Question
The mass of a newborn kitten is 0.0943 kilograms.
How is this number written in scientific notation?
Responses
A 9.43 x 1029.43 x 10 2
B 94.3 x 10-394.3 x 10 -3
C 9.43 x 10-19.43 x 10 -1
D 9.43 x 10-2
How is this number written in scientific notation?
Responses
A 9.43 x 1029.43 x 10 2
B 94.3 x 10-394.3 x 10 -3
C 9.43 x 10-19.43 x 10 -1
D 9.43 x 10-2
Answers
GPT-4o mini
To write the mass of the newborn kitten, 0.0943 kilograms, in scientific notation, we need to express it in the form \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.
1. Move the decimal point in 0.0943 to the right until it is between the first and second digits, which gives us 9.43.
2. Since we moved the decimal point two places to the right to get from 0.0943 to 9.43, we will use a negative exponent for the power of 10.
This means we can express 0.0943 as:
\[ 9.43 \times 10^{-2} \]
So, the correct answer is:
**D: 9.43 x 10^-2**
1. Move the decimal point in 0.0943 to the right until it is between the first and second digits, which gives us 9.43.
2. Since we moved the decimal point two places to the right to get from 0.0943 to 9.43, we will use a negative exponent for the power of 10.
This means we can express 0.0943 as:
\[ 9.43 \times 10^{-2} \]
So, the correct answer is:
**D: 9.43 x 10^-2**