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Maths True False[1 Marks ]

Numbers System · Jharkhand Board (JAC) STD 9 (Jharkhand - English Medium). 15 questions.

Questions

True False[1 Marks ]

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15 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark
State whether the following statement are true or false. Give reason for your answer. Every rational number is a whole number.
Answer
False. Explanation: As rational numbers are of the form $\frac{\text{p}}{\text{q}}$ where $\text{q}\neq0.$ Whole numbers are natural numbers together with a zero. For example, $\frac{5}{7}$ is a rational number but not a whole number.
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Question 21 Mark
State whether the following statement are true or false. Give reason for your answer. Every rational number is an integer.
Answer
False. Explanation: As rational numbers are of the form $\frac{\text{p}}{\text{q}}$ where $\text{q}\neq0.$ Integers are negative and positive numbers which are not in $\frac{\text{p}}{\text{q}}$ form. For example, $\frac{1}{2}$ is a rational number but not an integer.
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Question 31 Mark
State whether the following statement are true or false. Give reason for your answer. Every integer is a whole number.
Answer
False. Explanation: Whole numbers are natural numbers together with a zero whereas integers include negative numbers also.
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Question 41 Mark
State whether the given statement is true of false. The sum of two irrational numbers is irrational.
Answer
$\big(2+\sqrt{3}\big)+\big(2-\sqrt{3}\big)=4$
Here, $4$ is a rational number.
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Question 51 Mark
State whether the given statement is true of false. The product of a nonzero rational number and an irrational number is a rational number.
Answer
False. Explanation: $(4)\times\sqrt{5}=4\sqrt{5}$ Here, $4\sqrt{5}$ is an irrational number.
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Question 61 Mark
State whether the given statement is true of false. $\pi$ is irrational and $\frac{22}{7}$ is rational.
Answer
True.
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Question 71 Mark
State whether the given statement is true of false. The product of two rational numbers is rational.
Answer
True.
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Question 81 Mark
State whether the following statement are true or false. Give reason for your answer. Every integer is a rational number.
Answer
True. Explanation: As rational numbers are of the form $\frac{\text{p}}{\text{q}}$ where $\text{q}\neq0.$ All integers can be represented in the form $\frac{\text{p}}{\text{q}}$ where $\text{q}\neq0.$
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Question 91 Mark
State whether the given statement is true of false. Every real number is either rational or irrational.
Answer
True.
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Question 101 Mark
State whether the given statement is true of false. The sum of a rational number and an irrational number is irrational.
Answer
True.
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Question 111 Mark
State whether the given statement is true of false. The product of two irrational number is irrational.
Answer
$\sqrt{3}\times\sqrt{3}=3$
Here, $3$ is a rational number.
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Question 121 Mark
State whether the following statement are true or false. Give reason for your answer. Every whole number is a natural number.
Answer
As whole numbers contain natural numbers and $0$ whereas natural numbers only contain the counting numbers except 0.
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Question 131 Mark
State whether the following statement are true or false. Give reason for your answer. Every natural number is a whole number.
Answer
since natural numbers are counting numbers i.e $N = 1, 2,...$ Whole numbers are natural numbers together with $0.$ i.e $W = 0, 1, 2,...$ So, every natural number is a whole number.
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Question 141 Mark
State whether the given statement is true of false. The sum of two rational numbers is rational.
Answer
True.
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Question 151 Mark
State whether the given statement is true of false. Every real number is rational.
Answer
False. Explanation: Real numbers can be divided into rational and irrational numbers.
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