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Which sign makes the statement true?\newline45?5.2-\frac{4}{5} \,?\, 5.2\newlineChoices:\newline(A) >\newline(B) <\newline(C) ==

Full solution

Q. Which sign makes the statement true?\newline45?5.2-\frac{4}{5} \,?\, 5.2\newlineChoices:\newline(A) >>\newline(B) <<\newline(C) ==
  1. Convert to fraction: Convert 5.25.2 to a fraction for easier comparison.\newline5.25.2 can be written as 5210\frac{52}{10}, which simplifies to 265\frac{26}{5}.
  2. Compare fractions: Compare 45-\frac{4}{5} and 265\frac{26}{5}.\newline45-\frac{4}{5} is negative, while 265\frac{26}{5} is positive. A negative number is always less than a positive number.
  3. Choose inequality sign: Choose the correct inequality sign based on the comparison.\newlineSince 45-\frac{4}{5} (a negative number) is less than 265\frac{26}{5} (a positive number), the correct sign is <.

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