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The method traditionally used for multiplying two numbers of two or more digits is **long multiplication**, but this is quite an abstract process which is difficult to understand for many children. **Grid Multiplication** (also known as the **Grid Method**) is now taught in schools as an intermediate stage before long multiplication.

With**grid multiplication**, the two numbers to be multiplied are split (*partitioned*) up into their tens and units components - e.g. 34 = 30 + 4, or hundreds, tens, and units components - e.g. 345 = 300 + 40 + 5. (Click here for our 2-digit number partitioning worksheets and 3-digit number partitioning worksheets for partitioning practice)

The**grid method** enables a complex multiplication to be broken up into a collection of relatively simple multiplications followed by some column addition.

## Grid Method Example

54 x 12 can be *partitioned* to give us (50 + 4) x (10 + 2)

this can be expanded to four simple multiplications which when added together give the final answer: (50 x 10) + (50 x 2) + (10 x 4) + (4 x 2).

This is done with the use of a**grid** as shown below:

Total up the columns and write the totals in the row at the bottom of the grid. Then finally add together those totals for the final answer. Here 54 x 12 = 540 + 108 =__648__.

The Grid Method*can* be used to multiply very large numbers using a larger grid, but by the time a child is confident multiplying 3- and 4- digit numbers using grid multiplication, they are ready for long multiplication which is a faster method.

## TU x U Grid Multiplication Worksheets

Here numbers of type TU are multiplied by numbers of type U, for example **17x4**, **23x9**. The child must first partition the TU value and enter the T and U components into the grid together with the U type number by which TU is to be multiplied.

If this number partitioning and/or grid set up causes any problems, try Grid Multiplication TUxU Partitioned which are worksheets in which the TUxU values have been partitioned and pre-entered in the grid so the child can focus on the multiplications and additions aspects of the grid method.

Next move on to Grid Multiplication**TUxTU**.

With

The

this can be expanded to four simple multiplications which when added together give the final answer: (50 x 10) + (50 x 2) + (10 x 4) + (4 x 2).

This is done with the use of a

x | 10 | 2 |

50 | 500 | 100 |

4 | 40 | 8 |

total | 540 | 108 |

Total up the columns and write the totals in the row at the bottom of the grid. Then finally add together those totals for the final answer. Here 54 x 12 = 540 + 108 =

The Grid Method

If this number partitioning and/or grid set up causes any problems, try Grid Multiplication TUxU Partitioned which are worksheets in which the TUxU values have been partitioned and pre-entered in the grid so the child can focus on the multiplications and additions aspects of the grid method.

Next move on to Grid Multiplication

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