Question

I'm having trouble with convert units of weight and mass. Can you teach me how to do it. My homework have like 5T=___lb what does T stands for in math. ps I'm a 6th grader

Answer 1

T stands for what ? (I would guess ton ?)

Answer 2

I think so I'm not really sure but can you teach me how?

Answer 3

do you know how many lbs (pounds) per ton ?

Answer 4

to do conversions, you need to know that. Your book must tell you ?

Answer 5

Step 1 is to know the "conversion factor", in this case pounds per ton

Answer 6

On my paper 1 ton (ib) = 16 ounces (oz)

Answer 7

1 pound (abbreviated lb) = 16 ounces (oz)

look some more .

Answer 8

Okay thanks

Answer 9

Does your paper have T ?

Answer 10

Oh I see it yes it it

Answer 11

what does it say?

Answer 12

1ton(T)=2,000 what does dg stands for

Answer 13

it should say 1 ton (T) = 2000 pounds (lb)
where does it say dg ?

Answer 14

Nvm I see it lol but can u show me an example

Answer 15

OK you want to "change" 5 tons into pounds
5T=___lb

we will use this idea: anything divided by itself is 1
if we have
\[ ton \cdot \frac{pounds}{ton} \]
then we can use this idea to say ton/ton is 1, and we are left with pounds
\[ \cancel{ton} \cdot \frac{pounds}{\cancel{ton}} = pounds\]

Answer 16

That is the first idea. The second idea is the conversion factor can be written as a fraction

for example:
1 ton = 2000 pounds
we can write this information as
\[ \frac{1 \text{ ton}}{2000 \text{ pounds}} \]
or
\[ \frac{2000 \text{ pounds}}{1 \text{ ton}} \]

Answer 17

Because you want to change tons to pounds, you want to use the second way of writing the fraction (so we can use the first idea)
we write
\[ 5 \text{tons} \cdot \frac{2000 \text{ pounds}}{1 \text{ ton}} \]
"cancel" the tons because ton/ton = 1
\[ 5 \cancel{\text{tons}} \cdot \frac{2000 \text{ pounds}}{1 \cancel{\text{ ton}}} \]
or just
\[ 5 \cdot 2000 \text{ pounds} \]
simplify by doing the multiplication
10,000 pounds