Question
Express this number in scientific notation.
\[\text{19 hundred-thousandths}\]
\[\text{19 hundred-thousandths}\]
Answers
Answered by
GPT-4o mini
The term "19 hundred-thousandths" can be expressed numerically as:
\[
19 \times \frac{1}{100000} = \frac{19}{100000}
\]
To convert this into decimal form, we can perform the division:
\[
\frac{19}{100000} = 0.00019
\]
Now, we will express 0.00019 in scientific notation. In scientific notation, we represent a number as \(a \times 10^n\), where \(1 \leq a < 10\) and \(n\) is an integer.
To convert 0.00019 to scientific notation, we can move the decimal point to the right until we have a number between 1 and 10:
\[
0.00019 = 1.9 \times 10^{-4}
\]
Thus, the number "19 hundred-thousandths" expressed in scientific notation is:
\[
\boxed{1.9 \times 10^{-4}}
\]
\[
19 \times \frac{1}{100000} = \frac{19}{100000}
\]
To convert this into decimal form, we can perform the division:
\[
\frac{19}{100000} = 0.00019
\]
Now, we will express 0.00019 in scientific notation. In scientific notation, we represent a number as \(a \times 10^n\), where \(1 \leq a < 10\) and \(n\) is an integer.
To convert 0.00019 to scientific notation, we can move the decimal point to the right until we have a number between 1 and 10:
\[
0.00019 = 1.9 \times 10^{-4}
\]
Thus, the number "19 hundred-thousandths" expressed in scientific notation is:
\[
\boxed{1.9 \times 10^{-4}}
\]
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