The image shows a set of worksheets focused on multiplication, specifically multiplying 3-digit numbers by 2-digit numbers using the grid method. Below is an explanation of the grid method and how to solve such problems, along with an example.
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Understanding the Grid Method
The grid method is a visual and systematic way to multiply larger numbers. It breaks down each number into its place values (hundreds, tens, and units) and then multiplies these parts systematically. Here’s how it works:
1.
Break Down the Numbers: Split each number into its hundreds, tens, and units.
- For example, if you are multiplying 345 × 27:
- 345 = 300 + 40 + 5
- 27 = 20 + 7
2.
Set Up the Grid: Create a grid with rows and columns corresponding to the place values of the two numbers.
- The top row will have the place values of the first number (e.g., 300, 40, 5).
- The left column will have the place values of the second number (e.g., 20, 7).
3.
Multiply Each Part: Multiply each part of the first number by each part of the second number and fill in the grid.
- For example:
- 300 × 20 = 6000
- 300 × 7 = 2100
- 40 × 20 = 800
- 40 × 7 = 280
- 5 × 20 = 100
- 5 × 7 = 35
4.
Add the Results: Add up all the products in the grid to get the final answer.
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Example Problem
Let’s solve one of the problems from the worksheet:
345 × 27.
#### Step 1: Break Down the Numbers
- 345 = 300 + 40 + 5
- 27 = 20 + 7
#### Step 2: Set Up the Grid
Create a grid with the place values of 345 as the columns and the place values of 27 as the rows:
| | 300 | 40 | 5 |
|-------|-----|-----|-----|
|
20| | | |
|
7 | | | |
#### Step 3: Multiply Each Part
Fill in the grid by multiplying each part:
- 300 × 20 = 6000
- 300 × 7 = 2100
- 40 × 20 = 800
- 40 × 7 = 280
- 5 × 20 = 100
- 5 × 7 = 35
The completed grid looks like this:
| | 300 | 40 | 5 |
|-------|-----|-----|-----|
|
20| 6000| 800 | 100 |
|
7 | 2100| 280 | 35 |
#### Step 4: Add the Results
Add all the products in the grid:
\[
6000 + 800 + 100 + 2100 + 280 + 35 = 9315
\]
So,
345 × 27 = 9315.
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General Explanation for the Worksheets
The worksheets provide practice problems and grids to help students apply the grid method step by step. Students should:
1. Break down both numbers into their place values.
2. Set up the grid correctly.
3. Multiply each part and fill in the grid.
4. Add all the products to get the final answer.
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Final Answer
For the example problem
345 × 27, the solution is:
\[
\boxed{9315}
\]
Parent Tip: Review the logic above to help your child master the concept of box method multiplication worksheet.
