To determine if \(10 \frac{9}{10}\) and \(-3.5\) are close to or equal to \(9\), let's first convert \(10 \frac{9}{10}\) to an improper fraction or a decimal.
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Convert \(10 \frac{9}{10}\): \[ 10 \frac{9}{10} = 10 + \frac{9}{10} = 10 + 0.9 = 10.9 \]
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Now we have:
- \(10 \frac{9}{10} = 10.9\)
- \(-3.5\)
Next, we compare \(10.9\) and \(-3.5\) with \(9\):
- \(10.9\) is much greater than \(9\).
- \(-3.5\) is less than \(9\).
To evaluate "close to" in a numerical sense:
- If we consider "close" to mean within a difference of, say, \(1\) unit:
- The difference between \(10.9\) and \(9\) is \(10.9 - 9 = 1.9\).
- The difference between \(-3.5\) and \(9\) is \(9 - (-3.5) = 12.5\).
Neither value is close to \(9\) within a difference of \(1\). Therefore, \(10 \frac{9}{10}\) and \(-3.5\) are not close to or equal to \(9\).
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