# 4 Digit Multiplication Worksheets

You will now be learning how to multiply two values together that consist of four digits each. This is all about staying organized by place value. As you multiply the multiplicand by the multiplier it is important that you make note of the place value of that multiplier. If you are multiplying by a tens place, the end product requires a single value to indicate that. As you move up successively in place value, you need to keep putting an additional zero in the end product that you form. If this is your first time approaching these types of problems, take a look at the lesson or the fully worked out example below. These worksheets will help students learn how to multiply two values that are in the thousands place.

### Aligned Standard: 5.NBT.B.5

- Big Boy Step-by-Step Lesson- Now that is what I call a product.
- Guided Lesson - If I just had a nickel for every product value in this one.
- Guided Lesson Explanation - The addition can be a little overwhelming for students here.
- Matching Sheet - Tens of millions in products.
- Practice Worksheet - I would recommend doing this slowly over a few days.

- Answer Keys - These are for all the unlocked materials above.

### Homework Sheets

If students can simply follow the example, they are off to a good start.

- Homework 1 - You can present this in an expanded form to really make a bold statement at first.
- Homework 2 - This is a neat method for moving through these quickly.
- Homework 3 - I like to multiply piece by piece, but that is up to you.

### Practice Worksheets

All the problems are set up in horizontal format to see if rewriting helps the skill sink in a bit more.

- Practice 1 - We encourage students to use placeholders as much as possible.
- Practice 2 - Having enough space for a single problem is difficult enough.
- Practice 3 - Which value is important for you?

### Math Skill Quizzes

A solid no-nonsense approach is followed with this quiz format.

- Quiz 1 - I like to proceed from the right to the left.
- Quiz 2 - Which is your preferred method for completing these problems?
- Quiz 3 - Let's see how well you grasp this topic with these problems.

### Example 4 Digit Multiplication Problem

When you are working with these types of problems it is all about staying organized. As you advance to using digits from higher place values, you just need to remind yourself that you are multiplying by those larger values and signify this by placing the proper number of zeroes in your proposed product right away. Here is a complete work through for the problem 4253 x 2751:

**Step 1 - The Ones Place** We suggest that you place the larger number as the multiplicand vertical over the smaller value which is listed as the multiplier. Focus on the lowest place value of the multiplier (ones place) and multiply these values. We find the product of that place and the multiplicand. We list this product just below the operation line.

**Step 2 - The Tens Place** From here we multiply the tens place we would list this value just below the product we determined for the ones place. We need to signify that it is a tens place by automatically placing a zero on the end of the product. From there you would just need to find the product and place that in front of the zero.

**Step 3 - The Hundreds Place** We proceed here just like we did with the previous. Since it is the hundreds place, we place 2 zeroes on our end product from the get-go.

**Step 4 - The Thousands Place** Since it is the thousands place, we start with 3 zeroes at our end product from the start.

**Step 5 – Add All Products Together** To get your final answer, you simply find the sum of all of these products.

### What Are Commas Used for In Numbers?

There are many rules that are applied in the English Language, the most important being punctuation. We place full stops at the end of a sentence. We use quotation marks when we are using quoted text; question marks when there is a question being asked, exclamation for excitement, surprise, and commas when there are things more than one in a sentence.

Just like commas align words in sentences, they are used in mathematics to align numbers. We often see in large numbers; there are often commas placed after a few values.

For example: 2,254,807

Here, the commas are placed to make the big number easier to understand and read. For every number that is bigger than the 999 value, commas are placed after 3 decimal values in each number.