which of these five numbers is closest to 4.7? a) 4.5 b) 4.8 c) 4.62 d) 4.7264 e) 4.68834

To find which of the given numbers is closest to 4.7, we can calculate the absolute differences between 4.7 and each number:

1. \( |4.7 - 4.5| = 0.2 \)
2. \( |4.7 - 4.8| = 0.1 \)
3. \( |4.7 - 4.62| = 0.08 \)
4. \( |4.7 - 4.7264| = 0.0264 \)
5. \( |4.7 - 4.68834| = 0.01166 \)

Comparing these differences, the smallest value is \( 0.01166 \), which corresponds to **4.68834**. 

Thus, the number closest to 4.7 is **e) 4.68834**.

Would you like any further details or explanations? Here are some related questions you might consider:

1. What are the steps to calculate absolute differences?
2. How can we determine proximity in a larger set of numbers?
3. What is the significance of rounding in such comparisons?
4. How can we visualize the distances between these numbers on a number line?
5. What other methods can we use to compare numbers in mathematical problems? 

**Tip:** Always check the absolute difference when comparing numbers to determine which one is closest to a target value.

Discover how to determine which of the numbers 4.5, 4.8, 4.62, 4.7264, and 4.68834 is closest to 4.7. This problem illustrates the use of absolute differences to compare values effectively. Suitable for students in Grades 5-7.

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