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 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 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 positive integer, you add its negative counterpart.

Front

What is a zero pair?

Back

A zero pair consists of one positive and one negative integer that cancel each other out, resulting in zero.

Front

Calculate: (-9) + (-3)

Back

-12

Front

How do we say the problem -7 - 3?

Back

-7 and the opposite of 3.

Front

Which equation is modeled by moving left on a number line?

Back

Moving left on a number line represents subtraction.

Front

What is the result of adding a positive integer to a negative integer?

Back

The result depends on the absolute values of the integers. If the positive integer has a greater absolute value, the result is positive; if the negative integer has a greater absolute value, the result is negative.

Front

Calculate: (-4) + 7

Back

3

Front

What does the number line represent when moving from -4 to 7?

Back

It represents the addition of a positive integer to a negative integer.