Operations with Integers

Front

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

Back

When you subtract a negative integer from a negative integer, it is equivalent to adding the absolute value of that negative integer. For example, -3 - (-4) = -3 + 4 = 1.

Front

How do you multiply two negative integers?

Back

When you multiply two negative integers, the result is a positive integer. For example, -6 x (-2) = 12.

Front

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

Back

Subtracting a negative integer from a positive integer is equivalent to adding the absolute value of that negative integer. For example, 13 - (-10) = 13 + 10 = 23.

Front

What is the result of dividing two negative integers?

Back

When you divide two negative integers, the result is a positive integer. For example, -8 ÷ (-2) = 4.

Front

What is the result of dividing a negative integer by a positive integer?

Back

When you divide a negative integer by a positive integer, the result is a negative integer. For example, -24 ÷ 6 = -4.

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, the absolute value of -5 is 5.

Front

What is the rule for adding two integers with the same sign?

Back

When adding two integers with the same sign, you add their absolute values and keep the sign. For example, -3 + (-4) = -7.

Front

What is the rule for adding two integers with different signs?

Back

When adding two integers with different signs, you subtract the smaller absolute value from the larger absolute value and take the sign of the integer with the larger absolute value. For example, -3 + 5 = 2.

Front

What is the result of multiplying a positive integer by a negative integer?

Back

When you multiply a positive integer by a negative integer, the result is a negative integer. For example, 4 x (-3) = -12.

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.