To order the numbers from least to greatest, we first need to convert all values into their absolute forms and evaluate them:
- \(-2\) (which remains \(-2\))
- \(|-4/5| = 4/5 = 0.8\)
- \(|-1| = 1\)
- \(|3.5| = 3.5\)
- \(|-4.2| = 4.2\)
Next, we note the absolute values:
- \(-2 = -2\)
- \( 0.8\) (from \(|-4/5|\))
- \(1\) (from \(|-1|\))
- \(3.5\) (from \(|3.5|\))
- \(4.2\) (from \(|-4.2|\))
Now we will arrange these values from least to greatest:
- \(-2\)
- \(-0.8\) (which is negative, thus comes before zero)
- \(-1\)
- \(3.5\)
- \(4.2\)
After evaluating these numbers, the order from least to greatest is:
- \(-2\)
- \(-0.8\)
- \(-1\)
- \(3.5\)
- \(4.2\)
Now, from the lists provided, we need to find which one fits this order:
- The first list does not match.
- The second list does not match.
- The third list does match.
- The fourth list does not match.
The correct order from least to greatest is:
\(-2\), \(|-4/5|\), \(|-1|\), \(|3.5|\), \(|-4.2|\).
Thus, the correct answer is:
–2, StartAbsoluteValue negative four-fifths EndAbsoluteValue, StartAbsoluteValue negative 1 EndAbsoluteValue, StartAbsoluteValue negative 4.2 EndAbsoluteValue, StartAbsoluteValue 3.5 EndAbsoluteValue.
1 answer