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 it mean to multiply integers?

Back

Multiplying integers means finding the product of two whole numbers, which can be positive or negative.

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 negative. For example, 3 × -4 = -12.

Front

What is the product of two negative integers?

Back

The product of two negative integers is always positive. For example, -2 × -3 = 6.

Front

What is the product of zero and any integer?

Back

The product of zero and any integer is always zero. For example, 0 × 5 = 0.

Front

How do you multiply integers using the number line?

Back

To multiply integers on a number line, start at zero and make jumps based on the integer values. The direction of the jump depends on the sign of the integers.

Front

What is the commutative property of multiplication?

Back

The commutative property states that changing the order of the factors does not change the product. For example, 4 × 5 = 5 × 4.

Front

What is the associative property of multiplication?

Back

The associative property states that the way in which factors are grouped does not change the product. For example, (2 × 3) × 4 = 2 × (3 × 4).

Front

How can you use arrays to visualize integer multiplication?

Back

Arrays can be used to represent multiplication by arranging objects in rows and columns. For example, 3 × 4 can be visualized as 3 rows of 4 objects.

Front

What is the identity property of multiplication?

Back

The identity property states that any number multiplied by 1 remains unchanged. For example, 7 × 1 = 7.