MATHS CLASSES

10th CLASS

9th CLASS

8th CLASS

TSPSC

VRO AND VRA

# 10th class maths Real Numbers exercise 1.3

10th class maths 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

2Q. without performing division, state whether the following rational numbers will have a terminating decimal form of a non–terminating, repeating decimal form.

Note : We check whether the denominator is of the form 2n . 5m or not ? If yes, the rational number can be expressed as a terminating decimal.

If not, it can’t be expressed as a terminating decimal.

3125 = 5 X 5 X 5 X 5 X 5

3125 = 55

1600 = 2 X 2 X 2 X 2 X 2 X 2 X 5 X 5

1600 =  26 X 52

343 = 7 X 7 X 7

343 = 73  (  Not of the form 2n . 5m )

The denominator is of the form 2n . 5m

Denominator is not of the form 2m X 5n

#### 10th class maths real numbers exercise 1.3

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.

Real Number SSC Public Examination Maths

Reasoning

Study Meterials

Free Video Classes