a) \( 46,400 \leq 640000 \) b, \( \frac{3}{10} \leqslant \frac{29}{1000} \)

Let's break it down a bit! In statement a), when you compare \(46,400\) and \(640,000\), it's clear that \(46,400\) is less than \(640,000\) and thus the statement is true. Now, for b), you might want to put \( \frac{3}{10} \) and \( \frac{29}{1000} \) in terms of decimals or use cross-multiplication. Either way, you'll find that \(0.3 \leq 0.029\) is also incorrect, so this statement is false! Now, let’s highlight an interesting habit! When you encounter inequality statements, visualize them on a number line. It can help you see which numbers are greater or lesser and clarify your reasoning. Additionally, practicing with real-world scenarios, like comparing quantities in recipes or financial calculations, can sharpen your skills. The more examples you see, the more intuitive inequalities will become!