# CLASS-4RULES OF SUBTRACTION

SUBTRACTION

Subtraction is the deletion of any number or object from a collection of numbers or objects.

Till now you have learned how to subtract a number from a big number even how to subtract a number from a small number by regrouping, now you will learn the word problem of subtraction with logic.

There is a pattern of subtraction which are given below-

Minuend - Subtrahend =  Difference

To Be Remember –

‘Difference’ + ‘Subtrahend’ = ‘Minuend’

‘Minuend’ – ‘Difference’ = ‘Subtrahend’

The greater number is the ‘Minuend’ and the smaller number is ‘Subtrahend’.

Subtraction is a basic arithmetic operation that involves finding the difference between two numbers. Some of the key properties of subtraction are:

1. Subtraction is not commutative: This means that the order of the numbers matters when subtracting them. For example, 10 - 5 is not the same as 5 - 10. The result of the first subtraction is 5, while the result of the second subtraction is -5.
2. Subtraction is associative: This means that when subtracting three or more numbers, the grouping of the numbers does not affect the result. For example, (10 - 5) - 3 is the same as 10 - (5 - 3).
3. Subtraction has an identity element: The identity element for subtraction is 0. Subtracting 0 from any number results in that same number. For example, 10 - 0 = 10.
4. Subtraction is distributive over addition: This means that when subtracting a number from a sum of two numbers, you can either subtract the number from each addend individually and then add the results, or you can subtract the number from the sum of the two addends. For example, 10 - (5 + 3) is the same as (10 - 5) - (10 - 3).
5. Subtraction is an inverse operation of addition: This means that adding the difference between two numbers to one of the numbers will result in the other number. For example, 10 - 5 = 5, so 5 + 5 = 10.