Question

Determine if the number is written in scientific notation. if not, explain 32 * 10^4.

A. No; it is not written as a power of 10
B. No; the first factor is not a number between 1 and 10
C. Yes; the number is written in scientific notation

Answer 1

B

Answer 2

a number written in scientific notation has to be:
\(\large\color{black}{ \displaystyle {\rm number}~\times ~10^{{\rm n}} }\)

where,
1. \(\large\color{black}{ \displaystyle 0> {\rm number}>10}\)
2. \(\large\color{black}{ {\rm n}~~~~~is~~an~~integer. }\)

Answer 3

so this "number" (I will refer to it, as the "base") has to be between 0 and 10 as indicated, for this to be a properly written scientific notation.

is 32 between 0 and 10?

Answer 4

I didn't say that

Answer 5

n (in the exponent) has to be an integer.
"number" can be a non integer.

Answer 6

No, 32 is not between 0 and 10

Answer 7

Yes, I know. My bad :)

Answer 8

Yes, exactly, so what is YOUR answer?

Answer 9

B

Answer 10

yes, it is correct.

Answer 11

it is multiplied times 10^(some power) so that requirement it does pass...

Answer 12

For optional... can you tell me how you would write it properly in order for it to be a scientific notation?

Answer 13

if you don't know, you can just go ahead and say so...

Answer 14

For it to be in Scientific Notation, the 32 would have to be a number between 0-10

Answer 15

yes, and you know that:
\(\large\color{black}{ \displaystyle 32\times 10^4 }\) is \(\large\color{black}{ \displaystyle 320,000}\)

So, \(\large\color{black}{ \displaystyle 32\times 10^4 }\) would be same as \(\large\color{black}{ \displaystyle 3.2\times 10^5 }\)
you are multiplying times 10 by the \(\large\color{black}{ \displaystyle 10^4 }\) and dividing by 10 by \(\large\color{black}{ \displaystyle 3.2 }\).

Answer 16

So you aren't changing the value by dividing by 10 and multiplying by 10.

Answer 17

and 3.2 satisfies the statement 0>3.2>10

Answer 18

Oh, now I get it, thanks

Answer 19

good. You wlecome!