Double Digit Multiplication

Front

What is double digit multiplication?

Back

Double digit multiplication is the process of multiplying two numbers that each have two digits, such as 12 x 34.

Front

How do you multiply two double digit numbers?

Back

To multiply two double digit numbers, you can use the standard algorithm: multiply each digit of the first number by each digit of the second number, and then add the results.

Front

What is the first step in double digit multiplication?

Back

The first step is to multiply the ones place of the first number by the ones place of the second number.

Front

What is the second step in double digit multiplication?

Back

The second step is to multiply the tens place of the first number by the ones place of the second number, and then multiply the ones place of the first number by the tens place of the second number.

Front

What is the third step in double digit multiplication?

Back

The third step is to add the results of the previous multiplications, making sure to align the numbers correctly based on their place value.

Front

Example: What is 12 x 15?

Back

12 x 15 = 180.

Front

What is the distributive property in multiplication?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to break down complex multiplication into simpler parts.

Front

How can you use the distributive property for 14 x 23?

Back

You can break it down as 14 x (20 + 3) = (14 x 20) + (14 x 3) = 280 + 42 = 322.

Front

What is an area model in multiplication?

Back

An area model visually represents multiplication by dividing a rectangle into smaller sections based on the place values of the numbers being multiplied.

Front

Example: Use an area model for 23 x 14.

Back

Break 23 into 20 and 3, and 14 into 10 and 4. Create a grid: (20 x 10) + (20 x 4) + (3 x 10) + (3 x 4) = 200 + 80 + 30 + 12 = 322.