Fourth Grade Math Expressions

Introduction to fourth grade math expressions:

Fourth grade math expressions involve the process of solving basic math expressions using arithmetic symbols. The algebraic expressions with arithmetic symbols are referred as fourth grade math expressions. For fourth grade students, the simple math expressions include addition, subtraction, division and multiplication. The elementary math expressions are solved for fourth grade students. The following are the example math expressions with detailed solutions for fourth graders.

Fourth Grade Math Expressions Examples:

Fourth grade math expressions are divided into four sections as Basic Math Operation, Fractions, Integers Operations, Combining like terms of Variables. The example problems are discussed below with step by step detailed solution for fourth graders. The solved problems are under arithmetic categories.

Basic Math Operations:

Fourth grade math expressions mainly cover addition, subtraction, multiplication, and division problems

1) Solve, 3(4+3) – 9 + 3(4)

Solution:
= 3(7) – 9 + 12
= 21 + 3
= 24

2) Solve, 5 + `8/4` * 5 + 5

Solution:
= 5 + 2 * 5 + 5
= 5 + 10 + 5
= 20

3) Solve, 6^2 + 7^2  

Solution:

= (6 * 6) + (7 * 7)
= 36 + 49
= 85

Fractions:

Fraction is one of the parts of fourth grade math expressions. Simplify the following (Write in mixed number if any of the answer is an improper fraction)

1) Solve` (2/3) + (1/5)`

Solution:

Take LCM as 15
= `(10/15) + (3/15)`

Add the above terms.
` = (10+3) / 15 `

` = 13/15`

2) Solve` (3/5) - (1/6)`

Solution:

Take LCM as 30
` = (18/30) - (5/30)`

Add the above terms.
=` (18 - 5) / 30`


=` 13/30`

Integer Operations:

Integer operation deals with performing math operations with integers such as positive and negative integers.

1) Solve, 11(–7)
= – 77

2) Solve, –81 / –3
= –27 / –1
= 27

3) Solve, –14 – (–3)
= –14 + 3
= –11

Variables – Combining Like Terms:

Variables plays major role in fourth grade math. Simplifying variables by combining like terms helps to calculate the value of the variable.

1) Solve, 5x + 3 – 3x
= 5x – 3x + 3
= 2x + 3

2) Solve, y + 2y – 2 + 5
= 3y + 3


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Fourth Grade Math Expressions Practice Problems:

The following are the fourth grade math problems for self practicing.

1) Simplify the math expressions.

4^2 + (2 * 4) – 4

Solution: 20

2) Simplify the math expressions.

(–2)2 + 8 – 10 – 6

Solution: - 4

3) Simplify the math expressions.

8x + 4y – 8 + 4y – 2x

Solution: 6x + 8y – 8

Rational Expressions

Expression is a finite combination of symbols that are well formed and rational expressions is that where the numerator and the denominator or both of them are polynomials. You can practice rational expressions problems with expert and highly qualified tutor vista tutors. Our tutors help you out to learn the concept of rational expressions and have a gaining ground over the topic.

It includes the concepts of polynomial fractions. Get help with rational expressions online and gain valuable math learning.


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Introduction:

Polynomial fractions are declaring the rational expression, usual fractions you can do with rational expressions. When dealing with rational expression, you will frequently need to estimate the appearance, and it can be useful to know which values would cause division by zero, so you can pass up these x-values. Ratio of two polynomials is declaring the rational expression.

Definition:

A rational number is a few number that can be printed in the form a/b, there are a is specified the integer and b is also specified the integers and b ? 0. It is needed to declare exclude 0 because the fraction specified the fraction and division by zero is undefined.

Rules

Each problem by factoring everything you can.
Retain information that, even with all the difficult looking functions, a rational expression is just a fraction: you control them using all the rules of fractions that you are common with.
Two rational expressions same to both other. It is known as the rational equation. Rational expression goal is specified the solve for x, it is locate the x value that create the equation is true.

Simplifying Rational Expressions
Simplifying rational expressions becomes easy with little help. Following is a detail explanation of rational expression examples. A rational expression is more than a fraction in which the numerator and/or the denominator are polynomials.

x/52

The x is specified the numerator and 52 is specified the denominator
The 52 is specified denominator, it is a constant, the expression is known as for all real number values of x.

102/x

The 102 is called the numerator and x is called the denominator
Denominator is represents the x is a variable, expression is approximate specified x=0

Basic Method

`(a)/(b)=``(ad)/(bd)`

Additional method

`(a)/(b)+(c)/(b)=(a+c)/(b)`

subtraction method

`(a)/(b)-(c)/(b)=(a-c)/(b)`

Multiplication method

`(a)/(b).(c)/(d)=(ac)/(bd)`

Division method

`(a)/(b)-:(c)/(b)=(ad)/(bc)`

Example

1.  `(10)/(30)`+ `(5)/(20)`

= `(20+15)/(60)`

=  `(35)/(60)`

=   `(7)/(12)`

2.     `(60x^(3))/(80x^(2))`   =   `(10x^(2).6x)/(10x^(2).8)`

=    `(10x^(2).6x)/(10x^(2).8)`

=     `(6x)/(8)`

=   `(3x)/(4)`

3.     `(40)/(60)`       = `(4.10)/(6.10)`         

=  `(4)/(6)`

4.  `(x-5)^(2)`

`x^(2)+25-10x-` `x^(2)+11x`

x+25

5.   `(8)/(6)` -`(5)/(8)`

=   `(32-15)/(24)`

=`(17)/(24)`

6.  `x^(2)+8x = -16`

`x^(2)+16+8x =0`   

`(x+4)^(2)=0`

`x=-4`

Practice problem:

1.`(8x+16)/(4y)` =      `(2x+4)/(y)`

2.  `(4x+2)/(4)`    =   x +  `(1)/(2)`