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Which sign makes the statement true?\newline2.5×1012.5 \times 10^1 ?\text{?} 2.15×1022.15 \times 10^2\newlineChoices:\newline(A) >\newline(B) <\newline(C) ==

Full solution

Q. Which sign makes the statement true?\newline2.5×1012.5 \times 10^1 ?\text{?} 2.15×1022.15 \times 10^2\newlineChoices:\newline(A) >>\newline(B) <<\newline(C) ==
  1. Identify values: Step 11: Identify the values given.\newlineWe have 2.5×1012.5 \times 10^1 and 2.15×1022.15 \times 10^2.\newlineRewrite them in standard form for clarity:\newline2.5×101=252.5 \times 10^1 = 25,\newline2.15×102=2152.15 \times 10^2 = 215.
  2. Rewrite in standard form: Step 22: Compare the two numbers.\newlineSince 2525 and 215215 are both positive, we compare their magnitudes.\newline25?21525 ? 215.\newlineClearly, 2525 is less than 215215.

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