Question

Express in scientific notation. Make sure your answer has the same number of significant figures as the starting value.

61,103 = _____

6.11 x 104
6.1103 x 104
6 x 104

Answer 1

it has 5 digits so the exponent of 10 will be 4:-
61,103 =
6.1103 x 10^4

B

Answer 2

Answer : The correct option is,
`6.1103* 10^4`

Explanation :

Scientific notation : It is the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.

For example :

2000 is written as
`2.0* 10^3`

879.9 is written as
`8.799* 10^(-2)`

In this examples, 2000 and 879.9 are written in the standard notation and
`2.0* 10^3` and
`8.799* 10^(-2)` are written in the scientific notation.

As we are given that the number is, 61103

In the given number, there are 5 significant figures. So, the answer should be in 5 significant figures.

This number is written in scientific notation that has the same number of significant figures as :

`6.1103* 10^(4)`

In this notation, the number of significant figures are, 5

Hence, the correct option is,
`6.1103* 10^4`