Five Thirty Eight

Introduction to five thirty eight:

Five thirty eight is represented in number form as 538. Thus five hundred thirty eight has five of hundred and three of ten and eight one. Thus the total sum of five hundred and three ten and eight ones is equal to five thirty eight. In this article we see about five thirty eight with some example problem related to five thirty eight. Is this topic Teaching Distributive Property hard for you? Watch out for my coming posts.

Five Thirty Eight:

Let us see the example problem of five thirty eight.

Example Problem – Five Thirty Eight:

Example 1:

Write the expand form of five thirty eight.

Solution:

We can split the five thirty eight as five hundred and thirty and eight.

Number form of five hundred is 500 and thirty as 30 and eight is 8.

Now we get the expand form of five thirty eight is added the five hundred and thirty and eight.

538 = 500 + 30 + 8

Answer: Expand form of five thirty eight is 500 + 30 + 8

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Five Thirty Eight:

Example 2:

Which of the following expression give the result as five thirty eight?

Option:

a)     500 – 30 + 8

b)    30 – 500 + 8

c)     500 + 30 + 8

d)    500 * 30 * 8

Solution:

Check the expressions which give five hundred fifty.

Option a: 500 – 30 + 8, give the result as 478.

Option b: 30 – 500 + 8, give the result as -442

Option c: 500 + 30 + 8, by adding the five hundred and thirty and eight give as result as five thirty eight.

Option d: 500 * 30 * 8, the product of 500 and 30 and 8 give the result as 120000

Hence the expression which has given in option c gives the result as five thirty eight

Answer: Option c - - - > 500 + 30 + 8

Now clear about the five thirty eight.

Multiplication Times Tables

Introduction for multiplication times tables:

Multiplication is the arithmetical operation of calculating one value with another value. This is a one kind of operations in basic arithmetic. Multiplication is nothing but the repeated addition. For example: 3 * 4 = 12 , so it represents 3 + 3 + 3 + 3  = 12, therefore for adding the number 4 simultaneously 3 times we get 12. Multiplication times tables is useful for making the multiplication process more easy. I like to share this Double Digit Multiplication Practice with you all through my article.

Multiplication Times Tables:

x	0	1	2	3	4	5	6	7	8	9	10	11	12
0	0	0	0	0	0	0	0	0	0	0	0	0	0
1	0	1	2	3	4	5	6	7	8	9	10	11	12
2	0	2	4	6	8	10	12	14	16	18	20	22	24
3	0	3	6	9	12	15	18	21	24	27	30	33	36
4	0	4	8	12	16	20	24	28	32	36	40	44	48
5	0	5	10	15	20	25	30	35	40	45	50	55	60
6	0	6	12	18	24	30	36	42	48	54	60	66	72
7	0	7	14	21	28	35	42	49	56	63	70	77	84
8	0	8	16	24	32	40	48	56	64	72	80	88	96
9	0	9	18	27	36	45	54	63	72	81	90	99	108
10	0	10	20	30	40	50	60	70	80	90	100	110	120
11	0	11	22	33	44	55	66	77	88	99	110	121	132
12	0	12	24	36	48	60	72	84	96	108	120	132	144

How to Find Answers Using Multiplication Times Tables:

First we have to see the numbers what we have to multiply. Let's take we have to multiply 8 and 8 so the answer can be easily found from the table. First we have to find 8 in the first column, and find 8 in the first row. Then we to see the intersecting cell. In the chart the intersecting cell of 8 and 8 has 64. So 64 is the answer for 8 times of 8. This is how we find the answers form multiplication from the multiplication times tables

Example problems using multiplication times tables

1) 7 x 7 = 49

2) 10 x 11 = 110

3) 8 x 1 = 8

4) 1 x 9 = 9

5) 5 x 6 = 30

6) 4 x 8 = 32

7) 3 x 2 = 6

8) 7 x 3 = 21

9) 8 x 3 = 24

10) 12 x 2 = 24

Distance of Earth from Sun

Introduction to distance of earth from sun:

Earth, as we all know, is the third planet from Sun. Earth revolves around Sun in an elliptical orbit. Due to the orbit of Earth being elliptical and not perfectly circular, the distance between Sun and Earth varies with the position of Earth.

Mean Distance between Earth and Sun
As it is very difficult to be able to continuously measure the distance between Earth and Sun, distances at the farthest and closest points are determined and the mean distance is calculated from them and used as a reference. These two points are:

Aphelion: Earth is farthest from Sun at Aphelion. This occurs during summer in the Northern Hemisphere - around the first week of July. The distance of Earth from Sun at Aphelion is about 152 million km (94.4 million miles).
Perihelion: Earth is closest from Sun at Perihelion. This occurs during winter in the Northern Hemisphere - around the first week of January. The distance of Earth from Sun at Perihelion is about 147 million km (91.3 million miles).
The mean distance between Earth and Sun (calculated from the mean of the distance at Aphelion and distance at Perihelion) is 149.5 million km.

Mathematically it can be expressed as:

Mean distance between Earth and Sun = (Distance at the farthest point or Aphelion + Distance at the closest point or Perihelion) / 2

= (152 + 147)/2 million km

= 149.5 million km

The exact value of the distance from Earth and Sun has been established as 149, 597, 870.7 kilometers (92,955,887.6 miles) and is also called 1 astronomical unit (or AU).

Implications on Distance of Earth from Sun

While we may think that Earth-Sun distance is critical in maintaining average temperatures on Earth and hence using a mean value would be misleading. But this is not true. The variation in distance due to the elliptical orbit is 5 million km. (This can be calculated by subtracting the distance at Perihelion from the distance at Aphelion. i.e. 152 – 147 million km.) This is a very small percentage of the actual distance between Earth and Sun (149.5 million km) and hence does not cause a significant change in the average temperatures on Earth.

Basic Concepts of Mathematics

Introduction - basic concepts of mathematics:
From the basic concepts of mathematics have a different topic with the accurate solutions of integer to fractions, subtraction, measurement, number sense, multiplication, functions, mixed numbers, division, median problems, place value, ordering decimals. Basic mathematics is essential to the students for the upcoming higher grade.  In this article we shall discuss about basic concepts of mathematics. Is this topic Vertex Calculator hard for you? Watch out for my coming posts.

Example Problems - Basic Concepts of Mathematics:

Example 1:

Adding the positive numbers:` (+31) + (+8)`

Solution: The sum of two positive numbers will be a positive numbers.

` (+31) + (+8) = +39`

Solution is `39.`

Example 2:

Adding the positive numbers: `(+13) + (+14) =?`

Solution: The sum of two positive numbers will be a positive numbers.

` (+13) + (+14) = +27`

Solution is `27.`

Basic concepts of mathematics -Subtraction of negative numbers:

Example 1:

Subtracting the negative numbers: `(1) - (19)`

Solution: while subtracting the two numbers, the result carries sign of larger number

`(1) - (19) = -18`

Solution is `-18` .

Example 2: Subtracting the negative numbers:` (23) - (5)`

Solution: The sum of two negative numbers will be a negative number.

`(23) - (5) = 18`

Answer is `18.`

Example 3: Get the value form the expanded form `9xx 10000 + 5xx 1000 + 5 xx 10`

Solution:  `9xx 10000 + 5 xx 1000 + 5xx 10`

`= 90000 + 5000 + 50`

` => 95050.`

Basic concepts of mathematics - multiplication problems:

Example 1:

Multiply the two numbers: `11 xx7`

Solution:

Here `11` is multiplicand

`7` is multiplier

Step1: Multiply the ones term,

Step 2: Multiply the second term (tens)

Final answer is `77` .

Example 2:

Multiply the two numbers: `12 xx 9`

Solution:

Here `12` is multiplicand

`9` is multiplier

Answer is `108`

Numbers using words - basic concepts of mathematics:

Example problem 1:

Write a number using words: `95`

Solution:

`=95`

`5` is ones place

`9` is tens place.

`=90+5 =` ninety + five

So that `95` is become in a word, ninety five.

Example problem 2:

Write a number using words: `65`

Solution:

`=65`

`5` is ones place

`6` is tens place.

`= 60+ 5=` sixty + five

So that `65` is become in a word, sixty-five. I have recently faced lot of problem while learning free online math help live, But thank to online resources of math which helped me to learn myself easily on net.

Practice Problems- Basic Concepts of Mathematics:

Problem 1:

Sum of positive integers:` (+7) + (+7)`

Result: `12`

Problem 2:

Sum of positive integers: `(+7) + (+1)`

Result: `8`

Problem 3:

Sum of positive integers: `(+7) + (+2)`

Result: `9`

Applied and Computational Mathematics

Introduction to applied and computational mathematics:
In this article we learn about applied and computational mathematics problems. In applied mathematics we solve more advanced math problems. Applied mathematics is advanced method of school level mathematics. Computational mathematics is involving research of some important math topics. Computational mathematics involves areas, volume, symbolic methods and numerical methods. Applied and computational mathematics problems are easily solved by using formulas. Now in this article we solve some applied mathematics problems. Having problem with Computational Formula for Standard Deviation keep reading my upcoming posts, i will try to help you.

Example Problems for Applied and Computational Mathematics

Find the first derivative of the given step function f(x) =`{ (9x + 5 if x gt1), (3x^4 + 4x if x lt 1):}`

Solution:

Given step function is f(x) =` { (9x + 5 if x gt1), (3x^4 + 4x if x lt 1):}`

From the given,

f1(x) = 9x + 5 if x > 1

And

f2(x) = 3x4 + 4x if x < 1

Differentiate the given functions f1(x) and f2(x) with respect to x, we get

f1'(x) = 9

And

f2'(x) = 12x3 + 4

Combining the two functions, we get

f'(x) = `{ (9 if x gt1), (12x^3 + 4 if x lt 1):}`

Answer:

The final answer is f'(x) = `{ (9 if x gt1), (12x^3 + 4 if x lt 1):}`

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Applied and Computational Mathematics Example Problem 2:

Find the double integral value of the given function   `int_0^3int_0^(14)`y dy dx

Solution:

Given function is  `int_0^3int_0^(14)`y dy dx

Here range of x is 3 to 0 and y range is 14 to 0

Integrate the function with respect to 'y'. So, we get

= `int_0^3int_0^(14)`y dy dx

Integrate the coordinates separately, we get

`int_0^(14)`y dy `int_0^3` dx =   `[y^2/2]` 0(14) *  `int_0^3` dx

= `((14^2/2) - 0) xx (x)_0^3`

Substitute the limits in the above equations, in this first substitute the upper limits and then substitute lower limits.

= `(98 - 0)` * `((3) - 0)`

After subtracting, we get

= 98 * 3

After simplifying the above step, we get

= 294

Answer:

The final answer is 294

Essentials of Discrete Mathematics

Definition of Discrete mathematics:

The essential of discrete mathematics is significant one in computer evaluation. It give details the algorithms and theory for computer enhancement.The essential of discrete mathematics is the study of exact structure that are basically discrete relatively than nonstop. In difference to real numbers that have the possessions of varying "effortlessly", the objects are deliberate in essential of discrete mathematics  such as integers, graphs, and statements in logic do not differ smoothly in this way, but have dissimilar, separated values.

Discrete Mathematics Topics

Theoretical computer science:

Calculating area for essential of discrete mathematics is incorporated in theoretical computer science. If we desire to study the result of mathematical computation, use this theoretical science. Model computer systems are utilizing the method algebra.

Information theory:

Quantification of information is anxious with information theory. In this, coding theory is used since it sketch the chart strongly and honest data transmission.

Logic:

Valid reason and assumption philosophy are measured by logic. Truth tables are use in normal logic.

Graph theory:

Graphs and networks are calculated by graph theory. It is used for observe the problem result.

Probability:

The actions are significant the countable samples and dense with discrete probability theory.

Algebra:

Boolean algebra along with relational algebra use the discrete examples. Topology, geometry, calculus, game theory and numeral theory also concern of  the essential of discrete mathematics.

Examples of Discrete Mathematics
Question: 1

Find n.

i) (n+2)!=12*11(n!)

Answer:

(n+2) (n+1)n!=12*11(n!)

(n+2)(n+1)=12*11

`n^2` +3n-130=0

(n-10)(n+13)=0

n=10 or n= -13

n=10(n cannot be negative)

ii) `1/(7!) +1/(8!) = n/(9!)`

`1/(7!) + 1/(8!) = n/(9.8(7!))`

Answer:

`1 + 1/8 = n/(9.8)`

`9/8 = n/(72)`

`n= (9 * 72)/8 = 81`

n =  81

Question: 2

A lady wants to select one cotton saree and one polyster saree from a collection of 8 cotton sarees and 11 polyster sarees. In how many ways can the lady choose the two sarees?

Answer:

Here, there are two events E1 and E2.
E1 = Selection of one cotton saree from 8 cotton sarees.
E2 = Selection of one polyster saree from 11 polyster sarees.
E1 = 8 ways E2 = 11 ways

Question 3

i)`20!+(19!)/(18!)` ii)`30!-(28!)/(26!)` iii) `8!+(6!)/(7!)`

Answer

i)                    `20!+(19!)/(18!)= 19!(20+1)/(18!)=19*(18!)*21/(18!)=19*21=399`
ii)                  `(30!-28!)/(26!)=28!((30*29)-1)/(26!)=28*27*869=656964`
iii)                `(8!+6!)/(7!)=6!(8*7+1)/(7!)=57/7`

Null Meaning

Introduction to Null Meaning

In mathematics, the word null meaning that zero or none. The zero elements in set or value of zero is said to be null set. This is symbolized as F. We are using this symbol for differentiating null from zero. We can also denote the null set as { }. In this article, we will see example problems of null meaning. Is this topic Correlation Coefficient Example hard for you? Watch out for my coming posts.

Example Problems - Null Meaning

Example 1:

Find the intersection of two sets P and Q, where P = {1,2,3,4} and Q = {5,6,7}.

Solution:

Given sets are, P = {1,2,3,4} and Q = {5,6,7}.

We need to find intersection of sets P and Q.

That is represented as PnQ.

PnQ = {The common elements in P and Q}.

Here, There is no common element in P and Q.

Thus, PnQ = { }

The answer is null set.

Example 2:

Consider a set, P = {x: x2 = 16 and 3x = 10} is a null set.

Solution:

Given, P = {x: x2 = 16 and 3x = 10}.

When, x = 4 => x2 = 42 = 16

But, 3x = 3(4) = 12.

Therefore, there is no numerical value that satisfies both conditions.

So, the set P is a null set. I have recently faced lot of problem while learning math help for college students, But thank to online resources of math which helped me to learn myself easily on net.

Example Problems - Null Meaning

Example 3:

Consider the set of rectangles that have five numbers of faces.

Solution:

We know that, the total sides of rectangle = 4.

So, there is no rectangle shape that having 5 sides.

Set of rectangles that have five numbers of faces = { }.

Thus, the given condition is null set.

Example 3:

Consider the set of triangles that have seven numbers of faces.

Solution:

We know that, the total sides of triangle = 3.

So, there is no triangle shape that having seven sides.

Then, Set of triangles that have seven numbers of faces = { }.

Thus, the given condition is null set.

That’s all about null meaning.