Number Line and Integers Class 9 Mathematics

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12 Questions

Which term is used to represent the integers on a number line?

Rational numbers

What do the points to the left of O represent on the number line?

Negative integers

Why are numbers of the form q0 considered rational numbers?

Because they can be represented as ratios of two integers

Which word does the term 'rational' originate from?

'Ratio'

What set is used to denote the collection of rational numbers?

Q (Rational numbers)

What does the term 'unit length' refer to in the context of the number line?

An equal length to set off distances on both sides of a point

Why is 0 considered a rational number?

Because it can be expressed in the form $0=0$.

Which of the following statements correctly explains why every natural number is a rational number?

Because every natural number can be written in the form $n = n/1$.

What defines the simplest form of a rational number according to the information provided?

Having the numerator and denominator as co-prime integers.

Based on the text, what makes two rational numbers equivalent?

Having a common factor other than 1.

How are equivalent rational numbers related to each other, as per the text?

They have different numerators but the same denominator.

What characteristic defines whether a rational number is in its simplest form?

Having the smallest absolute values for both numerator and denominator.

Understand how to represent integers on a number line by setting off equal distances to the right and left of a point, with positive integers to the right and negative integers to the left.

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