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Column Subtraction is a bit trickier than column addition, but the method we'll look at here is still quite simple to learn.There are two common methods for subtracting numbers arranged in columns - the which most parents and teachers will have learned in school, and a second method called the Decomposition Method. In the end both give the same answer, but the equal addition method tends to be the easier to explain and learn thanks to its simplicity.Equal Addition MethodWhen using the equal addition method, the bottom number is subtracted from the top number in each column, starting in the units column and working left through the tens, hundreds, and so on. If the bottom number is larger than the top number in a column, we just add 10 to the top number and add 1 to the bottom number in the next column to the left as shown in the example below:
Therefore since +10 - 10 = 0 we have not changed the final answer, we've just made it easier to calculate. |
Column subtraction using the Equal Addition Method is much better demonstrated than explained, so please try our automatic demonstrator below.Level 1 - 2 digit minus 2 digit, no borrow. Level 2 - 3 digit minus 3 digit, no borrow. Level 3 - 2 digit minus 2 digit, with borrow. Level 4 - 3 digit minus 3 digit, with borrow. Level 5 - 4 digit minus 4 digit, with borrow. Level 6 - 5 digit minus 5 digit, with borrow. press F5 to repeat a level with new numbers.For printable PDF column subtraction worksheets for each of the levels mentioned above click here:Alternatively, you can enter numbers yourself below to see how they one is subtracted from the other using the equal addition method of column subtraction. |

The Question is

Put these numbers into columns.

^{ }9_{ }^{ }3_{ }^{ }0_{ }^{ }3_{ }- ^{ }1_{ }^{ }3_{ }^{ }1_{ }^{ }5_{ } |

^{ } _{ }^{ } _{ }^{ } _{ }^{ } _{ } |

Look at the

3 is less than 5 so we add 10 to the 3 in the units column giving us 13, and at the same time add 1 to be subtracted later from the tens column.

(Adding 10 to the units column is actually adding 10 to the final answer. Adding 1 to be subtracted from the tens column is actually subtracting 10 from the final answer. Therefore since 10 - 10 = 0, we have not changed the final answer, just made it easier to calculate.)

Now we have

^{ }9_{ }^{ }3_{ }^{ }0_{ }^{1}3_{ }- ^{ }1_{ }^{ }3_{ }^{ }1_{1}^{ }5_{ } |

^{ } _{ }^{ } _{ }^{ } _{ }^{ }8_{ } |

Look at the

0 is less than 1+1 so we add 10 to the 0 in the tens column giving us 10, and at the same time add 1 to be subtracted later from the hundreds column.

(Adding 10 to the tens column is actually adding 100 to the final answer. Adding 1 to be subtracted from the hundreds column is actually subtracting 100 from the final answer. Therefore since 100 - 100 = 0, we have not changed the final answer, just made it easier to calculate.)

Now we have

^{ }9_{ }^{ }3_{ }^{1}0_{ }^{1}3_{ }- ^{ }1_{ }^{ }3_{1}^{ }1_{1}^{ }5_{ } |

^{ } _{ }^{ } _{ }^{ }8_{ }^{ }8_{ } |

Look at the

3 is less than 3+1 so we add 10 to the 3 in the hundreds column giving us 13, and at the same time add 1 to be subtracted later from the thousands column.

(Adding 10 to the hundreds column is actually adding 1000 to the final answer. Adding 1 to be subtracted from the thousands column is actually subtracting 1000 from the final answer. Therefore since 1000 - 1000 = 0, we have not changed the final answer, just made it easier to calculate.)

Now we have

^{ }9_{ }^{1}3_{ }^{1}0_{ }^{1}3_{ }- ^{ }1_{1}^{ }3_{1}^{ }1_{1}^{ }5_{ } |

^{ } _{ }^{ }9_{ }^{ }8_{ }^{ }8_{ } |

Look at the

We have

^{ }9_{ }^{1}3_{ }^{1}0_{ }^{1}3_{ }- ^{ }1_{1}^{ }3_{1}^{ }1_{1}^{ }5_{ } |

^{ }7_{ }^{ }9_{ }^{ }8_{ }^{ }8_{ } |

So using the

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