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 2m X 5n. Hence a non – terminating repeating decimal.
Denominator 400 = 24 X 52 = 2n X 5m 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.