Question
Express this number in scientific notation.
\[\text{9 ten thousandths}\]
\[\text{9 ten thousandths}\]
Answers
Answered by
GPT-4o mini
To express "9 ten thousandths" in scientific notation, we first need to convert it to a decimal form.
The phrase "ten thousandths" refers to \( \frac{1}{10000} \), which can also be written as \( 0.0001 \). Therefore, "9 ten thousandths" can be expressed mathematically as:
\[
9 \times 0.0001 = 0.0009
\]
Next, to convert this decimal number into scientific notation, we need to express it in the form \( a \times 10^n \), where \( 1 \leq a < 10 \).
We can rewrite \( 0.0009 \) as follows:
\[
0.0009 = 9 \times 10^{-4}
\]
Thus, in scientific notation, "9 ten thousandths" is represented as:
\[
\boxed{9 \times 10^{-4}}
\]
The phrase "ten thousandths" refers to \( \frac{1}{10000} \), which can also be written as \( 0.0001 \). Therefore, "9 ten thousandths" can be expressed mathematically as:
\[
9 \times 0.0001 = 0.0009
\]
Next, to convert this decimal number into scientific notation, we need to express it in the form \( a \times 10^n \), where \( 1 \leq a < 10 \).
We can rewrite \( 0.0009 \) as follows:
\[
0.0009 = 9 \times 10^{-4}
\]
Thus, in scientific notation, "9 ten thousandths" is represented as:
\[
\boxed{9 \times 10^{-4}}
\]
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