Word Problems of Comparing and Ordering Rational Numbers

Word Problems of Comparing and Ordering Rational Numbers

Word problems are utilized to understand comparing and ordering rational numbers betters.

Word Problems of Comparing and Ordering Rational Numbers – Examples 1

Sam and Timothy just hiked towards each other in a 4-mile walk. Sam hikes it in 2.5 hours, and Timothy hikes it in \(1 \frac{4}{5}\) hours. Who has been on the road the most?
Solutions:
Step 1: Write 2.5 as a mixed number: \(2.5→2 \frac{1}{2}\)
Step 2: Now compare the numbers. \(2 \frac{1}{2}>1 \frac{4}{5}\)
Sam has been on the road the most.

Word Problems of Comparing and Ordering Rational Numbers – Examples 2

Liam heard that it snowed 9.4 inches, and Mason heard that it snowed \(9 \frac{3}{5}\) inches. Who heard that it snowed less?
Solutions:
Step 1: Write 9.4 as a mixed number. \(9.4→9 \frac{2}{5}\)
Step 2: Now compare the numbers. \(9 \frac{2}{5}<9 \frac{3}{5}\)
Liam heard that it snowed less.

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