Adding and Subtracting Integers

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero.

Front

What does it mean to add integers?

Back

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

Front

What does it mean to subtract integers?

Back

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

Front

Calculate: -8 + (-2)

Back

-10

Front

How do you say this problem in words? -3 − (-10)

Back

negative three minus negative ten

Front

Emily is a diver. If she is at -40 feet and swims up 10 feet, what is her new depth?

Back

-30 feet (40 - 10 = 30, so she is 30 feet below sea level).

Front

If Emily then descends another 4 feet, what is her depth now?

Back

-34 feet (30 - 4 = 34, so she is 34 feet below sea level).

Front

Which expression has the greatest value? -7 + (-3), 11 − (-5), -9 + 5, 12 − 6

Back

11 − (-5) has the greatest value.

Front

Rewrite: 24 + (-6)

Back

24 - 6

Front

What is the result of 11 − (-5)?

Back

16 (subtracting a negative is the same as adding a positive).