I think I have a different edition, because Example 4.13 is on page 248. But it's about HCl neutralizing CaCO3, right?
The trick to this one is that the moles of acid you need are twice the moles of CaCO3, because it takes two H+ equivalents to neutralize CaO32-. 3.0 g of CaCO3, at 100 g/mole, represents 30 millimoles CaCO3. This means that you need 60 millimoles of HCl for complete neutralization.
The solution is 0.60 M HCl, so when multiplying 0.60 moles/L by 100 mL, you get the L cancelling out and are left with 60 millimoles of HCl. This means that 100 mL are needed.
Let me know if that's the same question and if that explains it.
That is a really common math mistake. Misplacing the factor of 2 is common with stoichiometry, reaction rates, and other things of the sort.
Let's say you had 1 mole of CaCO3. According to the equation, you would need twice as many moles of HCl as CaCO3, so you would need (2 x 1) moles of HCl total. So, when you have (3/100) moles CaCO3, then according to the stoichiometry, you need (6/100) moles HCl.
To get (6/100) moles HCl, you have 0.6M x V = 6/100, so V 1/10 L = 100 mL