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Which sign makes the statement true? \( 0.71 ? 70 \% \)

Ask by Tucker Morrison. in the United States
Jan 23,2025

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Answer

The correct sign is “greater than” (>), since 0.71 is larger than 70%.

Solution

To determine which comparison sign makes the statement \( 0.71 \, ? \, 70\% \) true, let's first convert both values to the same format. 1. **Convert 70% to a decimal:** \[ 70\% = \frac{70}{100} = 0.70 \] 2. **Compare the two decimal values:** \[ 0.71 \quad \text{and} \quad 0.70 \] 3. **Determine the relationship:** \[ 0.71 > 0.70 \] So, the correct comparison sign is **greater than ( > )**. ### Final Statement: \[ 0.71 \, > \, 70\% \] **Answer:** The correct sign is “greater than” (>), since 0.71 is larger than 70 %.

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The Deep Dive

To determine the correct sign for the inequality \( 0.71 ? 70 \% \), we first need to convert \( 70 \% \) to its decimal form. Since \( 70 \% \) is equivalent to \( 0.70 \), we can now compare \( 0.71 \) and \( 0.70 \). Since \( 0.71 \) is greater than \( 0.70 \), the correct sign is \( > \). So, \( 0.71 > 70 \% \). Now, let's dive a little deeper! This statement not only showcases the relationship between decimals and percentages, but also emphasizes how often we encounter these conversions in everyday life, like shopping discounts or budget planning. It's a fun reminder that understanding these concepts makes it easier to make informed financial decisions. Moreover, remember that comparing decimals and percentages is a common task in various fields like finance, academics, and even everyday scenarios. A common mistake is forgetting to convert percentages to decimals, leading to incorrect comparisons. A quick tip is always to double-check that both values are in the same format before making a conclusion!

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