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Answer :
To write 0.0000000043 in scientific notation, follow these steps:
1. Identify the Significant Figures: First, identify the non-zero significant figures in the number. In this case, it's 4.3.
2. Determine the Decimal Placement: In scientific notation, we want only one non-zero digit to the left of the decimal. So, we position the decimal right after the first significant digit, making it 4.3.
3. Count the Decimal Places Moved: Count how many places you need to move the original decimal point to reach the new position (after the 4). Starting from 0.0000000043, you count 9 places to the right to reach 4.3.
4. Write in Scientific Notation: Since you moved the decimal 9 places to the right, the exponent of 10 will be negative. The format in scientific notation is:
[tex]\[
4.3 \times 10^{-9}
\][/tex]
Therefore, 0.0000000043 can be written in scientific notation as [tex]\( 4.3 \times 10^{-9} \)[/tex].
The correct answer is:
B. [tex]\( 4.3 \times 10^{-9} \)[/tex]
1. Identify the Significant Figures: First, identify the non-zero significant figures in the number. In this case, it's 4.3.
2. Determine the Decimal Placement: In scientific notation, we want only one non-zero digit to the left of the decimal. So, we position the decimal right after the first significant digit, making it 4.3.
3. Count the Decimal Places Moved: Count how many places you need to move the original decimal point to reach the new position (after the 4). Starting from 0.0000000043, you count 9 places to the right to reach 4.3.
4. Write in Scientific Notation: Since you moved the decimal 9 places to the right, the exponent of 10 will be negative. The format in scientific notation is:
[tex]\[
4.3 \times 10^{-9}
\][/tex]
Therefore, 0.0000000043 can be written in scientific notation as [tex]\( 4.3 \times 10^{-9} \)[/tex].
The correct answer is:
B. [tex]\( 4.3 \times 10^{-9} \)[/tex]
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