Adding and Subtracting Integers

Front

What is the result of adding two integers with different signs?

Back

The result is the difference between the absolute values of the integers, and the sign of the result is the same as the integer with the larger absolute value.

Front

How do you rewrite a subtraction problem as an addition problem?

Back

To rewrite a subtraction problem as an addition problem, you change the subtraction of a number to the addition of its opposite (negative). For example, 7 - 12 becomes 7 + (-12).

Front

What is the sum of -5 and -9?

Back

The sum of -5 and -9 is -14.

Front

What is the result of subtracting a negative integer from a negative integer?

Back

Subtracting a negative integer is the same as adding its positive counterpart. For example, -2 - (-10) = -2 + 10 = 8.

Front

What is the definition of an integer?

Back

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

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. It is always a non-negative number.

Front

How do you find the sum of two negative integers?

Back

To find the sum of two negative integers, add their absolute values and keep the negative sign. For example, -2 + (-8) = -(2 + 8) = -10.

Front

What is the commutative property of addition?

Back

The commutative property of addition states that changing the order of the addends does not change the sum. For example, a + b = b + a.

Front

What is the associative property of addition?

Back

The associative property of addition states that the way in which numbers are grouped does not change their sum. For example, (a + b) + c = a + (b + c).

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.