Meaning of expressions
Introduction :
In mathematics, a meaning expression is a finite combination of symbols that are well formed according to the rules applicable in the context at hand. Symbols can designate values (constants), variables, operations, relations, or can constitute punctuation or other syntactic entities. The use of expressions can range from simple arithmetic operations like
`3+5 xx (((-2)^(7))-(3)/(2))`
Source: Wikipedia
More about meaning of expressions:
In algebraic expressions is a finite group of algebra terms and mathematical symbols combined with no equal or in equality sign.
Steps for solve meaning of expressions:
Step 1: Group the terms containing the identical variable collectively in algebra 2 simplifies expressions.
Step 2: carry out the operation inside the parentheses for the variable and other.
Step 3: revise the algebra expressions and simplifying the algebraic expressions.
Step 4: To make sure the equation, if there is able to simplify algebraic expressions and then repeat the step 1 to 4.
Example problems for meaning of expressions:
In solve for order of expressions, 12x2+4y2+42+4z2-16y2+4x2+18z2-24
Solution:
Step 1: Is to group like terms. Group the terms containing the same variable together. Group constants together.
(12x2+4x2)+(4y2-16y2)+(4z2+18z2)+(42-24)
Step 2: Is to carry out the operation inside the parentheses for the variable x.
(12x2+4x2)=16`xx` x2 = 16x2
Step 3: Is to carry out the operation inside the parentheses for the variable y.
(4y2-16y2)=-12y2
Step 4: Is to carry out the operation inside the parentheses for the variable z.
(4z2+18z2)=22z2
Step 5: Is to carry out the operation inside the parentheses for the constants.
42-24=16
Step 6: Is to revise the problem.
16x2-12y2+22z2+16
Since the left over terms are not like terms, the problem cannot be any further.
The correct answer is 16x2-12y2+22z+16
Order of operation for meaning of expressions:
In long math problems with +,-,x,%,(), and exponents in them, you have to identify what to do first. Without follow the same rules, you may get unlike answers. You can easily keep in mind the silly sentence, Big Elephants Destroy Mice And Snails, you can commit to memory the order of operations, and you must follow.
Big “B” means Brackets. We need to carry out operation in side parentheses first.
Elephants “E” means an exponent, you must calculate exponents next.
Destroy “D” means division. Begin on the left of the equation and perform all multiplication and divisions in the order in which they appear.
Mice “M” means multiply
And “A” means addition.
Snails “S” means subtract. For all time on the left hand side and carry out all additions and subtractions.
Example for order of operation for meaning of expressions:
To solve 21`-:`7(6-6)+4-4 using order of operations in algebra.
Solution:
=21`-:`7(6-6)+4-4
=21`-:`7(0)+4-4 where 21`-:`7 are `21/7`
=`21/7` `xx` 0+4-4
=3 `xx` 0+4-4
=0+4-4
=4-4
=0
Answer is 0
In mathematics, a meaning expression is a finite combination of symbols that are well formed according to the rules applicable in the context at hand. Symbols can designate values (constants), variables, operations, relations, or can constitute punctuation or other syntactic entities. The use of expressions can range from simple arithmetic operations like
`3+5 xx (((-2)^(7))-(3)/(2))`
Source: Wikipedia
More about meaning of expressions:
In algebraic expressions is a finite group of algebra terms and mathematical symbols combined with no equal or in equality sign.
Steps for solve meaning of expressions:
Step 1: Group the terms containing the identical variable collectively in algebra 2 simplifies expressions.
Step 2: carry out the operation inside the parentheses for the variable and other.
Step 3: revise the algebra expressions and simplifying the algebraic expressions.
Step 4: To make sure the equation, if there is able to simplify algebraic expressions and then repeat the step 1 to 4.
Example problems for meaning of expressions:
In solve for order of expressions, 12x2+4y2+42+4z2-16y2+4x2+18z2-24
Solution:
Step 1: Is to group like terms. Group the terms containing the same variable together. Group constants together.
(12x2+4x2)+(4y2-16y2)+(4z2+18z2)+(42-24)
Step 2: Is to carry out the operation inside the parentheses for the variable x.
(12x2+4x2)=16`xx` x2 = 16x2
Step 3: Is to carry out the operation inside the parentheses for the variable y.
(4y2-16y2)=-12y2
Step 4: Is to carry out the operation inside the parentheses for the variable z.
(4z2+18z2)=22z2
Step 5: Is to carry out the operation inside the parentheses for the constants.
42-24=16
Step 6: Is to revise the problem.
16x2-12y2+22z2+16
Since the left over terms are not like terms, the problem cannot be any further.
The correct answer is 16x2-12y2+22z+16
Order of operation for meaning of expressions:
In long math problems with +,-,x,%,(), and exponents in them, you have to identify what to do first. Without follow the same rules, you may get unlike answers. You can easily keep in mind the silly sentence, Big Elephants Destroy Mice And Snails, you can commit to memory the order of operations, and you must follow.
Big “B” means Brackets. We need to carry out operation in side parentheses first.
Elephants “E” means an exponent, you must calculate exponents next.
Destroy “D” means division. Begin on the left of the equation and perform all multiplication and divisions in the order in which they appear.
Mice “M” means multiply
And “A” means addition.
Snails “S” means subtract. For all time on the left hand side and carry out all additions and subtractions.
Example for order of operation for meaning of expressions:
To solve 21`-:`7(6-6)+4-4 using order of operations in algebra.
Solution:
=21`-:`7(6-6)+4-4
=21`-:`7(0)+4-4 where 21`-:`7 are `21/7`
=`21/7` `xx` 0+4-4
=3 `xx` 0+4-4
=0+4-4
=4-4
=0
Answer is 0