To express the number 893,000,000 in scientific notation, we need to write it in the form of \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.
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First, we write 893,000,000 in standard decimal form: \( 893,000,000 = 893 \times 10^6 \).
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Now, we need to convert 893 into a form where \( a \) is between 1 and 10. This can be done by moving the decimal point two places to the left:
\[ 893 = 8.93 \times 10^2 \]
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Now substituting back, we have:
\[ 893,000,000 = (8.93 \times 10^2) \times 10^6 \]
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When multiplying the powers of ten, we add the exponents:
\[ 10^2 \times 10^6 = 10^{2 + 6} = 10^8 \]
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Therefore, we can write
\[ 893,000,000 = 8.93 \times 10^8 \]
In scientific notation, this number is:
\[ 8.93 \times 10^8 \]