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Estimate. Which sign makes the statement true?\newline3?23×83 \, ? \, \frac{2}{3} \times 8\newlineChoices:\newline(A) >\newline(B) <\newline(C) ==

Full solution

Q. Estimate. Which sign makes the statement true?\newline3?23×83 \, ? \, \frac{2}{3} \times 8\newlineChoices:\newline(A) >>\newline(B) <<\newline(C) ==
  1. Calculate multiplication result: Calculate 23\frac{2}{3} multiplied by 88. \newline23×8=163\frac{2}{3} \times 8 = \frac{16}{3}.
  2. Compare fractions: Compare 33 with 163\frac{16}{3}. \newlineConvert 33 to a fraction: 3=933 = \frac{9}{3}. \newlineNow compare 93\frac{9}{3} with 163\frac{16}{3}.
  3. Determine inequality sign: Determine the correct inequality sign. Since 93\frac{9}{3} (which is 33) is less than 163\frac{16}{3}, the correct sign is <.