Answer 41

yes

Answer 42

And what if we multiplied 5 by a number bigger than 1 it would give the answer above 5, correct?

Answer 43

So how do we know if the product is going to be bigger or smaller than the original number?

Answer 44

give greater than 5

Answer 45

Well that's what it will give us, but we want to know if it is multiplied by a number greater than or less than __

Answer 46

I'm not really sure what the question is asking. But to know if a product will be bigger or smaller than the original number, you need to know whether the number you are multiplying by is greater than or less than 1.

Good luck! :]

Answer 47

jim_thompson5910 please help