Adding and Subtracting Integers

Front

What is an integer?

Back

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

Front

What does it mean to add integers?

Back

Adding integers involves combining their values. If both integers are positive, the result is positive. If both are negative, the result is negative. If one is positive and the other is negative, subtract the smaller absolute value from the larger absolute value and take the sign of the integer with the larger absolute value.

Front

What does it mean to subtract integers?

Back

Subtracting integers means adding the opposite. For example, to subtract a negative integer, you add its positive counterpart.

Front

What is the result of 10 + 5 − (-2)?

Back

17

Front

Cinderella's castle is at 200 feet above sea level. If Sleeping Beauty's castle is 100 feet less, what is its elevation?

Back

100 feet above sea level.

Front

Emily descended to 40 feet below sea level, swam up 10 feet, and then descended another 4 feet. How far below sea level is she now?

Back

-34 feet.

Front

How can -4 − (-2) be rewritten?

Back

-4 + 2.

Front

How can 24 + (-6) be rewritten?

Back

24 - 6.

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 is the rule for adding two negative integers?

Back

When adding two negative integers, the result is negative, and you add their absolute values.