True False With Reason

Question 12 Marks

Answer whether the following statements are true or false? Give reasons in support of your answer.
Every rational number is a whole number.

Answer

False.Explanation:
Rational numbers include fractions but set of whole number does not include fractions.

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Question 22 Marks

Answer whether the following statements are true or false? Give reasons in support of your answer.
Every integer is a whole number.

Answer

False.Explanation:
Set of whole numbers contains only zero and set of positive integers, whereas set of integers is the collection of zero and all positive and negative integers.

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Question 32 Marks

Answer whether the following statements are true or false? Give reasons in support of your answer.
Every rational number is an integer.

Answer

False.Explanation:
Rational numbers are represented in the form of fraction. Integers can be represented in the form of fractions but all fractions are not integers. For example: $\frac{3}{4}$ is a rational number but not an integer.

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Question 42 Marks

Find whether the following statement are true or false:
Every real number is either rational or irrational.

Answer

True.Explanation:
True, because rational or an irrational number is a family of real number. So every real number is either rational or an irrational number.

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Question 52 Marks

Answer whether the following statements are true or false? Give reasons in support of your answer.
Every whole number is a natural number.

Answer

False.Explanation:
Whole numbers start from zero and natural numbers start from one.

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Question 62 Marks

Find whether the following statement are true or false:$\pi$ is an irrational number.

Answer

True.Explanation:
True, because the decimal representation of an irrational is always non-terminating or non-repeating. So $\pi=3.141...$ is an irrational number.

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Question 72 Marks

Answer whether the following statements are true or false? Give reasons in support of your answer.
Every natural number is a whole number.

Answer

True.Explanation:
Natural numbers belong to whole numbers.

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Question 82 Marks

Answer whether the following statements are true or false? Give reasons in support of your answer.
Every integer is a rational number.

Answer

True.Explanation:
It can be written in the form of a fraction with denominator 1.

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Question 92 Marks

Find whether the following statement are true or false:
Irrational numbers cannot be represented by points on the number line.

Answer

False.Explanation:
False, because we can represent irrational numbers by points on the number line.

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Maths True False With Reason

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