Question

fill in the blank with the correct sign >, <, or =
-3.4 ____ -2.5

Explanation:

Step1: Recall the rule for comparing negative numbers

For negative numbers, the one with the larger absolute value is actually smaller. First, find the absolute values of \(-3.4\) and \(-2.5\). The absolute value of a number \(x\) is \(|x|\), so \(|-3.4| = 3.4\) and \(|-2.5| = 2.5\).

Step2: Compare the absolute values

Since \(3.4>2.5\), according to the rule for negative numbers, \(-3.4 < -2.5\) because the number with the larger absolute value is smaller when both are negative.

Answer:

\(-3.4 < -2.5\)