Question
If the decimals \( 0.2591,0.206 \), and 0.26 are arranged on a typical horizontal number line, which is furthest to the left? The number
Ask by Coles Rodriguez. in the United States
Mar 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The number \(0.206\) is the smallest and is furthest to the left on the number line.
Solution
We compare the numbers by aligning their decimal digits:
1. \(0.2591\)
2. \(0.206\)
3. \(0.26\) (which is equivalent to \(0.260\))
We compare digit by digit from the left:
- The whole number part for all is \(0\).
- The tenths digit for each is:
- \(0.2591\): \(2\)
- \(0.206\): \(2\)
- \(0.260\): \(2\)
- Now, the hundredths digit:
- \(0.2591\): \(5\)
- \(0.206\): \(0\)
- \(0.260\): \(6\)
Since \(0 < 5\) and \(0 < 6\), the number with the hundredths digit \(0\) is the smallest.
Thus, the number furthest to the left is \(\boxed{0.206}\).
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Simplify this solution Extra Insights
To determine which decimal is furthest to the left on a number line, we need to compare the values of the decimals. First, let's write out the decimals clearly: - \(0.2591\) - \(0.206\) - \(0.26\) (which is equivalent to \(0.2600\)) Now, comparing them: - \(0.206\) is less than both \(0.26\) and \(0.2591\). - \(0.26\) is less than \(0.2591\). Thus, \(0.206\) is the smallest and therefore furthest to the left on the number line.
