could someone help me with math?

Question

The number 0.403×10^2 is not in scientific notation because 0.403 is not between 1 and 10. Write 0.403×10^2 in scientific notation.

Answer 1

you want to adjust the number so that the coefficient is in between 1 and 10 .... which in this case means moving the decimal point one spot to the right to move the number from 0.403 to 4.03

the corresponding move then is to decrease the exponent of 10 by 1 so it goes from 10^2 to 10^1

putting it all together then we have

4.03 x 10^1

Answer 2

0.403 = 4.03 x 10^-1

 

so,

0.403 x 10^2 =

4.03 x 10^-1 x 10^2 =

4.03 x 10^(-1 + 2) =

 

4.03 x 10^1