SSC Real Numbers Exercise - 1.3 of 10th class

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 5ⁿ. Hence a non – terminating repeating decimal.

Denominator 400 = 2⁴
X 5² = 2ⁿ X 5^m  Hence a terminating decimal

Denominator is 5. Hence
a terminating decimal.

Denominator  8 = 2³ , consists of only 2’s. Hence a terminating decimal.

Denominator  125 = 5³. 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.

Real Number SSC Public Examination Maths