Sunday, March 3, 2013

Math Subtraction Facts

Introduction to math subtraction facts:

Subtraction is one of the basic arithmetic operations.There are various types of subtraction like taking out a number from given numbers, or in a measurement removing a small part of it in its own units. In math subtraction can be expressed as removing a portion of a given quantity expressed in the same unit as  given. In math subtraction is removing particular quantity from a given. Please express your views of this topic Proportion Solver by commenting on blog.

The basic types include,

1.subtraction without borrowing.

2.subtraction with borrowing.


Facts about Subtraction without borrowing :


This method is commonly applied to mathematical numbers where on digit of a number is smaller than the the corresponding digit of the number from which it is subtracted.

Example: 34-23=11.

one's place: 4-3=1

Ten's place: 3-2=1

The fact here is the digits of minuend are m1=3, m2 =4.Digits of the subtrahend are a1 = 2, a2 = 3. . Starting from the mathematical one's place, 4 is not less than 3 so the difference 1 is written down in the result's one place. In the ten's place, 3 is not less than 2 so the difference 1 is written down in the result's ten's place.


Facts about subtraction with borrowing.

In this method when a particular place digit is larger in a number which is subtracted from other.

Eg: 705 − 511=194

One's place: 5-1=4

Ten's place: 0 becomes 10. so 10-1=9.

Hundred's place: 7 becomes 6 by lending 1to 0. so 6-5=1.

The minuend digits are d3 = 7, d2 = 0 and d1 = 4. The subtrahend digits are a3 = 5, a2 = 1 and a1 = 1. Starting from the mathematical one's place, 5 is not less than 1 so the difference 4 is written down in the result's one place. In the ten's place, 0 is less than the value 1, so the 0 is increased to 10, and the difference with 1, which is 9, is written down in the ten's place. This method corrects for the increase of 10 by reducing the digit in the minuend's hundreds place by one. That is, the 7 is replaced by 6. The subtraction then proceeds in the hundred’s place, where 6 is not less than 5, so the difference is written down in the result's hundred's place. We are now done, the result is 194. Is this topic What are Real Numbers hard for you? Watch out for my coming posts.


Example problems for math subtracting facts:


1.100-40=60  Here  in mathematical the ten's position 4 is greater than 0 so 1 is borrowed an made 10. the difference of 10 and 4, 6 is written in the tenth position of result

2.35-11=24. Here the digits of  minuend are greater than the digits of the subtrahend.

3.67- 21= 46. In this problem  the digits of  minuend are greater than the digits of the subtrahend.


Practice problems on math subtracting facts:

1. 55-22 = 33 (Without  borrowing).

2.45-16 = 29 (Borrowing)

3. 88-59 = 29 (Borrowing)

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