Division of numbers in mathematics comes in different ways to express their answer in a correct form. They are real numbers called integers which is known as whole numbers.I will show you how to divide these numbers called integers. Division of numbers is very simple to simply,but there are elementary working you must known before you see your self as a mathematics gurus. First, we need to understand signs an their application or how they are used in mathematical operation. I mean :
+
-
And how their inverse is used in mathematics. We all know the usefulness of each sign plus or minus. In this post, we will focus on division of whole numbers and fractions.
The inverse application
We will look at the inverse of some given variables to get the inverse application or something like multiplicative inverse, it is also known as "Reciprocal"l
Example 1
Write the multiplicative inverse of the following directed numbers.
(1) 4
(2) -5
1
(3) - ------
23
4
(4) ------
13
-3
(5)---------
47
Solution
(1) 4
The inverse of 4 is:
1
-------- ( note)
4
This rules in mathematics so that you can solve questions similar to the one.
Also,
4
..................
1
= 4
(2) -5
The inverse of -5 is:
1
= ---------- (note)
- 5
1
(3) - -------
23
The inverse of -1/23 is:
- 23
Because -23/1
= -23 ( note)
4
(4) -----------
13
In the above question the inverse/reciprocal is :
13
= -------------
4
We have come conclusion of reciprocal of numbers which is also known as inverse of directed numbers. That was a great introduction of inverse numbers.
Let's look at some examples of divisions of directed numbers that involve fractions and whole numbers.
We have to remember the concept of multiplication of sign so that we will ba able to simplify any given question that involve division of directed numbers.aI mean something like:
Plus x minus is minus = + × - =
Minus x plus is minus = - × + = -
Minus x minus is plus = - × - = +
Plus x plus is plus = + × + = +
Similar
2
6 ÷ ----------
3
3 3
= 6 × ------------
1
3 × 3
= -------------------
1
= 9
NOTE :
The idea is, the same sign is positive, while different sign is negative.
Furthermore, the reciprocal of:
2 3
------------- is -----------
3 2
Example 2
Simplify the following directed numbers below.
10
(a) - 5 ÷ ----------
4
20 10
(b) ------------ ÷ - -------------
18 6
1 7
(c) ------------- ÷ ----------
14 2
Answer
10
(a) - 5 ÷ ----------
4
4
= - 5 -------------
10
= - × + = -
Then
5 cancelled it self 1 time and cancelled 10 2 times.
4
= - ------
2
= - 2
The answer is minus 2.
The working is simple enough to understand, just follow the concept.
20 10
(b) ---------------- ÷ - -------------
18. 6
20 6
= ---------- × - ---------
18. 10
2 1
= ------------- × - ---------
2
2 × 1
= ----------------
2 ×. 1
= - 1
Remember there is a minus sign at the right hand side of the fraction.
1 7
(c) -------------- ÷ -----------
14 2
1
1 2
= ------------- × ---------------
2
1 × 1
= --------------
2 × 7
1
= -----------
14
Another you should know is mathematics that, the reciprocal can only take place at the left hand side only.
I hope you have learn something in the above working,if you have any questions contact us through our contact pace for more information.
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