Question

talk about it!
how can you compare
the numbers without
graphing them on a
number line?

Explanation:

To compare numbers without a number line, we can use their values' properties. For integers, we check digit places (e.g., 5 > 3 as 5 has a higher value). For decimals, we compare place - by - place (e.g., 2.3 > 2.1 as the tenths place 3 > 1). For positive and negative numbers, positives are greater than negatives (e.g., 2 > - 1). We can also use subtraction: if \(a - b>0\), then \(a > b\); if \(a - b = 0\), \(a = b\); if \(a - b<0\), \(a < b\).

Answer:

We can compare numbers by analyzing their place values (for integers/decimals), using the sign (positive > negative), or subtracting them (if \(a - b>0\), \(a > b\); \(a - b = 0\), \(a = b\); \(a - b<0\), \(a < b\)).