Adding and Subtracting Integers

Front

What is the definition of an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

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 8 is -8.

Front

How do you add two integers with different signs?

Back

To add two integers with different signs, subtract the absolute values and take the sign of the integer with the larger absolute value.

Front

What is the result of -80 - (-20)?

Back

The result is -60, because subtracting a negative is the same as adding a positive.

Front

What is the result of -2 + 4?

Back

The result is 2, because you are adding a negative integer to a positive integer.

Front

How do you subtract integers?

Back

To subtract integers, you can add the additive inverse of the integer being subtracted.

Front

What is the result of 3 - 7?

Back

The result is -4, because you are subtracting a larger positive integer from a smaller positive integer.

Front

What is the result of -9 + (-5)?

Back

The result is -14, because you are adding two negative integers.

Front

What is the commutative property of addition?

Back

The commutative property states that the order of addition does not affect the sum. For example, a + b = b + a.

Front

What is the associative property of addition?

Back

The associative property states that the way in which numbers are grouped in addition does not affect the sum. For example, (a + b) + c = a + (b + c).