Questions: Convert the number to scientific notation. 0.0000000000002459 light years 2.46 × 10^16 light years 2.46 × 10^-13 light years 2.46 × 10^-12 light years

Convert the number to scientific notation.

0.0000000000002459 light years

2.46 × 10^16 light years
2.46 × 10^-13 light years
2.46 × 10^-12 light years

Transcript text: Convert the number to scientific notation. \[ 0.0000000000002459 \text { light years } \] $2.46 \times 10^{16}$ light years $2.46 \times 10^{-13}$ light years $2.46 \times 10^{-12}$ light years

Solution

Solution Steps

Step 1: Identify the Given Number

The given number is $0.0000000000002459$ light years.

Step 2: Convert to Scientific Notation

To convert the number to scientific notation, we need to express it in the form $a \times 10^n$, where $1 \leq a < 10$ and $n$ is an integer.

Move the decimal point to the right until only one non-zero digit remains to the left of the decimal point. In this case, move the decimal point 13 places to the right:

\[ 2.459 \]
Since we moved the decimal point 13 places to the right, the exponent $n$ will be $-13$.
Therefore, the number in scientific notation is:

\[ 2.459 \times 10^{-13} \]

Step 3: Round to Four Significant Digits

The number $2.459$ already has four significant digits, so no further rounding is necessary.