Associative Property of Multiplication

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped in multiplication does not change the product. For example, (a x b) x c = a x (b x c).

Front

Calculate (7 x 5) x 1 using the Associative Property of Multiplication.

Back

The calculation is (7 x 5) x 1 = 35.

Front

What is the result of 2 x (6 x 4) using the Associative Property of Multiplication?

Back

The result is 2 x (6 x 4) = 2 x 24 = 48.

Front

How does the Associative Property apply to the expression 5 x (2 x 6)?

Back

Using the Associative Property, 5 x (2 x 6) = (5 x 2) x 6 = 10 x 6 = 60.

Front

What is the product of 3 x (2 x 4) using the Associative Property?

Back

The product is 3 x (2 x 4) = 3 x 8 = 24.

Front

Evaluate 2 x (2 x 5) using the Associative Property of Multiplication.

Back

The evaluation is 2 x (2 x 5) = 2 x 10 = 20.

Front

Provide an example of the Associative Property of Multiplication with different numbers.

Back

An example is (1 x 3) x 4 = 1 x (3 x 4) = 12.

Front

What is the significance of the Associative Property in multiplication?

Back

The significance is that it allows for flexibility in computation, making it easier to group numbers for easier calculation.

Front

Can the Associative Property of Multiplication be applied to more than three numbers?

Back

Yes, the Associative Property can be applied to any number of factors, e.g., (a x b) x (c x d) = a x (b x (c x d)).

Front

Is the Associative Property of Multiplication applicable to addition as well?

Back

Yes, the Associative Property applies to both multiplication and addition, but the focus here is on multiplication.