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.

10th class maths real numbers exercise 1.3

10th class maths real numbers exercise 1.3

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

10th class maths real numbers exercise 1.3

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

1600 =  26 X 52

10th class maths real numbers exercise 1.3

343 = 7 X 7 X 7

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

10th class maths real numbers exercise 1.3

The denominator is of the form 2n . 5m

10th class maths real numbers exercise 1.3

Denominator is not of the form 2m X 5n

10th class maths real numbers exercise 1.3

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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


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