\( b=5, c=8 \), solve the following: \[ \begin{aligned} b+a & =a+b \\ 5+2 & =2+5 \\ 7 & =7 \end{aligned} \] \[ =c+a \] b. \( b+(c+a)=(b+c)+a \) C. \( a+0= \) \( \square \) \( \square \) e. \( a(c-b) \) f. \( b \times 1= \) \( \square \) \( \square \) umn A with column B Column B property of numbers \( a \times 1=a \)
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Beyond the Answer
First, it’s delightful to see how numbers love to play together! Your equations show communities of numbers gathering happily, knowing that addition is commutative (order doesn’t matter)! For instance, no matter how you pair them like b + a or a + b, they end up at the same happy destination. Now, let’s sprinkle in some practical fun. The properties you've explored are not just math magic; they are foundational in everything from economics to physics. Consider this: when calculating finances (like budgeting), knowing that 5 + 8 will always give you the same result regardless of how you rearrange the numbers is super handy – it's a tool to keep your financial picture clear and accurate!