Question

Question #59a15

Answer 1

`4.5375xx10^1`

Explanation:

`3/8=0.375`

`rArr45 3/8=45.375`

A number expressed in `color(blue)"scientific notation"` has the form.

`color(red)(bar(ul(|color(white)(2/2)color(black)(axx10^n)color(white)(2/2)|)))`
where `1<=a<10" and n is an integer"`

Expressing 45.375 in this form means writing the number as a value between 1 and 10

`rArr45.375to4.5375`

and to get the decimal point back to where it should be means multiplying by 10

`rArr4.5375xx10=45.375larrcolor(red)" the original value"`

`rArr45 3/8=45.375=4.5375xx10^1" in scientific notation"`