Why is it important to follow the order of operations

1.  Why is it important to follow the order of operations? What are some possible outcomes when the order of operations is ignored? If you invented a new notation where the order of operations was made clear, what would you do to make it clear? 2.  Why would the following expression be grouped by using ( ) [ ] { }? {[(24 + a) – 2(a + b)] x [(12-a) + 4(a-1)] + 2} If a = 2 and b = 1, what would the answer be? 3. What can you say about equations or expressions when you consider the following scenario: Snail B is right behind snail A and both are traveling in the same direction.  While snail A is traveling at 2 cm/hr, snail B is motoring at 3 cm/hr (this is really fast for a snail).  Initially, the snails were 3 cm apart.  How long does it take for snail B to catch up to snail A?  Is snail A male or female?

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