is 34/73 closest to -1, -1/2, 0, 1/2 or 1

To determine which of the values \(-1\), \(-\frac{1}{2}\), \(0\), \(\frac{1}{2}\), or \(1\) is closest to \(\frac{34}{73}\), we first approximate \(\frac{34}{73}\).

1. \(\frac{34}{73} \approx 0.4658\)

Now, let's compare \(\frac{34}{73}\) with the given numbers:

- \(-1 = -1\)
- \(-\frac{1}{2} = -0.5\)
- \(0 = 0\)
- \(\frac{1}{2} = 0.5\)
- \(1 = 1\)

The value \(\frac{34}{73} \approx 0.4658\) is closest to \( \frac{1}{2} = 0.5\).

So, the closest value is \( \frac{1}{2} \).

Would you like further details or explanations?

Here are 5 related questions to explore further:
1. How can we calculate fractions to higher precision?
2. What are the steps to compare fractions with decimals?
3. How can we graphically represent these values on a number line?
4. What are some techniques to quickly estimate the value of a fraction?
5. How can we determine the proximity of two numbers mathematically?

**Tip:** When comparing fractions, converting them to decimals or using a number line can make comparisons easier.

Explore how to determine which value among -1, -1/2, 0, 1/2, or 1 is closest to the fraction 34/73. Understand the comparison process using decimal approximations and number line representation. Suitable for students in Grades 5-8.

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