Operations with Integers and Word Problems

An integer is a whole number that can be positive, negative, or zero, but not a fraction or decimal.

The absolute value of an integer is its distance from zero on the number line, regardless of direction. For example, |-5| = 5.

When adding two integers with the same sign, add their absolute values and keep the common sign. For example, -3 + -5 = -8.

When adding two integers with different signs, subtract the smaller absolute value from the larger absolute value and take the sign of the integer with the larger absolute value. For example, -3 + 5 = 2.

To subtract an integer, add its opposite. For example, 5 - (-3) = 5 + 3 = 8.

The product of two negative integers is positive. For example, -2 * -3 = 6.

The product of a positive integer and a negative integer is negative. For example, 4 * -2 = -8.

The equation of a line of best fit is a linear equation that best represents the data points on a graph, often in the form y = mx + b.

The slope of a line represents the rate of change between the variables on the x and y axes. A positive slope indicates a direct relationship, while a negative slope indicates an inverse relationship.

A positive correlation indicates that as one variable increases, the other variable also increases.