Questions: Question 1 of 5
Write the number 0.00000024 using scientific notation.
Transcript text: Question 1 of 5
Write the number 0.00000024 using scientific notation.
Solution
Solution Steps
To convert a number to scientific notation, we need to express it in the form of \( a \times 10^b \), where \( 1 \leq a < 10 \) and \( b \) is an integer. For the given number, we count the number of places the decimal point needs to move to the right to get a number between 1 and 10.
Step 1: Convert to Scientific Notation
To express the number \( 0.00000024 \) in scientific notation, we need to rewrite it in the form \( a \times 10^b \), where \( 1 \leq a < 10 \).
Step 2: Identify \( a \) and \( b \)
We can move the decimal point 7 places to the right to convert \( 0.00000024 \) into \( 2.4 \). Thus, we have:
\[
a = 2.4 \quad \text{and} \quad b = -7
\]
Step 3: Write the Final Expression
Combining these values, we can express the number in scientific notation as:
\[
0.00000024 = 2.4 \times 10^{-7}
\]