Question
The average weight of one of Molly’s newborn Shar-Pei puppies was 593.7 grams.
How is this number written in scientific notation?
Responses
A 5.937 x 10-25.937 x 10 -2
B 5.937 x 1035.937 x 10 3
C 5.937 x 1025.937 x 10 2
D 59.37 x 101
How is this number written in scientific notation?
Responses
A 5.937 x 10-25.937 x 10 -2
B 5.937 x 1035.937 x 10 3
C 5.937 x 1025.937 x 10 2
D 59.37 x 101
Answers
GPT-4o mini
To convert the weight of Molly's newborn Shar-Pei puppies, which is 593.7 grams, into scientific notation, you want to express it in the form \( a \times 10^b \), where \( 1 \leq a < 10 \) and \( b \) is an integer.
Starting with the number 593.7:
1. Move the decimal point two places to the left so that the number falls between 1 and 10. This gives us:
\( 5.937 \).
2. Since we moved the decimal two places to the left, we multiply by \( 10^2 \).
Thus, 593.7 can be written as:
\[
5.937 \times 10^2
\]
So the correct answer is:
C) \( 5.937 \times 10^2 \)
Starting with the number 593.7:
1. Move the decimal point two places to the left so that the number falls between 1 and 10. This gives us:
\( 5.937 \).
2. Since we moved the decimal two places to the left, we multiply by \( 10^2 \).
Thus, 593.7 can be written as:
\[
5.937 \times 10^2
\]
So the correct answer is:
C) \( 5.937 \times 10^2 \)