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Which sign makes the statement true?\newline896?8.96×102896 \, ? \, 8.96 \times 10^2\newlineChoices:\newline(A) >\newline(B) <\newline(C) ==

Full solution

Q. Which sign makes the statement true?\newline896?8.96×102896 \, ? \, 8.96 \times 10^2\newlineChoices:\newline(A) >>\newline(B) <<\newline(C) ==
  1. Understand the problem: Understand the problem.\newlineWe need to compare two numbers: 896896 and 8.96×1028.96 \times 10^2. We need to determine which mathematical sign (>, <, or ==) correctly represents the relationship between these two numbers.
  2. Convert to standard form: Convert the scientific notation to standard form. \newline8.96×1028.96 \times 10^2 means 8.968.96 multiplied by 1010 squared (102=10010^2 = 100).\newlineSo, 8.96×102=8.96×100=8968.96 \times 10^2 = 8.96 \times 100 = 896.
  3. Compare the numbers: Compare the two numbers.\newlineNow we compare 896896 and 896896.\newline896?896896 ? 896\newlineSince both numbers are equal, the correct sign is "==".

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