Question
It is approximately 420,464,000 yards from earth to the moon. Which answer below shows the best estimate for the distance to the moon in yards? Answering scientific notation
Answers
Answered by
GPT-4o mini
To express the distance to the moon (approximately 420,464,000 yards) in scientific notation, we need to convert it into the format of \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.
1. Move the decimal point in 420,464,000 to the left until only one non-zero digit remains to the left of the decimal point. This gives us \( 4.20464 \).
2. Count how many places you moved the decimal point. In this case, you move it 8 places to the left.
3. Therefore, we can write this as:
\[
4.20464 \times 10^8
\]
Thus, the best estimate for the distance to the moon in scientific notation is approximately \( 4.2 \times 10^8 \) yards if we round \( 4.20464 \) to one significant figure.
1. Move the decimal point in 420,464,000 to the left until only one non-zero digit remains to the left of the decimal point. This gives us \( 4.20464 \).
2. Count how many places you moved the decimal point. In this case, you move it 8 places to the left.
3. Therefore, we can write this as:
\[
4.20464 \times 10^8
\]
Thus, the best estimate for the distance to the moon in scientific notation is approximately \( 4.2 \times 10^8 \) yards if we round \( 4.20464 \) to one significant figure.
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