# Multiplying by 3-Digit Numbers

As your child progresses through school, the ability to work with larger numbers becomes an important requirement. Luckily, bigger numbers do not necessarily mean the problems themselves are more difficult. These equations simply build upon concepts your child has already learned and challenges them to apply these concepts in different situations. One such example is multiplying using 3-digit numbers. Drawing upon your child’s knowledge of basic multiplication, place value, and addition, multiplying 3-digit numbers can be a fairly simple concept when the fundamentals are understood.

Multiplying by 3-digit numbers can be broken down into a few steps. We will use numbers A and B to refer to our two 3-digit numbers:

1. Focusing on one of the 3-digit numbers (in this case, we will use A), multiply the digit in the ones place value of A by B.
2. Using A’s tens place value, now multiply it by B.
3. Then, multiply A’s hundreds place value by B.
4. Finally, add up the values found in steps 1 through 3.

Let’s take a look at an example to better understand this concept:

First, we must use one of the two numbers (either 502 or 336) to multiply using the values in the ones, tens, and hundreds place. For this example, we will use 336. Thus, we multiply 502 by 6, the number in the ones place of 336.

After multiplying 502 by 6, add a zero beneath the two in 3,012. The reason for doing this is because we will now be multiplying 502 by 30 since the 3 is in the tens place of 336.

After completing this step, you may proceed to multiply 502 by 3 on the second line after the zero.

Next, multiply 502 by the 3 in the hundreds place of 336. Similar to the previous step, add two zeros on the next line below 15,060 (in the ones and tens place values). We add two zeros in this step since we are multiplying 502 by 300.

Now, multiply 502 by 3, adding those values after the two zeros we just placed.

Finally, add up the values found from multiplying the different numbers in the ones, tens, and hundreds place values.

After adding up all the values, we reach our final answer: 168,672.

As seen in the example, multiplying numbers with at least 3 digits is not a difficult task. While these problems have numerous steps and may take more time, they are simple in nature. However, your kids will be able to solve them with ease as they practice these types of problems and gain a better grasp of the concepts used to complete them.