9.1 Take apart to Multiply

Front

What is the process of decomposing a factor in multiplication?

Back

Decomposing a factor involves breaking it down into smaller, more manageable parts that can be multiplied separately and then added together to find the total product.

Front

How can you decompose the factor 9 to find 2 × 9?

Back

You can decompose 9 into 4 and 5, so (2 × 4) + (2 × 5) = 2 × 9.

Front

What is an example of decomposing the factor 7 in the multiplication 3 × 7?

Back

You can decompose 7 into 5 and 2, so (3 × 5) + (3 × 2) = 3 × 7.

Front

How can you decompose the factor 5 in the multiplication 6 × 5?

Back

You can decompose 5 into 4 and 2, so (4 × 5) + (2 × 5) = 6 × 5.

Front

What is the decomposition of the factor 3 in the multiplication 4 × 3?

Back

You can decompose 3 into 2 and 2, so (2 × 3) + (2 × 3) = 4 × 3.

Front

How can you decompose the factor 8 in the multiplication 7 × 8?

Back

You can decompose 8 into 4 and 3, so (4 × 8) + (3 × 8) = 7 × 8.

Front

What is the distributive property in multiplication?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

Why is decomposing factors useful in multiplication?

Back

Decomposing factors makes it easier to perform multiplication by breaking it down into simpler parts that can be calculated separately.

Front

What is an example of using the distributive property with the factors 2 and 9?

Back

Using the distributive property, you can express 2 × 9 as (2 × 4) + (2 × 5).

Front

How can you check your work after decomposing factors in multiplication?

Back

You can check your work by adding the results of the decomposed parts to ensure they equal the original multiplication.