Find The Difference Math

Introduction to Find the Difference math:

Math uses various operations from which the given expressions can be evaluated. In math, Subtraction is an operation for which the difference between two terms can be manipulated. There are some rules for finding the difference for the given two numbers. In this article, we shall solve the math problems to find the difference between two numbers. Also the math problems are available to find the difference between two numbers with answers.

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Example problems to find the difference math:

Example 1:

Find the difference of 17 and 5.

Solution:

The given sentence can be expressed as 17 – 5

Now subtract 5 from 17,

1 7

–   5

12

We get the result, 12

Therefore the difference of 17 and 5 is 12.

Example 2:

Find the difference of 17 and – 5.

Solution:

The given sentence can be expressed as 17 – (– 5).

Rewrite the expression as 17 + 5, since (– * – = +)

Now add the terms,

1 7

+   5

2 2

We get the result, 22

Therefore the difference of 17 and –5 is 22.

Example 3:

Find the difference of –17 and 5.

Solution:

The given sentence can be expressed as –17 –5

Rewrite the expression, –(17 + 5)

Now add 17 and 5,

1 7

+  5

2 2

Put the minus sign before the answer.

We get the result, –22

Therefore the difference of –17 and 5 is –22.

Example 4:

Find the difference of –17 and – 5.

Solution:

The given sentence can be expressed as –17 – (– 5)

Rewrite the expression as –17 + 5

Now subtract 5 from 17,

1 7

–   5

1 2

Now put the sign of the greater number.

Here 17 is the greater number and its sign is – .

We get the result, –12

Therefore the difference of –17 and –5 is –12.

Practice problems to find the difference math:

Problem 1:

Find the difference of 25 and 10.

Answer: 15

Problem 2:

Find the difference of 25 and –10.

Answer: 35

Problem 3:

Find the difference of –25 and 10.

Answer: –35

Problem 4:

Find the difference of –25 and –10.

Answer: –15

Learning Algebra Questions

Introduction to learning algebra questions:

For learning algebra questions, it is necessary to solve or workout the algebra questions by own. This way of learning makes the students to be good in their subject.  Algebra deals with solving unknown values called variables with the help of known variables. In algebra, we continually use letters to represent numbers. Algebra questions include real numbers, complex numbers, matrices, vectors etc. An algebraic expression contains constants, operating symbols, such as plus and minus signs and constants. The learning method can be explained in the following examples.


Learning algebra Questions examples:


Q 1:  Evaluate the following quadratic equation.   x ^2 - 3x = 0

Sol :    Given
x ^2 - 3x = 0

Take X factor as common
x (x - 3) = 0

So the product x (x - 3) to be equal to zero, then we get

x = 0 or x - 3 = 0

Solve the above simple equations to obtain the solutions.
x = 0
or
x = 3

X= 0 or 3

Q 2:   Evaluate the quadratic equation   x ^2 - 5 x + 6 = 0

Sol :   To factor the expression, we write the equation x ^2 - 5 x + 6 in the form factored:

x ^2 - 5 x + 6 = (x + a)(x + b)

So that the sum of a and b is -5 and their product is 6. The numbers that satisfy these conditions are - 2 and - 3. Hence
x ^2 - 5 x + 6 = (x - 2)(x - 3)

Substitute into the original equation and solve.
(x - 2)(x - 3) = 0

(x - 2)(x - 3) is equal to zero if
x - 2 = 0
or
x - 3 = 0

Solve the above equations to get the solution

x = 2
or
x = 3

x= 2 or 3


Practice for learning algebra questions:


Q 1:   Evaluate the quadratic equation   x ^2 - 6 x + 9 = 0

Ans : x = ±3

Q  2:  Evaluate the following quadratic equation.   x ^2 - 6x = 0

Ans :   x= 0 or 6

Active Learning Theory

Introduction to active learning theory:

Active learning theory is a sunshade word to submit to numerous representation of teaching to center the dependability of learning. Bonwell popularized this advance to training. This buzz word of the 1980s develops into their 1990s account toward the organization used for the Study of Higher Education. This statement they converse a diversity of methodologies for help active learning. Though according toward plan resembling active learning urbanized away of the effort of an former collection of theorists persons support, discovery learning.


Active learning theory:


Though here is rejection problem to apprentice must be occupied through learning with cognitively active, some examine contain well-known to organism performance active through original learning know how to be harmful to schema acquisition.

Alternative activity theory while those appoint with interrelate by their atmosphere, manufacture of apparatus consequences. These apparatus are exteriorized structure of psychological method, with as these psychological procedures are noticeable in apparatus, they develop into further willingly available with transmissible to new group, fetching constructive for public communication.
It contain be optional to apprentice who actively connect by the objects are further probable toward be reminiscent in sequence, except some glowing recognized writer contain dispute this maintain is not glowing maintain through the journalism. Quite than individual behaviorally lively through learning, propose beginner must be cognitively active.


Active learning theory: Learning by teaching


A well organized instructional approach to combine direction by active learning through training. This approach permits apprentice to educate the original satisfied toward every supplementary. They should be perfectly direct through coach. This technique be initiate through the early on 1980s, particularly within Germany, with is currently glowing recognized within every point of the instructive scheme. Learning through education is combination of behaviorism with cognitive also propose a coherent structure for assumption with follow.

Active learning theory and Policy

Strategy might be fulfilled through representative the instructional efficiency of instruction. Rubrics are a high-quality method to estimate active learning foundation training. These instructional apparatus know how to be use to explain the variety of dissimilar behavior of some action. Stipulation known toward the apprentice, they know how to supply additional assistance.

Active Learning Theory

Introduction to active learning theory:

Active learning theory is a sunshade word to submit to numerous representation of teaching to center the dependability of learning. Bonwell popularized this advance to training. This buzz word of the 1980s develops into their 1990s account toward the organization used for the Study of Higher Education. This statement they converse a diversity of methodologies for help active learning. Though according toward plan resembling active learning urbanized away of the effort of an former collection of theorists persons support, discovery learning.


Active learning theory:


Though here is rejection problem to apprentice must be occupied through learning with cognitively active, some examine contain well-known to organism performance active through original learning know how to be harmful to schema acquisition.

Alternative activity theory while those appoint with interrelate by their atmosphere, manufacture of apparatus consequences. These apparatus are exteriorized structure of psychological method, with as these psychological procedures are noticeable in apparatus, they develop into further willingly available with transmissible to new group, fetching constructive for public communication.
It contain be optional to apprentice who actively connect by the objects are further probable toward be reminiscent in sequence, except some glowing recognized writer contain dispute this maintain is not glowing maintain through the journalism. Quite than individual behaviorally lively through learning, propose beginner must be cognitively active.


Active learning theory: Learning by teaching


A well organized instructional approach to combine direction by active learning through training. This approach permits apprentice to educate the original satisfied toward every supplementary. They should be perfectly direct through coach. This technique be initiate through the early on 1980s, particularly within Germany, with is currently glowing recognized within every point of the instructive scheme. Learning through education is combination of behaviorism with cognitive also propose a coherent structure for assumption with follow.

Active learning theory and Policy

Strategy might be fulfilled through representative the instructional efficiency of instruction. Rubrics are a high-quality method to estimate active learning foundation training. These instructional apparatus know how to be use to explain the variety of dissimilar behavior of some action. Stipulation known toward the apprentice, they know how to supply additional assistance.

Define Pie Chart

Pie charts are circular graphs that have different  sections, that are used for organizing a set of data. These pie charts are represented by comparing  the data by using fractions or percentages, with each section  proportional to the fraction or percentage that it represents in the data set . These chart are generally  used in corporate reports, especially to show budget or financial data. These charts  are  so named as "Pie charts" because of its similarity  to a pie that is sliced into pieces.


Defnition of Pie chart


A Pie chart consists of a circle divided into several partitons normally it does not exceed more than 6. Area of each part is called slice .Each part  is of the same percentage of the circle as the component it reperesents is of the whole data set. Also called circle diagram  or sector graph.


Advantages of Pie charts:


Pie charts are easy to read and understand if they are designed appropriately . These pie charts are very effective to show the data , if the intent was to compare one section to another. Understanding Definition of Statistics is always challenging for me but thanks to all math help websites to help me out.

The best way to make these charts more readable is to make them fill with different colors and to display sections in clockwise direction ,from larger to smaller section.

Learning About Calculus

Introduction of learning about calculus:

In calculus there are various process is involves for create many tools of differential theoretical aspects. Geometrical and kinematic significance for first and second order derivatives were also interpreted. Now let us learn some practical aspects of differential calculus. It contains differential calculus and integral calculus. The applications of Calculus are Statistics, Science, Business and Engineering. Having problem with Left Hand Riemann Sum keep reading my upcoming posts, i will try to help you.


Concept of learning differential calculus:


At this level we shall consider about problems concerned with the applications to (i) plane geometry, (ii) theory of real functions, (iii) optimization problems and approximation problems.

Derivative as a rate measure:

If a quantity y depends on and varies with a quantity x then the rate of change of y with respect to x is dy / dx.. Example a rate of changes of current ‘i’ is di / dt and a rate of change of temperature ‘?’ is d? / dt and so on.

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Integral calculus and its applications:


The direct evaluation of definite integrals is about the limit for integral total. The integrands are very simple, direct calculation of definite integrals as the limit of integral total involves great complex. Sometimes this method involves cumbersome computations.

The formula called Second Fundamental Theorem on Calculus about that yields a practical and particular method for calculating definite integrals in case where the anti-derivative of the integrand is known. This method which was discovered by Newton and Leibnitz utilizes ‘the profound relationship’ that exists between integration and differentiation.

In this learning Integral calculus, we have the five sections dealing with the concept and applications of definite integrals:

(i)  To solve simple problems using theorem of calculus.

(ii)  Properties of definite integral.

(iii) Reduction formulae learning

(iv) Area under the curve and volume of solid of revolution about an axis.

(v)  Length of the curve and the surface area of a solid of revolution about an axis.

Surface Area Learning

Introduction to lateral surface learning:
Lateral surface area in a solid is the sum of the surface areas of all its faces without the base of the solid. Or Lateral surface area means the area of the sides only -- without the top and bottom. Lateral surface area is found for an object around its outer area. Lateral surface area are usually expressed in terms of some square units.


lateral surface area learning formula:


Formula for Lateral surface area:

Cube = 4b^2, where b is the base of a cube

Sphere is 4pr^2, where r is the radius of the sphere.

Cone = p × r × l, where r and l are the radius and slant height of the cone

Cylinder = 2prh, where r is the radius and h is the height of the cylinder

Right triangular pyramid = 3 × area of lateral faces

Pentagonal prism = 5 × area of each rectangle

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Examples for learning of lateral surface area:

Example 1:

Find the lateral surface area of a pentagonal prism, if a = 5 cm and b = 14 cm.

Solution:

Step 1: In the given figure, the base of the prism is a regular pentagon.

Step 2: All five rectangles are congruent.

Step 3: Lateral surface area of the prism = 5 × area of each rectangle

Step 4: = 5 × 5 × 14 [Substitute the values.]

Step 5: = 350

So, Lateral surface area of the pentagonal prism = 350 cm2.

Example 2:

Height and radius of the cone is 5yard and 7 yard.Find the lateral surface area of the given cone.

Solution: Lateral surface area of the cone = prl

Step 1:Slant height of the cone, l =v(25+49)      [l =vr2+h2.]

l = 8.6 yard

Step 2: Lateral surface area = 3.14 × 7 × 8.6   [As r = 7 andl = 8.6]

=

So, the lateral surface area of the cone = 189.03 sq yd.

Practice problem for lateral surface area learning;

1) Find the lateral surface area for of a sphere radius (r) = 3cm ?

Answer:  113.04