Operator in math is a function which acts on two values ( operands). These operators are known as binar operators as they need two operands. There are four binary operators namely + , - , x , /. Operator are mainly consists of number of terms. For example, the assignment operator are used for assigning the values to a particular variable.
The four fundamental operations on numbers are Addition, Subtraction, Multiplication and Division. The operator of Addition is ‘+’, Operator of Subtraction is ‘-’, Operator for multiplication is ‘x’ and Operator for division is ‘÷’. Let us see about arithmetic operations with appropriate operator.
Explanation for various types of operator statement:
1. '+' is an operator statement:
For this operator, the addition operation and the string concatenation operation are included.
Addition operation is used for adding the two values that are given.
String concatenation are used for joining the two statements.
2. ++ is an increment operator:
For this, the values are incremented according to the given values.
3. -- is an decrement operator:
For this, the values are decrement according to the given values.
4. x is a multiplication operator:
I like to share this Mode Math Definition with you all through my article.
For this, the multiplication function and the pointer function are included.
Multiplication function is used to multiply the two given values.
Pointer are used for denoting the reference variable.
5. / is a division operator:
For this, the values are divided for getting the remainder and the quotient factor.
6. ^ exponential operator:
Exponential operator is used for raising the power to a function.
7. - mathematical operator:
For this, the subtraction and the negation process are included in this operator statement.
Subtraction operation is used for finding the difference of the given two numbers.
Examples using math operations:
Addition Operator ‘+’: For adding two or more numbers we use the ‘+’ operator. This operator is known as plus.Normally additions have two operands and one operator. For example x + y here ‘x’ and ‘y’ is called as operator and the symbol’+’ is called as operand.
Ex: Add 5 and 6.
Sol:
5 + 6 = 11
Where, ‘+’ is the operator of addition.
5 and 6 are operands.
11 is the resultant of the operation of addition.
Subtraction Operator ‘-’: For subtracting two or more numbers, the operator used is ‘-’. This operator is known as minus.
Ex : Subtract 11 and 5.
Sol: 11 – 5 = 6.
Where, ‘-’ is the operator of subtraction.
11 and 5 are operands.
6 is the resultant of the operation of subtraction.
Multiplication Operator ‘x’: For Multiplying two or more numbers, the operator used is ‘x’. This operator is known as into.
Ex : Multiply 12 and 5.
Sol: 12 x 5 = 60.
Where, ‘x’ is the operator of multiplication.
12 and 5 are operands.
60 is the resultant of the operation of multiplication.
Division Operator ‘÷’: For dividing two or more numbers, the operator used is ‘÷’. There is no special name for division operator.
Ex : Divide 10 by 5.
Sol: 10 ÷5 = 2.
Where, ‘÷’ is the operator of Division.
10 and 5 are operands.
2 is the resultant of the operation of division.
Additional Operators:
‘√’:
This operator is known as the square root.
Ex: Find Square root of 4?
Sol: √4 = 2.
Where, ‘√’ is the operator of square root.
4 is the operand.
2 is the resultant of the operation of square root.
Order of operations in math:
The order of operation is square root, division, multiplication, Subtraction and addition.
Ex: Calculate 5 + 6 – [(√4 ÷2) x 3].
Sol: 5 + 6 – [(2 ÷ 2) x 3]
5 + 6 – [1 x 3]
5 + 6 – 3
5 + 3
7
Steps and examples for addition operation in math:
Simple addition uses the following steps to adding the numbers.
Step 1: Add the first place number from the right (first number) first after that take over the carry to next step.
Step 2: Add the ten’s place number (means second digit) as well as also add the carry from the first step. Now note down the answer and over the carry.
Step 3 :Carry on this process on until reach the end place of the given number.
The followings are the some of the types of addition
Add single digit number with single digit
Add single digit number with double digit
Add three one digit numbers
Add double digit number with three digit number
Add double digit number with double digit number
Add treble digit number with treble digit number etc….
Example for Simple Addition :
Add single digit number with single digit:
Ex: Add 5 with 9
Sol:
5
(+) 9
----------- 14
Ex 2: Adding the following three one digit numbers.
9, 6 and 3
Sol:
Given numbers 9, 6 and 3
Step 1:
Add the first two numbers
9
(+) 6
----------------------
1 5
Step 2:
Add the next number with the previous step sum or total.
Previous step total =15
Third number =3
1 5
(+) 3
----------------------
1 8
Therefore 9 + 6 +3 =18
Algebra is widely used in day to day activities watch out for my forthcoming posts on solve this math problem for me and cbse guide for class 10. I am sure they will be helpful.
Ex 3: Add the following two numbers: 54 with 16
Sol:
Given numbers 54 and 16
Step 1:
Add the first digit (ones place) numbers (4+ 6 = 10) then over the carry (here 1 is the carry)
5 4
(+) 1 6
-----------
0
Step 2:
Add the second digit (tens place) numbers (5 +1 = 6) the add with previous step carry (6 +1 =7)
5 4
(+) 1 6
-----------
7 0
Finally we get 54 +16 = 70
Ex 4: Add the following two numbers: 15948 and 69741
Sol:
Given 15948 and 69741
1 5 9 4 8
(+) 6 9 7 4 1
------------------
Step 1:
Add the one place number then over the carry (8+1=9 carry =0)
1 5 9 4 8
(+) 6 9 7 4 1
------------------
9
Step 2:
Add the tens place number then over the carry (4+4 = 8 carry 0)
1 5 9 4 8
(+) 6 9 7 4 1
------------------
8 9
Step 3:
Add the hundreds place number then over the carry (9+7 =16 carry 1)
1 5 9 4 8
+) 6 9 7 4 1
------------------
6 8 9
Step 4:
Add the thousands place number (5+9 = 14) then add with carry from the above step (14 +1 = 15 carry 1)
1 5 9 4 8
(+) 6 9 7 4 1
------------------
5 6 8 9
Step 5:
Add the ten thousands place number (1+ 6=7) then add with previous step carry (7 + 1 =8)
1 5 9 4 8
(+) 6 9 7 4 1
------------------
8 5 6 8 9
Therefore 15948 + 69741 = 85689
Ex 5: Add 72 with 4.12
Sol:
Given numbers 72 and 4.12
Step 1:
Change the whole number into decimal form
Whole number =72
Decimal form = 72.00
Step 2:
7 2 .0 0
(+) 4. 1 2
--------------------
Start the addition process from the right
Step 3:
Add the first place number from the right and over the carry to the next step (0 +2 =2 carry =0).
7 2 .0 0
(+) 4. 1 2
--------------------
2
Step 4:
Add the next place number from the right and then add the carry with is step total. Finally over the carry to the next step (here 0 +1 =1 carry =0)
7 2 .0 0
(+) 4. 1 2
--------------------
. 1 2
Step 5:
Add the next place number from the right and then add the carry with is step total. Finally over the carry to the next step (here 2 +4 =6 carry =0)
7 2 .0 0
(+) 4. 1 2
--------------------
6. 1 2
Step 6:
Add the next place number from the right and then add the carry with is step total. Finally over the carry to the next step (here 7 +0 =7, carry =0)
7 2 .0 0
(+) 4. 1 2
--------------------
7 6 .1 2
72 + 4.12 =76. 12
Examples on multiplaction operation in math:
Ex 1: Multiply 10 with 5.
Sol: 10 x 5 = 15.
Where, ‘x’ is the operator of multiplication.
10 and 5 are the operands of multiplication.
15 is the resultant of the multiplication operation.
Ex 2: Simplify 10(5) + 20(2) + 9(3) + 4(1).
Sol: 15 + 40+ 27+ 4
86
Ex 3: A train has 9 carriages. There are 42 seats in each carriage. How many seats are there on the train?
Sol: Number of carriage = 9
Number of seats in each carriage = 42
Multiply number of carriages with number of seats in each carriage.
Number of seats in the train = 9 x 42
= 378.
Ex 4: There are five cupboards in a room. Each cupboard has 7 racks. Find how many racks totally the room has.
Sol: Number of cupboards = 5.
Number of racks in each cupboard = 7.
To find total number of rack, multiply the number of cupboard with number of racks in each cupboard.
Total number of rack = 5 x 7
= 35.
Ex 5: There are six baskets full of apple in a lorry. 1st basket contains 35 apples, 2nd and 3rd basket contains 40 apples, 4th, 5thth basket contains 50 apples. Calculate the total number of apples in the lorry. and 6
Sol: 35 apples in the 1 basket
40 apples in the 2 basket
50 apples in the 3 basket
Total Number of Apples = 35(1) + 40(2) + 50(3)
= 35 + 80 +150
= 265
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