16. which is greater, 4-2 or
2-4? how do you know?

4-2 is greater.

The problem:

Is 4-2 or 2-4 greater?

Step-by-step explanation:

4-2 is greater because 4-2=2 while 2-4=-2.

4-2 is 2 because if you start at 4 and move left 2 due to the subtraction of 2 then you land on 2 on the number line.

2-4 is -2 because if you start at 2 and move left 4 units due to subtraction of 4 then you have landed at -2 on the number line.

Also 2-4=-4+2=-(4-2). This means 2-4 and 4-2 will have opposite values. 2-4 is a negative number because you are taking a bigger positive number away from a smaller positive number. 4-2 is a positive value because you are taking a positive smaller value away from a bigger positive value. Any positive number are greater than any negative number.

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