Introduction :
The numbers 0, 1, -1, 2, -2 … are known as integers of which 1, 2, 3 … are known as positive integers and -1, -2, -3… are known as negative integers. The collection of all integers are represented by the English letter Z. Thus Z = {…, -3, -2, -1, 0, 1, 2, 3…}. We observe that all whole numbers are integers.
Fundamental operations on integers solving online:
The followings are the fundamental operations on integer solving online:
Directed numbers:
East-west, right-left, up-down and profit-loss are few examples of opposites. Numbers associated with direction are known as directed numbers
Integers and order in numbers line:
Positive number zero and negative numbers together form integers. We can represent the set of integers by the letter Z. Therefore Z: … – 3, – 2, – 1, 0, + 1, + 2, + 3… + 1, + 2, + 3 … are known as positive integers. -1, – 2, – 3 … are named as negative integers.
Multiplication of integers:
Multiplication is a collection form of addition of the same number several times.
Division of integers:
Division is simply represented as repeated subtraction or equal distribution.
Examples for integers solving online:
The following examples used to describe the integers solving online:
Example 1:
Mary deposited six hundred rupees in the bank. She took the amount of two hundred rupees from the bank. How did she note this amount?
Solution:
Mary deposited Rs. 600 ?
Mary withdrew ? Rs. 200.
We use the symbols ?, ? and ?__? to represent the different positions
Example 2: Add (-2) with (-5).
First go to – 2. Then move left by 5 units. We reach – 7.
Therefore (– 2) + (– 5) = – 7.
Example 3: Subtract 3 from 7.
Solution:
Subtract 3 from 7 means, what should be added to 3 to give 7. Clearly the answer is 4.
Example 4: Multiply 2 and 3
Solution:
By repeated addition we get
2 × 3 = 2 + 2 + 2 = 6.
The product of two positive integers are positive integer.
The numbers 0, 1, -1, 2, -2 … are known as integers of which 1, 2, 3 … are known as positive integers and -1, -2, -3… are known as negative integers. The collection of all integers are represented by the English letter Z. Thus Z = {…, -3, -2, -1, 0, 1, 2, 3…}. We observe that all whole numbers are integers.
Fundamental operations on integers solving online:
The followings are the fundamental operations on integer solving online:
- Directed numbers
- Integers and order in number line
- Addition and Subtraction of integers
- Multiplication of integers
- Division of integers
Directed numbers:
East-west, right-left, up-down and profit-loss are few examples of opposites. Numbers associated with direction are known as directed numbers
Integers and order in numbers line:
Positive number zero and negative numbers together form integers. We can represent the set of integers by the letter Z. Therefore Z: … – 3, – 2, – 1, 0, + 1, + 2, + 3… + 1, + 2, + 3 … are known as positive integers. -1, – 2, – 3 … are named as negative integers.
Multiplication of integers:
Multiplication is a collection form of addition of the same number several times.
Division of integers:
Division is simply represented as repeated subtraction or equal distribution.
Examples for integers solving online:
The following examples used to describe the integers solving online:
Example 1:
Mary deposited six hundred rupees in the bank. She took the amount of two hundred rupees from the bank. How did she note this amount?
Solution:
Mary deposited Rs. 600 ?
Mary withdrew ? Rs. 200.
We use the symbols ?, ? and ?__? to represent the different positions
Example 2: Add (-2) with (-5).
First go to – 2. Then move left by 5 units. We reach – 7.
Therefore (– 2) + (– 5) = – 7.
Example 3: Subtract 3 from 7.
Solution:
Subtract 3 from 7 means, what should be added to 3 to give 7. Clearly the answer is 4.
Example 4: Multiply 2 and 3
Solution:
By repeated addition we get
2 × 3 = 2 + 2 + 2 = 6.
The product of two positive integers are positive integer.
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