AK SINGH TEACHING MATHS

CLASS 6 MATHS NOTES

noreply@blogger.com (aksingh school) — Sun, 08 May 2022 11:59:00 +0000

Prime Numbers

noreply@blogger.com (aksingh school) — Sat, 23 Apr 2022 05:34:00 +0000

Prime Numbers are those numbers which can be divided by itself and 1 only for example 1,3,5,7,11,13.......ans so on.

For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself.

Irrational Numbers

noreply@blogger.com (aksingh school) — Sat, 23 Apr 2022 05:28:00 +0000

An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. All most all real numbers are irrational

Like all real numbers, irrational numbers can be expressed in positional notation, notably as a decimal number. In the case of irrational numbers, the decimal expansion does not terminate, nor end with a repeating sequence . For example, the decimal representation of

π

starts with 3.14159, but no finite number of digits can represent

π

exactly, nor does it repeat.

Rational Numbers

noreply@blogger.com (aksingh school) — Sat, 23 Apr 2022 05:10:00 +0000

Rational numbers: They represents the ratios of two integers. The set of all rational numbers is countable.A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

For example - 3/4 is a rational number.

24/8 is a rational number.

1.1 is a rational number → 11/10

π is irrational, as it cannot be represented as a fraction of two integers. (Read 22/7 is rational but π is not rational, so what is the ratio for π? for clarification

The digits in pi go on for infinity, but they never repeat. A number whose digits go on for infinity without repeating is irrational.

Any decimal number that terminates is rational because it can be written with a power of ten in the denominator

9.2651 = $\frac{92651}{10000}$

Any decimal number that ends in repeating digits is rational because the value of those repeating digits can be written as a fraction.

6.4212121212121… = $\frac{2119}{330}$

ational number, in mathematics, a number that can be represented as the quotient p/ q of two integers similar that q ≠ 0. In addition to all the pieces, the set of rational figures includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator. In decimal form, rational figures are moreover terminating or repeating numbers. For illustration,1/7 = 0.142857, where the bar over 142857 indicates a pattern that repeats ever

Even Numbers

noreply@blogger.com (aksingh school) — Sat, 23 Apr 2022 04:58:00 +0000

Even Numbers are those numbers that can be divided into two equal groups or pairs and are exactly divisible by 2. For example, 2, 4, 6, 8, 10, and so on.

ODD NUMBERS

noreply@blogger.com (aksingh school) — Fri, 22 Apr 2022 06:02:00 +0000

A whole number that is not able to be divided by two into two equal whole numbers The numbers 1, 3, 5, and 7 are odd numbers.

Odd numbers are positive integers that cannot be categorized into groups of two. For example: 1, 3, 5, 7, etc. Let's visualize it using an example of footwear and cherries. Let us assume that we have footwear in counts of 1, 3, 5, and 7. On the other hand, we have cherries in pairs of 2, 4, 6, and 8. Look at the image given below in order to understand how the pairing of these numbers will work.

Properties of Odd Numbers

If you try to carry out a few arithmetic operation the odd numbers, can you come to a common conclusion of all of the numbers? Well yes, there does exist a set of properties that applies not only for the odd numbers given in the list of 1 to 200 but are applicable to any odd number that you may come across. Given below is a list of the properties that will always apply for an odd number. Each of these properties can be explained in a detailed way as given below:

Addition: The addition of two odd numbers will always give an even number, i.e., the sum of two odd numbers is always an even number. For example, 3 (odd) + 5 (odd) = 8 (even).
Subtraction: subtract of two odd numbers will always give an even number. For example, 7 (odd) - 1 (odd) = 6 (even).
Multiplication: it is of two odd numbers will always give an odd number. For example, 3 (odd) × 7 (odd) = 21 (odd).
Division: division of two odd numbers will always give an odd number. For example, 33 (odd) ÷ 11 (odd) = 3 (odd).

Natural Numbers

noreply@blogger.com (aksingh school) — Fri, 22 Apr 2022 05:59:00 +0000

A natural number is a number that occurs commonly and obviously in nature. As such, it is a whole, non-negative number. The set of natural numbers, denoted N, can be defined in either of two ways: N = {0, 1, 2, 3, ..} , N = (1, 2, 3, 4, .)

Whole Numbers

noreply@blogger.com (aksingh school) — Fri, 22 Apr 2022 05:53:00 +0000

Number which are started from 0 are called whole numbers.

For Example: 0, 1, 2, 3, 4, 5, 6, and 7 are all whole numbers. Numbers such as -3, 2.7, or 3 ½ are not whole numbers.

Let's sing!

Zero, one, two, three and four.

Whole numbers are many more.

Go on! Count on my friend!

Whole numbers just don’t end!

Fun Facts

There is no 'largest' whole number.
Except 0, every whole number has an immediate predecessor or a number that comes before.
A decimal number or a fraction lies between two whole numbers, but are not whole numbers.

CLASS(9th) NUMBER SYSTEM

noreply@blogger.com (aksingh school) — Fri, 22 Apr 2022 05:15:00 +0000

NUMBER SYSTEM

Types Of Number System

POLYNOMIALS

noreply@blogger.com (aksingh school) — Fri, 25 Mar 2022 03:50:00 +0000

Poly means many and nomials means terms so polynomial is working with many terms.
According to term they are of three types
Monomial-one term
Binomial -two term
Trinomial-three term

According to degree they are also three types
Linear polynomial-Degree One
Quadratic polynomial-Degree Two
Cubic polynomial-Degree Three

HINDI GRAMMAR

noreply@blogger.com (aksingh school) — Sat, 12 Mar 2022 04:10:00 +0000

विराम चिन्ह
संज्ञा
सर्वनाम
क्रिया
विशेषण
लिंग
संधि
संस्कृत शब्द रूप
अनेकार्थी शब्द
एकार्थक शब्द
अनेक शब्दों के लिए एक शब्द
विलोम शब्द
पर्यायवाची शब्द
रस
कारक
समास
शब्द विचार
वर्णमाला
पद परिचय
वाक्य
क्रिया विशेषण
समुच्चय बोधक
विस्मयादिबोधक
वचन
उपसर्ग
प्रत्यय
छन्द
अलंकार
पर्यायवाची शब्द
तत्सम-तद्भव शब्द
मुहावरे
हिंदी निबंध

ENGLISH GRAMMAR

noreply@blogger.com (aksingh school) — Sat, 12 Mar 2022 03:58:00 +0000

Nouns

The easy way to remember nouns is that they relate to people, places, or effects. Indeed impalpable or abstract generalities like ideas or studies are effects. In the following rulings, the nouns are stressed
.
Sally does n’t use an iPhone. Jared does n’t eat subs. The Earth isn't the center of the macrocosm.

Pronouns
Pronouns are words that replace nouns I, me, she, we, they, who, that, yours, his, her, etc.
Pronouns need antecedents. That means that the thing (or person, or place) that the pronoun refers to requirements to have been mentioned formerly by name nearly before in the judgment orparagraph.However, the anthology can get relatively confused, If it’s not clear which thing the pronoun refers to.

I swam in the ocean. You swam in the ocean. He swam in the ocean. She swam in the ocean. It swam in the ocean.
Adjectives
Adjectives are descriptive words that add detail to a judgment. They can give important or necessary information (e.g., Please hand me the blue paper), or they can just make the judgment more intriguing (e.g. A frigid wind blew around the icy city). Adjectives describe nouns. Please suture the red dress. The rainfall is hot and sticky. The stuffed toy is fuzzy and round.

Verbs
Verbs are action words that’s a rather simplified explanation, but it’s the clearest one. Verbs tell you what the subject of the judgment is over to.

He ran into the wall. She buys new shoes. The cat licks its fur.
Adverbs
Adverbs describe verbs, adjectives, or indeed a whole judgment. Adverbs frequently end with the suffix-ly (for illustration, poorly, hungrily), but some look the same as their adjective forms (for illustration, the word presto is used as both an adjective and adverb).

Prepositions
Prepositions are little words that tell where or when (among other effects) commodity is. The monkey is on his reverse. The cement is behind the board. The dreamcatcher is above the bed.

Convergences
Convergences are words like and, but, and or that connect generalities, clauses, or corridor of rulings.

I wanted to meet her there on time, but I got stuck in business. You ca n’t wear socks and sandals.

Exclamations
Exclamations are words like wow and yay. They ’re sounds we make to convey extreme emotion or to produce emphasis when we ’re talking, occasionally when we ca n’t suppose of a good way to express ourselves. The problem with exclamations is that they bear a great deal of environment to be understood. For case, hey can mean hello, or that’s great, or stop doing that. Hey! How’s it going? Wow! Those fireworks are emotional. Yay! I passed math

LAWS OF REFLECTION

noreply@blogger.com (aksingh school) — Thu, 10 Mar 2022 05:28:00 +0000

Light is known to behave in a very predictable manner. If a ray of light could be approaching and reflecting off of a mirror, then the behavior of the light as it reflects would follow a predictable law known as the law of reflection. The diagram below illustrates the law of reflection.

In the illustration, the shaft of light approaching the glass is known as the incident shaft ( labeled I in the illustration). The shaft of light that leaves the glass is known as the reflected shaft ( labeled R in the illustration). At the point of prevalence where the shaft strikes the glass, a line can be drawn vertical to the face of the glass. This line is known as a normal line ( labeled N in the illustration). The normal line divides the angle between the incident shaft and the reflected shaft into two equal angles. The angle between the incident shaft and the normal is known as the angle of prevalence. The angle between the reflected shaft and the normal is known as the angle of reflection. (These two angles are labeled with the Greek letter"theta" accompanied by a subscript; read as"theta-i"for angle of prevalence and"theta-r"for angle of reflection.) The law of reflection countries that when a shaft of light reflects off a face, the angle of prevalence is equal to the angle of reflection.

Total Words: 177

PHOTOSYNTHESIS

noreply@blogger.com (aksingh school) — Thu, 10 Mar 2022 05:22:00 +0000

Photosynthesis is the process by which plants use sunlight, water, and carbon dioxide to create oxygen and energy in the form of sugar and carbohydrates

HOW TO GET GOOD MARKS IN MATHS

noreply@blogger.com (aksingh school) — Thu, 10 Mar 2022 05:02:00 +0000

Many of us believe that to score high in Mathematics one should have an extraordinary brain. But this is not true. Maths is a subject which develops a rational thinking and a logical approach in a student. It is quite difficult for a student to fall in love with Mathematics overnight but here are a few tips to enhance your Mathematics score.

FOLLOW THESE STEPS

1. Maintain a separate register for formulae, theories, and methods

This subject is all about formulae, theories, concepts and you are always suggested to keep them handy. You can read them even when you are on the go. This practice is really useful when you are doing your last minute revision.

2. Find solutions yourself

It is good to go through various types of problems, but at the same time, you should also make sure that you solve them for yourself. It is easy to learn the theories and concepts but to learn their application is not that simple. So, if you want to score full marks in Mathematics, you need to solve each question by yourself, at least 3 to 4 times.

3. Understand the Syllabus

Having a clear understanding of your syllabus and weight to various sections will definitely help you to decide how much time you should dedicate to each section. For example, if you are aware that there will be a 5 mark question from a specific section, then you don’t have to spend too much time on such questions.

4. Determine the areas of Improvement

Realizing the areas where you need to focus more will definitely help you to score better. Solving sample papers, writing tests can help you to find those sections in which you need more practice so that you can improve the scores.

Things to consider during Examination

5. Keep the exam paper clean

You should keep in mind that the examiner has to understand every step of your answer and in most of the cases he would not be having much time to spend on a single answer. Avoid overwriting and cutting clean margins for rough work.

6. Answer in steps

Whenever you go through an answer, ensure to pay special attention to the steps that helped you to reach out to get the answer. You cannot simply write the answer and get full marks in Maths, so simply paying attention to the figures is wastage of time. Instead of all this, learn to keep the steps involved. You will definitely secure some marks for each step.

7. Attempt the Familiar questions

Read the question paper thoroughly before you begin to solve the questions. It is very normal to get stuck on the questions which you are not aware of but simply remember that you have a stipulated time to attend the paper. In order to score high in Maths, you must attend the questions you know and then move on to the unfamiliar ones.

CBSE TEACHER

noreply@blogger.com (aksingh school) — Wed, 09 Mar 2022 06:09:00 +0000