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Estimate. Which sign makes the statement true?\newline259?4,374÷958259 \, ? \, 4,374 \, \div \, \frac{95}{8}\newlineChoices:\newline(A) >\newline(B) <

Full solution

Q. Estimate. Which sign makes the statement true?\newline259?4,374÷958259 \, ? \, 4,374 \, \div \, \frac{95}{8}\newlineChoices:\newline(A) >>\newline(B) <<
  1. Convert to multiplication: Calculate the division and multiplication in the expression 4,374÷9584,374 \div \frac{95}{8}. First, convert the division of fractions to multiplication: 4,374×8954,374 \times \frac{8}{95}.
  2. Perform multiplication: Perform the multiplication: 4,374×8=34,9924,374 \times 8 = 34,992.
  3. Divide by 9595: Now divide 34,99234,992 by 9595. 34,992÷95368.33734,992 \div 95 \approx 368.337.
  4. Compare for inequality: Compare 259259 with 368.337368.337 to determine the correct inequality sign. Since 259259 is less than 368.337368.337, the correct sign is '<'.