## SSC Real Numbers Exercise – 1.3 of 10th class

** SSC Real Numbers Exercise – 1.3**

- Positive or negative, Large or small, whole numbers or decimal numbers are all
**Real Numbers.**

They are called “**Real Numbers**” because they are not Imaginary Numbers.

## **EXERCISE – 1.**3

**1Q. write the following rational numbers in their decimal form and also. State which are terminating and which are non – terminating , repeating decimals.**

** **

**= 0.18 is a non terminating, repeating decimal.**

**Denominator is not of the form 2 ^{m} X 5^{n}. Hence a non – terminating repeating decimal**.

**Denominator 400 = 2 ^{4
}X 5^{2} = 2^{n} X 5^{m} Hence a terminating decimal **

**Denominator is 5. Hence
a terminating decimal.**

**Denominator 8 = 2 ^{3} , consists of only 2’s. Hence a terminating decimal.**

**Denominator 125 = 5 ^{3}. Hence a terminating decimal.**

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**Definition of Real Number : **

- Positive or negative, Large or small, whole numbers or decimal numbers are all
**Real Number**. - They are called “ Real Numbers ” because they are not Imaginary Numbers.
- The type of numbers we normally use , such as 1, 15.82, -0.1, ¾, etc…

**Definition of Imaginary Numbers :**

- A number that when squared gives a negative result.
- When we square a Real Number ( multiply it by itself ) we always get a positive, or zero, result. For example 2 X 2 = 4, and ( -2 ) X (-2 ) = 4 as well.

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.. The real numbers include all the rational numbers, such as the integer -5 and the fraction 4/3, and all the irrational numbers, such as the square root of 2, an irrational algebraic.

**JOHN NAPIER ( 1550 – 1617 ) :**

JOHN NAPIER is best known as the discoverer of logarithms. He also invented the so – called “ **Napier’s bones** “ and made common the use of the decimal point in arithmetic and mathematics.

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