Adding and Subtracting Integers

Front

What is the result of adding two negative integers, for example, -9 + (-5)?

Back

The result is -14, which is more negative than either of the original integers.

Front

How do you determine which expression has the greatest value when comparing integers?

Back

Evaluate each expression and compare the results. For example, 11 - (-5) equals 16, which is greater than other expressions.

Front

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

Back

The distance is the absolute value of the difference between the two integers. For example, the distance between -5 and 5 is |(-5) - 5| = 10.

Front

What is the result of subtracting a negative integer from a positive integer, for example, 8 - (-5)?

Back

The result is 13, because subtracting a negative is the same as adding a positive.

Front

What is the result of adding a positive integer to a negative integer, for example, 3 + -7?

Back

The result is -4, which is found by subtracting the absolute value of the negative integer from the positive integer.

Front

What is the rule for adding integers with different signs?

Back

When adding 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.

Front

What is the rule for subtracting integers?

Back

To subtract an integer, add its opposite. For example, a - b is the same as a + (-b).

Front

How do you find the sum of multiple integers?

Back

Add the integers together, taking into account their signs. Group positive and negative integers separately if needed.

Front

What is the absolute value of an integer?

Back

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

Front

What happens when you add zero to an integer?

Back

Adding zero to an integer does not change its value. For example, 5 + 0 = 5.