Question
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11 Stefon soys. When I round 16.51 and 17.49 to the nearest whole number, the onswer is the some. When I round 16.51 and 17.49 to the nearest tenth, the difference between the onswers is one. Exploin why Stefon is correct.

Ask by Ryan Mathis. in South Africa
Jan 21,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

Stefon is correct because both 16.51 and 17.49 round to 17 when rounded to the nearest whole number, and their rounded values differ by 1 when rounded to the nearest tenth.

Solution

Let's analyze Stefon's statements step by step. 1. **Rounding to the nearest whole number:** - For \(16.51\): - The digit in the tenths place is \(5\), which means we round up. - Therefore, \(16.51\) rounds to \(17\). - For \(17.49\): - The digit in the tenths place is \(4\), which means we round down. - Therefore, \(17.49\) rounds to \(17\). So, when rounded to the nearest whole number, both \(16.51\) and \(17.49\) round to \(17\). This confirms Stefon's first statement. 2. **Rounding to the nearest tenth:** - For \(16.51\): - The digit in the hundredths place is \(1\), which means we do not round up. - Therefore, \(16.51\) rounds to \(16.5\). - For \(17.49\): - The digit in the hundredths place is \(9\), which means we round up. - Therefore, \(17.49\) rounds to \(17.5\). Now, we find the difference between the two rounded values: \[ 17.5 - 16.5 = 1 \] This confirms Stefon's second statement that the difference between the rounded answers is one. ### Conclusion Stefon is correct because: - Both numbers round to the same whole number \(17\). - The difference between their rounded values to the nearest tenth is \(1\). Thus, the statements made by Stefon are accurate based on the rules of rounding.

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Extra Insights

When rounding to the nearest whole number, both 16.51 and 17.49 round to 17. This is because 16.51 is closer to 17 than it is to 16, and 17.49 is also closer to 17 than to 18. Hence, Stefon's statement that both numbers round to the same whole number is spot on! However, when rounding to the nearest tenth, 16.51 becomes 16.5 and 17.49 becomes 17.5. The difference between these two rounded values (17.5 - 16.5) is indeed 1. Therefore, Stefon’s observation on how rounding works at different precision levels is both insightful and accurate!

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