Question

how much more does lou need to add on? 96 + 56 =96 + (4 + 56 )

Explanation:

Step1: Analyze the expression

The original expression is \(96 + 56\), and it's rewritten as \(96+(4 + 56)\)? Wait, no, actually, to use the associative property of addition, maybe we want to make \(96 + 4\) to get a multiple of 100. Wait, the box is around \(4 + 56\)? Wait, no, maybe the intended is to split 56 into 4 and 52? Wait, no, looking at the expression, the original is \(96+56\), and the rewritten is \(96+(4 + 56)\)? No, that doesn't make sense. Wait, maybe it's a typo, and the intended is to write \(96 + 56=(96 + 4)+52\), but the box is around \(4 + 56\)? Wait, no, the question is "How much more does Lou need to add on?" Wait, maybe we are using the associative property to make \(96 + 4 = 100\), so we need to see how to split 56. Wait, \(56=4 + 52\), so \(96+56=96+(4 + 52)=(96 + 4)+52=100+52 = 152\). But the given rewritten is \(96+(4 + 56)\), which is incorrect. Wait, maybe the box is supposed to be 4? Wait, no, the current box is around \(4 + 56\), but that would make \(96+(4 + 56)=96 + 60=156\), which is wrong. Wait, maybe the original problem is to find how much to add to 96 to make it 100, which is 4, and then add 56. Wait, the question is "How much more does Lou need to add on?" So if we have 96, and we want to add something to make it easier, like adding 4 to 96 to get 100, then add 56. So the amount to add on to 96 to make the addition easier (using the associative property) is 4. Wait, the box is around \(4 + 56\), but maybe the number to add on is 4. Wait, let's re-express:

We have \(96 + 56\). To use the associative property of addition, we can write \(96 + 56=(96 + 4)+(56 - 4)=100+52 = 152\). So the number we add to 96 is 4, and then we adjust 56 by subtracting 4. But in the given expression, it's written as \(96+(4 + 56)\), which is incorrect. But maybe the intended is that we need to add 4 to 96, so the amount to add on is 4. Wait, the box is around \(4 + 56\), but maybe the answer is 4.

Step2: Calculate the value

Wait, maybe the problem is to find the missing number. Let's see: \(96 + 56 = 96 + (x + 56)\), so \(x\) is 4, because \(96 + 4 = 100\), then \(100 + 56 = 156\)? No, that's not right. Wait, no, \(96 + 56 = 152\), and \(96 + (4 + 56)=96 + 60 = 156\), which is wrong. So maybe there's a mistake in the problem, but assuming that we want to use the associative property to make \(96 + 4 = 100\), then the number to add on is 4.

Answer:

4