Grid method multiplication

Quick answer

The grid method multiplication is a way to multiply two-digit numbers by splitting them into tens and units, then using a grid to multiply each part and add the results together.

Learning outcome

By the end of this page, you will be able to use the grid method to multiply any two-digit number by another two-digit number, showing your work in a clear grid layout.

Success signs:

• You can split a two-digit number into tens and units
• You can set up a grid with the right numbers
• You can multiply each part of the grid correctly
• You can add the results to find the final answer

Why this matters

Grid method multiplication helps you understand how multiplication works by breaking big problems into smaller, easier steps. It's a great way to multiply numbers that are too big for you to do in your head, and it's useful for things like:

• Buying lots of items at the shop
• Working out how much time it takes to do a task
• Planning how many seats you need for a party
• Calculating how much money you earn in a week

It also helps you prepare for more advanced maths later on, like algebra and long multiplication.

How it works

Let's imagine you want to multiply 24 by 13. Here's how the grid method works:

1. Split both numbers into tens and units – 24 becomes 20 and 4, and 13 becomes 10 and 3
2. Draw a grid – Make a rectangle with two rows and two columns
3. Put the parts in the grid – Put 20 and 4 across the top, and 10 and 3 down the side
4. Multiply each box – Work out 20 × 10, 20 × 3, 4 × 10, and 4 × 3
5. Add up the results – Add all the answers from the boxes together

Let's go through this step by step with a real example!

Examples you can see

Let's try 24 × 13 using the grid method:

Now let's add up all the results:

• 200 + 40 + 60 + 12 = 312

So, 24 × 13 = 312.

Let's try another example with 32 × 25:

Adding up the results:

• 600 + 40 + 150 + 10 = 800

So, 32 × 25 = 800.

Try it as a mini adventure

Adventure: The Treasure Hunt

You are on a treasure hunt! To find the treasure, you need to solve a multiplication puzzle. The treasure map says:

• First, you must multiply 27 by 34
• Then, you must multiply 19 by 26
• Finally, add the two answers together to get the treasure code

Can you solve this adventure?

Let's start with 27 × 34:

Add the results:

• 600 + 210 + 80 + 28 = 918

Now for 19 × 26:

Add the results:

• 200 + 180 + 60 + 54 = 594

Now, add both answers:

• 918 + 594 = 1512

The treasure code is 1512!

Common mistakes

• Mistake: Forgetting to multiply all parts of the grid
  Why it happens: You might only multiply the top row with the first column.
  Fix: Make sure to multiply every number in the top row with every number in the side column.
• Mistake: Adding the results incorrectly
  Why it happens: You might make a mistake when adding the numbers together.
  Fix: Add the numbers one by one, or use a calculator to double-check.
• Mistake: Not splitting the numbers correctly
  Why it happens: You might split 35 as 3 and 5, instead of 30 and 5.
  Fix: Remember to split into tens and units, not just individual digits.
• Mistake: Drawing the grid too small or messy
  Why it happens: You might not leave enough space for your work.
  Fix: Use a ruler to make neat boxes, and leave space for your calculations.

Parent and carer guide

Helping your child with the grid method is simple and fun!

1. Start with simple examples – Try 12 × 13 or 21 × 14 before moving to bigger numbers
2. Use visual aids – Draw the grid together or use small objects like counters or blocks
3. Encourage neatness – A clean grid makes it easier to check your work
4. Ask questions – "What does 20 × 3 equal?" or "How did you split 34?"
5. Be patient – It takes time to get used to the method, so don't rush

Don't worry if your child makes mistakes – that's part of learning. Focus on understanding the steps, not just getting the right answer.

Practice questions

1. Use the grid method to solve: 15 × 12
2. Use the grid method to solve: 23 × 14
3. Use the grid method to solve: 31 × 22
4. Use the grid method to solve: 17 × 18
5. Use the grid method to solve: 26 × 15

Answers:

1. 15 × 12 = 180
2. 23 × 14 = 322
3. 31 × 22 = 682
4. 17 × 18 = 306
5. 26 × 15 = 390

FAQ

What is the grid method multiplication?

The grid method is a way to multiply two-digit numbers by splitting them into tens and units, then using a grid to multiply each part and add the results together.

Why do we use the grid method?

The grid method helps you understand how multiplication works by breaking it into smaller, easier steps. It's especially helpful when multiplying larger numbers.

Can I use the grid method for bigger numbers?

Yes! You can use the grid method for any numbers, but it's especially helpful for two-digit numbers. For bigger numbers, you can split them into hundreds, tens, and units.

Is the grid method the same as long multiplication?

It's similar but different. The grid method shows each step clearly, while long multiplication is more compact. Both are useful, but the grid method helps you understand the process better.

How can I practice the grid method at home?

You can practice with everyday examples like calculating how many cookies you need for a party or how much money you'll spend on toys. Try using the grid method to solve these problems!