# January 2023

## Variance in Statistics: Definition, Formulas, Properties, and Examples

The variance is a widely used concept in probability and descriptive statistics for measuring the variability of the given data. The variance is a technique for determining the various terms in finance. It is just the same as the standard deviation but it is measured in squared units. Let us explore the term variance. What …

## рд╕рдВрдЦреНрдпрд╛ рд░реЗрдЦрд╛ рдкрд░ рд╡рд╛рд╕реНрддрд╡рд┐рдХ рд╕рдВрдЦреНрдпрд╛рдУрдВ рдХрд╛ рдирд┐рд░реВрдкрдг рдХрдХреНрд╖рд╛ 9рд╡реАрдВ (Representation of Real Numbers on the Number Line Class 9th)

рдкрд┐рдЫрд▓реА рдХрдХреНрд╖рд╛рдУрдВ рдХреА рдЬрд╛рдирдХрд╛рд░реА рдХреЗ рдЕрдиреБрд╕рд╛рд░, рд╣рдо рд╕рдВрдЦреНрдпрд╛ рд░реЗрдЦрд╛ рдкрд░ рд╡рд┐рднрд┐рдиреНрди рдкреНрд░рдХрд╛рд░ рдХреА рд╕рдВрдЦреНрдпрд╛рдУрдВ рдХреЗ рдирд┐рд░реВрдкрдг рд╕реЗ рдкрд░рд┐рдЪрд┐рдд рд╣реИрдВ рдЬреИрд╕реЗ рдкреНрд░рд╛рдХреГрдд рд╕рдВрдЦреНрдпрд╛рдУрдВ, рдкреВрд░реНрдг рд╕рдВрдЦреНрдпрд╛рдУрдВ, рдкреВрд░реНрдгрд╛рдВрдХреЛрдВ рдФрд░ рдкрд░рд┐рдореЗрдп рд╕рдВрдЦреНрдпрд╛рдУрдВ рдХреЗ рдирд┐рд░реВрдкрдг рд╕реЗред рдЗрд╕ рднрд╛рдЧ рдореЗрдВ, рд╣рдо рдЕрдкрд░рд┐рдореЗрдп рд╕рдВрдЦреНрдпрд╛рдУрдВ рд╕рд╣рд┐рдд рд╕рдВрдЦреНрдпрд╛ рд░реЗрдЦрд╛ рдкрд░ рд╡рд╛рд╕реНрддрд╡рд┐рдХ рд╕рдВрдЦреНрдпрд╛рдУрдВ рдХреЗ рдирд┐рд░реВрдкрдг (Representation of Real Numbers on the Number Line) рдХреЗ рдмрд╛рд░реЗ …

## Representation of Real Numbers on the Number Line Class 9th

As per the knowledge of the previous classes, we are familiar with the representation of different types of numbers on the number line like the representation of natural numbers, whole numbers, integers, and rational numbers. In this section, weтАЩll learn the representation of real numbers on the number line including irrational numbers also. WeтАЩll represent …

## How can you Understand the Acids, Bases, and Salts?

Many acids and bases occur naturally in nature such as citric acid in fruits like oranges, lemons, etc. The tartaric acid in tamarind, malic acid in apples, etc. The same goes for the bases like lime water, silicate, etc. We normally use many of the acids and bases in our daily life like vinegar, boric …

## рд╡рд╛рд╕реНрддрд╡рд┐рдХ рд╕рдВрдЦреНрдпрд╛рдУрдВ рдХрд╛ рджрд╢рдорд▓рд╡ рдкреНрд░рд╕рд╛рд░ рдХрдХреНрд╖рд╛ 9рд╡реАрдВ (Decimal Expansion of Real Numbers Class 9th)

рдЬреИрд╕рд╛ рдХрд┐ рд╣рдо рдЬрд╛рдирддреЗ рд╣реИрдВ рдХрд┐ рд╕рднреА рдкрд░рд┐рдореЗрдп рд╕рдВрдЦреНрдпрд╛рдУрдВ рдФрд░ рдЕрдкрд░рд┐рдореЗрдп рд╕рдВрдЦреНрдпрд╛рдУрдВ рдХреЗ рд╕рдВрдЧреНрд░рд╣ рдХреЛ рд╡рд╛рд╕реНрддрд╡рд┐рдХ рд╕рдВрдЦреНрдпрд╛рдПрдБ рдХрд╣рд╛ рдЬрд╛рддрд╛ рд╣реИред рдЗрд╕ рднрд╛рдЧ рдореЗрдВ рд╣рдо рд╡рд╛рд╕реНрддрд╡рд┐рдХ рд╕рдВрдЦреНрдпрд╛рдУрдВ рдХреЗ рджрд╢рдорд▓рд╡ рдкреНрд░рд╕рд╛рд░ (Decimal Expansion of Real Numbers) рдЕрд░реНрдерд╛рдд рдкрд░рд┐рдореЗрдп рд╕рдВрдЦреНрдпрд╛рдУрдВ рдФрд░ рдЕрдкрд░рд┐рдореЗрдп рд╕рдВрдЦреНрдпрд╛рдУрдВ рдХреЗ рджрд╢рдорд▓рд╡ рдкреНрд░рд╕рд╛рд░ рдХрд╛ рдЕрдзреНрдпрдпрди рдХрд░реЗрдВрдЧреЗред рд╕рдмрд╕реЗ рдкрд╣рд▓реЗ, рд╣рдо рдкрд░рд┐рдореЗрдп рд╕рдВрдЦреНрдпрд╛рдУрдВ рд╕реЗ рдкреНрд░рд╛рд░рдВрдн рдХрд░рддреЗ рд╣реИрдВред …

## Decimal Expansions of Real Numbers Class 9th

As we know that collections of all rational numbers and irrational numbers are known as real numbers. In this section, we shall study decimal expansions of real numbers means decimal expansions of rational numbers and irrational numbers. First, we start with rational numbers. Decimal Expansions of Rational Numbers Rational numbers are in the form of …