What is the decimal form of 3.47 x 10 to the negative fourth power?

What is the decimal form of 3.47 x 10 to the negative fourth power?

• A. 0.0347
• B. 0.347
• C. 0.00347
• D. 0.000347

Answer: (D)

To convert the scientific notation \(3.47 \times 10^{-4}\) into decimal form, you need to understand what the exponent signifies. The negative exponent indicates that the decimal point will be moved to the left. In this case, you move the decimal point four places to the left from its original position in the number \(3.47\). Starting with \(3.47\), if you move the decimal point four places left, you go past the digits and into zeros. Following this process: 1. From \(3.47\), moving one place left gives you \(0.347\). 2. Moving a second place left gives you \(0.0347\). 3. Moving a third place left gives you \(0.00347\). 4. Finally, moving a fourth place left results in \(0.000347\). Thus, the decimal form of \(3.47 \times 10^{-4}\) is \(0.000347\). This matches the answer choice identified, confirming that it is indeed the correct conversion from scientific notation to decimal form.

To convert the scientific notation (3.47 \times 10^{-4}) into decimal form, you need to understand what the exponent signifies. The negative exponent indicates that the decimal point will be moved to the left. In this case, you move the decimal point four places to the left from its original position in the number (3.47).

Starting with (3.47), if you move the decimal point four places left, you go past the digits and into zeros. Following this process:

1. From (3.47), moving one place left gives you (0.347).

2. Moving a second place left gives you (0.0347).

3. Moving a third place left gives you (0.00347).

4. Finally, moving a fourth place left results in (0.000347).

Thus, the decimal form of (3.47 \times 10^{-4}) is (0.000347). This matches the answer choice identified, confirming that it is indeed the correct conversion from scientific notation to decimal form.