Questions: Question 1 of 5 Write the number 0.00000024 using scientific notation.

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.
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Solution

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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: \[ 0.00000024 = 2.4 \times 10^{-7} \]

Final Answer

\(\boxed{2.4 \times 10^{-7}}\)

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