Adding and Subtracting Integers Flashcard

Front

What is the result of adding a negative integer to a positive integer?

Back

The result will depend on the absolute values of the integers. If the absolute value of the negative integer is greater than the positive integer, the result will be negative. If the positive integer is greater, the result will be positive.

Front

What is the additive inverse of a number?

Back

The additive inverse of a number is the value that, when added to the original number, results in zero. For example, the additive inverse of 5 is -5.

Front

How do you subtract a negative integer?

Back

Subtracting a negative integer is the same as adding its positive counterpart. For example, 10 - (-3) is the same as 10 + 3, which equals 13.

Front

What is the distance between two points on a number line?

Back

The distance is the absolute value of the difference between the two points. For example, the distance between -3 and 5 is |-3 - 5| = | -8 | = 8.

Front

What does it mean to simplify an expression involving integers?

Back

Simplifying an expression means to combine like terms and perform operations to reduce the expression to its simplest form.

Front

What is the result of the expression 11 - (-5)?

Back

The result is 16, because subtracting a negative is the same as adding a positive: 11 + 5 = 16.

Front

What is the profit formula in a business context?

Back

Profit is calculated as total revenue minus total expenses. In the context of the soccer team, it is $250 (revenue) - $50 (expenses) = $200.

Front

What is the significance of the equation -6 + 6 = 0?

Back

This equation illustrates the property of additive inverses, where a number and its additive inverse sum to zero.

Front

How do you represent a loss in a mathematical expression?

Back

A loss can be represented as a negative integer. For example, if a team spends $50, it can be represented as -50.

Front

What is the relationship between integers and their absolute values?

Back

The absolute value of an integer is its distance from zero on the number line, regardless of direction. For example, the absolute value of -7 is 7.