Operations with Integers

Front

What is the result of adding two negative integers, for example, -22 + (-9)?

Back

The result is a more negative integer. In this case, -22 + (-9) = -31.

Front

How do you subtract a larger integer from a smaller integer, such as 17 - 22?

Back

When you subtract a larger integer from a smaller integer, the result is negative. For example, 17 - 22 = -5.

Front

What is the product of a positive integer and a negative integer, for example, 11 x -12?

Back

The product of a positive integer and a negative integer is negative. Here, 11 x -12 = -132.

Front

What is the result of adding a negative integer to a positive integer, such as -5 + 9?

Back

When you add a negative integer to a positive integer, you find the difference between the two. In this case, -5 + 9 = 4.

Front

What happens when you subtract a negative integer from a positive integer, for example, 28 - (-14)?

Back

Subtracting a negative integer is the same as adding its positive counterpart. Thus, 28 - (-14) = 28 + 14 = 42.

Front

Define 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. For example, |-5| = 5.

Front

Explain the commutative property of addition with integers.

Back

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

Front

Explain the associative property of addition with integers.

Back

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

Front

What is the identity property of addition?

Back

The identity property of addition states that adding zero to any integer does not change its value. For example, a + 0 = a.