Integer Multiplication

Front

What is an integer?

Back

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

Front

What does multiplication of integers involve?

Back

Multiplication of integers involves combining equal groups of integers. For example, 3 multiplied by 4 means adding 3 four times (3 + 3 + 3 + 3).

Front

What is the product of two positive integers?

Back

The product of two positive integers is always a positive integer. For example, 2 x 3 = 6.

Front

What is the product of a positive integer and a negative integer?

Back

The product of a positive integer and a negative integer is always a negative integer. For example, 4 x -2 = -8.

Front

What is the product of two negative integers?

Back

The product of two negative integers is always a positive integer. For example, -3 x -5 = 15.

Front

How do you multiply integers with different signs?

Back

When multiplying integers with different signs, the product is negative. For example, -6 x 2 = -12.

Front

What is the zero property of multiplication?

Back

The zero property of multiplication states that any integer multiplied by zero equals zero. For example, 7 x 0 = 0.

Front

How can you represent multiplication of integers on a number line?

Back

Multiplication can be represented on a number line by making jumps. For example, to multiply 3 x 2, you make 3 jumps of 2 units each.

Front

What is the associative property of multiplication?

Back

The associative property of multiplication states that the way in which numbers are grouped does not change their product. For example, (2 x 3) x 4 = 2 x (3 x 4).

Front

What is the commutative property of multiplication?

Back

The commutative property of multiplication states that changing the order of the factors does not change the product. For example, 5 x 2 = 2 x 5.