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directions: circle the largest number in the group. 9.01×10² 1.5×10⁴ 3.…

Question

directions: circle the largest number in the group. 9.01×10² 1.5×10⁴ 3.124×10⁶ 5.689×10³

Explanation:

Step1: Analyze the exponents of 10

Compare the exponents in \(9.01\times10^{2}\) (\(2\)), \(1.5\times10^{4}\) (\(4\)), \(3.124\times10^{6}\) (\(6\)), \(5.689\times10^{3}\) (\(3\)). Since \(6>4 > 3>2\).

Step2: Confirm the number with the largest exponent

When comparing numbers in scientific notation \(a\times10^{n}\) (\(1\leqslant a<10\)), the larger the exponent \(n\), the larger the number.

Answer:

\(3.124\times 10^{6}\)