Question

put the rational numbers in order from least to greatest. -1, -1.1, -1.5, -1.15, -0.5

Explanation:

Step1: Understand negative number order

For negative numbers, the larger the absolute value, the smaller the number. First, find the absolute values of each number:

• \(|-1| = 1\)
• \(|-1.1| = 1.1\)
• \(|-1.5| = 1.5\)
• \(|-1.15| = 1.15\)
• \(|-0.5| = 0.5\)

Step2: Compare absolute values

Now, compare the absolute values: \(1.5 > 1.15 > 1.1 > 1 > 0.5\)

Step3: Order the negative numbers

Since for negative numbers, larger absolute value means smaller number, we reverse the order of the absolute values to get the order of the negative numbers from least to greatest:

• The number with the largest absolute value is \(-1.5\) (so it's the smallest)
• Next is \(-1.15\) (since \(1.15\) is the next largest absolute value)
• Then \(-1.1\) (absolute value \(1.1\))
• Then \(-1\) (absolute value \(1\))
• The largest (least negative) is \(-0.5\) (absolute value \(0.5\))

Answer:

\(-1.5, -1.15, -1.1, -1, -0.5\)