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**Multiplying Large Numbers (Traditional Method)**

Created by: Sabrina Edmondson Adapted from BBC online

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**Multiplying Large Numbers**

If this method seems familiar it might be because you were encouraged to use it in school. Talking through the method is far easier than trying to follow written instructions.

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**Multiplying Large Numbers**

Have a look at how the equation 235 x 5 can be worked out using this method. Step 1: 5 x 5 = 25. Put the 5 in the units column, and carry the 2 to the tens. H T O 2 3 5 x

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**Multiplying Large Numbers**

Step 2: 3 x 5 = 15. Add the 2 makes 17. 7 goes into the ten’s column and carry the 1 to the hundred’s column. H T O 1 2 3 5 x 7

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**Multiplying Large Numbers**

Th H T O 1 2 3 5 x 1 1 7 Step 3: 5 x 2 = 10. Add the carried 1 makes 11. So: 235 x 5 = 1,175

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**Multiplying Large Numbers**

Remember to line up the ones, tens and hundreds underneath each other.

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**Multiplying Large Numbers**

Now have a look at the equation: 255 x 25 H T O 2 5 x

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**Multiplying Large Numbers**

First, multiply 255 by the unit digit 5. Step 1: 5 x 5 = 25. Put the 5 in the units column, and carry the 2 to the tens H T O 2 5 x

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**Multiplying Large Numbers**

Step 2: 5 x 5 = 25. Add the 2 makes goes into the tens column and carry the 2 to the hundred’s column. H T O 2 5 x 7

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**Multiplying Large Numbers**

Step 3: 5 x 2 = 10. Add the carried 2 makes 12. Th H T O 2 5 x 1 2 7

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**Multiplying Large Numbers**

Then multiply 255 by the ten’s digit 2. Remember to place a zero in the ones column first when multiplying the tens. Th H T O 2 5 x 1 2 7

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**Multiplying Large Numbers**

Th H T O 1 2 5 x 1 2 7 Step 1: 2 x 5 = 10. Put the 0 in the ten’s column, and carry the 1 to the hundreds.

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**Multiplying Large Numbers**

Step 2: 2 x 5 = 10. Add the carried 1 makes goes into the hundred’s column, with 1 carried to the thousands. Th H T O 1 2 5 x 1 2 7

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**Multiplying Large Numbers**

Step 3: 2 x 2 = 4, add the carried 1 makes 5. The total is 5,100. Th H T O 1 2 5 x 1 2 7 5 1

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**Multiplying Large Numbers**

Finally, add down the columns down to get the total. Th H T O 1 2 5 x 1 2 7 5 1 6 3 So: 255 x 25 = 6,375

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**Multiplying Large Numbers**

Remember: Keep the numbers in columns - ones, tens, hundreds etc. When multiplying the tens digit add a zero to the ones column first.

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Long multiplication – column method

Long multiplication – column method

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