Question

261 grams to kg ( Use scientific notation and units to answer)

Answer 1

So we have 261.0

How many times are we moving over the decimal point?

Answer 2

2?

Answer 3

Yes, so each time we move the decimal point back we're pulling out a factor of 10

So that means we were going from

261

= 26.1 * 10

= 2.61 * 10 * 10

Answer 4

Scientific notation is writing a number as \(a \times 10^n\) and a has to be a number between 0 and 9

Answer 5

How can you write 10*10 as an exponent?

Answer 6

wait so what would the unit be after that

Answer 7

oh you're right, that completely slipped my mind

I was just trying to write it in scientific notation

Answer 8

Do you know how many grams make up 1 kilogram?

Answer 9

1000

Answer 10

Yes! So to convert from grams to kg, we have to divide by 1000

What is 261/1000 = ?

Answer 11

0.261

Answer 12

so 261 grams = 0.261 kg

Now w need to write 0.261 kg in scientific notation

Answer 13

Remember what I said earlier

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
Scientific notation is writing a number as \(a \times 10^n\) and a has to be a number between 0 and 9
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 14

We need to write 0.261 as 2.61 * 10^something

Does that make sense so far?

Answer 15

yes

Answer 16

We have to move the decimal one over to the right to make it 2.61

So in case you don't know

10^(-1) = 1/10 = 0.1
10^0 = 1
10^1 = 10

So we have

0.261 * 10^0

and we're moving the decimal point to the left, so the exponent will decrease by 1

so 2.61 * 10^what

what is 0-1?

This image might help you see it better too

Answer 17

0 - 1 = -1

Answer 18

so

0.261 * 10^0

is the same as

2.61 * 10^(-1)

Answer 19

And that's your answer in kg written in scientific notation

Answer 20

Ok and do i write Kg after that for the unit since it was converted?

Answer 21

Yes!

Answer 22

ok thank you so much

Answer 23

It was my pleasure!