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One of the biggest problems people have in mathematics is with negative numbers. A negative number is any number whose value is less than zero. In each example, the number on the right is the distance from 0.The opposite of an integer is obtained by changing its sign. (a) The opposite of `-3` is `3` and (b) The opposite of `4` is ` -4`. We can change the subtraction into a more familiar addition by realising that subtracting an integer is the same as adding its opposite.
So let's let x be equal to the smallest of the four. So we have one x, two x's, three x's, four x's. And then we have 2 plus 4, which is 6, plus another 6 is 12. So to solve for x, a good starting point would be to just to isolate the x terms on one side of the equation or try to get rid of this 12. And if you don't feel like doing that in your head, you could also, of course, do traditional long division.
Refer to the following related topics for other types of integer word problems.
Initially, there were the same number of blue marbles and red marbles in a bag. The following videos give more examples of integer word problems.
Procedure: To add a positive and a negative integer (or a negative and a positive integer), follow these steps: 1. We will use the above procedure to add integers with unlike signs in Examples 3 through 7.
Refer to the number line to help you visualize the process in each example.