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choose the larger number: $5.9 \\cdot 10^5$ $6.5 \\cdot 10^4$

Question

choose the larger number:
$5.9 \cdot 10^5$
$6.5 \cdot 10^4$

Explanation:

Step1: Convert to standard form

Convert \(5.9 \cdot 10^{5}\) to standard form: \(5.9 \times 100000 = 590000\).
Convert \(6.5 \cdot 10^{4}\) to standard form: \(6.5 \times 10000 = 65000\).

Step2: Compare the two numbers

Compare \(590000\) and \(65000\). Since \(590000>65000\), \(5.9 \cdot 10^{5}\) is larger.

Answer:

\(5.9 \cdot 10^{5}\)