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A binary operation is one which takes two numbers and combines them into one. +,-,* and / are all binary operations.

If you start with 4 numbers and apply one binary opeartion (to two of the numbers) you are left with three. After two binary operations you are left with two numbers and after three binary operations you are left with only one number. You cannot, therefore, carry out the fourth binary operation if you start with four numbers.

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Q: How do you make 19 out of 1 2 3 5 and multiplication division adding and subtracting one time?
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What conclusions can you make about relation of division and multiplication?

Division is the inverse operation to multiplication.


How do you make 3 plus 4 equals 5 without any division multiplication and subtracting?

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We can calculate this quickly by subtracting by 1000 (over-subtracting) and then adding 4 to make up for it. Thus we get 1003 + 4 = 1007.


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