Formula Sheet: The Other Side of Zero

This formula represents the addition of two integers, where X and Y are any integers and Z is their sum. Used to find the total when combining quantities.

This formula represents the subtraction of two integers, where X is the starting integer, Y is the quantity to be subtracted, and Z is the result. This helps in determining how much remains.

This shows that adding a negative number is the same as subtracting its positive counterpart. Useful for understanding how negative integers function.

This property indicates that adding zero to any integer does not change its value. Essential for mastering basic arithmetic.

This equation signifies that a number plus its inverse yields zero. This concept is fundamental in understanding cancellation in arithmetic.

This represents the comparison of two integers, where X is less than Y, and conversely, Y is greater than X. Important for ordering numbers.

This shows that if a number X is less than zero (a negative number), then it compares less than other negative numbers Y. A key concept in integer comparisons.

This indicates that any number N can be represented as either a positive or negative value of its absolute form X. Useful for knowing integer representation.

Here X is expressed as the sum of integers Y and Z. This is used when re-arranging formulas or solving for unknowns.

This indicates that the sum of three integers X, Y, and Z results in zero. This can occur with a combination of positive and negative values.

This equation illustrates adding a negative and a positive integer. The result shows movement along the number line and reinforces addition concepts.

This equation exemplifies combining a positive integer and a negative integer. It demonstrates how movement may lead to a negative position.

This shows that subtracting a negative integer is equivalent to addition, highlighting a key arithmetic principle.

This equation illustrates that subtracting a larger integer from a smaller results in a negative integer, which is key in understanding integer operations.

This equation shows the addition of a negative integer with a positive integer, resulting in a positive outcome. It reinforces integer interaction.

This represents that when X is zero, Y must be less than 4 for the outcome to remain negative, tying in inequalities with integers.

This equation confirms that a negative and its positive counterpart cancel each other, demonstrating the principle of inverse addition.

This illustrates that subtracting a negative number effectively adds its positive counterpart, valuable in problem-solving.

This equation shows how a larger negative impacts a smaller positive, yielding a negative integer result, significant for integer operation understanding.

This states a direct comparison showing that four is greater than negative two, reinforcing the concept of positive and negative comparisons.