Integers + Adding & Subtracting Integers

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero. Examples: -3, 0, 5.

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 one is negative, 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 means adding the opposite. For example, to subtract -3, you add +3 instead.

Front

What is the result of -5 - (-17)?

Back

The result is 12, which can be represented as -5 + 17.

Front

What is -22 + (-24)?

Back

The result is -46.

Front

How can you represent 8 - 14 as an addition sentence?

Back

8 - 14 can be represented as 8 + (-14).

Front

How do you compare integers using <, >, and =?

Back

You compare integers by looking at their values. For example, -5 > -7 because -5 is closer to zero.

Front

What is the result of -35 - (-10)?

Back

The result is -25.

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 a positive integer and a negative integer?

Back

When you add a positive integer and a negative integer, you subtract the smaller absolute value from the larger and take the sign of the integer with the larger absolute value.