# Can you explain why subtracting an integer is adding its opposite?

plus times plus = plus

minus times plus = minus

plus times minus = minus

minus times minus = plus

so when you subtract a number it is the same as adding its negative; for example

7 - 4 = 3

7 + (1)(-4) = 3

### Explain how to subtract a positive integer and a negative integer using absolute value?

Subtracting an integer is the same as adding its opposite. Examples: In the following examples, we convert the subtracted integer to its opposite, and add the two integers. 7 - 4 = 7 + (-4) = 3 12 - (-5) = 12 + (5) = 17 -8 - 7 = -8 + (-7) = -15 -22 - (-40) = -22 + (40) = 18 Note that the result of subtracting two integers could be positive…

### What is the rule in adding positive integers?

Adding Integers To add integers, one must consider the following two rules to be a successful. If you want to think of it on the number line you start from 0 and when you add a positive number you go that much to the right, and when you add a negative number you go that much to the left. When adding two positive integers, just add like normal. When adding one positive integer, and one…

### What are the similarities between integers?

All integers belong to the set {..., -2, -1, 0, 1, 2, ...}. The absolute value of any integer results in a whole number {0, 1, 2, ...}. Adding and subtracting integers always results in an integer. Multiplying integers always results in an integer. Dividing integers can sometimes not result in an integer.

### Why do you add an integer opposite when subtracting integers?

to make the integer zero for example: 2x+7y=7x+9 in this step's need to transpose 7x to the left member, 2x-7x+7y=7x-7x+9 look! it become zero and 7x is already transpose to the left member then that's the purpose of adding its opposite We use the opposite of a real numbers to distinguish the number from a negative number. The opposites of reals are real, whereas negative numbers are imaginary numbers. In the above example values and…

### How can you find the sum of a positive integer and a negative integer without using a number line?

Adding a negative number is just the same as subtracting a positive number. So 3 plus (-4) is the same as 3 minus 4. The answer to 3 - 4 is the inverse of the answer to 4 - 3 So if 4-3=1 then 3-4=-1 Other useful rules: Taking away a minus number is the same as adding a plus number. Subtracting a plus number, or adding a minus number, is the same as taking…