Ix STD Fa1 Mathematics
Mary Immaculate School
IX STD FA1
MATHEMATICS
Questions and Answers
- 1.
A number line consists of ___________________ number.
- A.
Natural
- B.
Whole
- C.
Integer
- D.
None
Correct Answer
C. IntegerExplanation
A number line consists of integer numbers because it includes all the whole numbers, both positive and negative, as well as zero. Natural numbers only include positive whole numbers starting from 1, while whole numbers include natural numbers and zero. Therefore, the correct answer is integer.Rate this question:
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- 2.
Numbers which include Zero Are called____________________
- A.
Natural Numbers
- B.
Irrational Numbers
- C.
Whole numbers
- D.
Odd numbers
Correct Answer
C. Whole numbersExplanation
Whole numbers include zero. They are a set of numbers that includes all the natural numbers (positive integers) and zero. Natural numbers are only the positive integers, irrational numbers are numbers that cannot be expressed as a fraction, and odd numbers are integers that are not divisible by 2. Therefore, the correct answer is whole numbers.Rate this question:
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- 3.
Integers are denoted by________________________
- A.
N
- B.
W
- C.
Z
- D.
Q
Correct Answer
C. ZExplanation
Integers are denoted by the letter Z. This is a standard mathematical notation used to represent the set of whole numbers, including both positive and negative numbers, as well as zero. The letter Z comes from the German word "Zahlen," which means numbers.Rate this question:
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- 4.
The number which is in the form of P/q,q≠0, Such numbers are called as____ numbers
- A.
Rational
- B.
Irrational
- C.
Natural
- D.
None
Correct Answer
A. RationalExplanation
The correct answer is "Rational". Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. These numbers can be written in the form of P/q, where P and q are integers and q is not equal to zero.Rate this question:
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- 5.
Every whole number is a natural number
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
Every whole number is a natural number because the set of natural numbers includes all positive integers starting from 1, and whole numbers include both positive integers and zero. Since every whole number is a positive integer or zero, it is also a natural number. Therefore, the statement is true.Rate this question:
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- 6.
Zero is a rational number
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
Zero is considered a rational number because it can be expressed as a fraction, where the numerator is 0 and the denominator is any non-zero number. In this case, the fraction would be 0/1. Since the definition of a rational number is any number that can be expressed as a fraction, including integers, zero fits this definition and is therefore a rational number.Rate this question:
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- 7.
Fraction form of 3.142678 is____________________
Correct Answer
3142678/1000000Explanation
The given fraction form, 3142678/1000000, is the correct representation of the decimal number 3.142678. To convert a decimal to a fraction, the decimal is written as the numerator and the denominator is determined by the number of decimal places. In this case, there are six decimal places, so the denominator is 10^6, which equals 1000000. Therefore, the fraction form of 3.142678 is 3142678/1000000.Rate this question:
- 8.
The decimal form of 382/1000 is ________________
Correct Answer
0.382Explanation
To find the decimal form of a fraction, we divide the numerator by the denominator. In this case, 382 divided by 1000 equals 0.382. Therefore, the decimal form of 382/1000 is 0.382.Rate this question:
- 9.
The product of 6√5 and 2 √5 is _________________
Correct Answer
60Explanation
The product of two square roots can be found by multiplying the numbers inside the square roots and then simplifying if possible. In this case, the numbers inside the square roots are both 5. Multiplying 6 and 2 gives us 12. Therefore, the product of 6√5 and 2√5 is 12√5. However, since the square root of 5 cannot be simplified further, the final answer is 12 multiplied by the square root of 5, which is 12√5.Rate this question:
- 10.
The division of 8√7 by 4√7 is __________________
Correct Answer
2Explanation
When dividing two numbers with the same radical, we can simplify the expression by canceling out the common radical. In this case, both numbers have the radical √7. By dividing the coefficients (numbers outside the radical), which are 8 and 4, we get 8/4 = 2. Therefore, the division of 8√7 by 4√7 is 2.Rate this question:
- 11.
The numbers which are not rational are called ___________
Correct Answer
Irrational NumbersExplanation
The numbers which are not rational are called irrational numbers. Irrational numbers cannot be expressed as a fraction or ratio of two integers and their decimal representation goes on infinitely without repeating. Examples of irrational numbers include the square root of 2 (√2), pi (π), and the golden ratio (φ). These numbers are important in mathematics and have unique properties that distinguish them from rational numbers.Rate this question:
- 12.
Every rational number is __________________number
Correct Answer
RealExplanation
Every rational number is a real number. This is because rational numbers can be expressed as a quotient of two integers, and real numbers include both rational and irrational numbers. Therefore, every rational number is a subset of the set of real numbers.Rate this question:
- 13.
2√7/7√7 is _________________ (rational or irrational)
Correct Answer
RationalExplanation
The given expression can be simplified as √7/√7, which is equal to 1. Since 1 is a rational number (it can be expressed as a fraction of two integers), the given expression is also rational.Rate this question:
- 14.
There are _____________________ laws of components.
Correct Answer
5Explanation
The sentence states that there are laws of components. The number given after the sentence indicates the number of laws, which is 5. Therefore, the correct answer is 5.Rate this question:
- 15.
The value of (16) to the power 1/4 is _______________
Correct Answer
2Explanation
The value of (16) to the power 1/4 is 2 because when a number is raised to the power of 1/4, it means finding the fourth root of that number. The fourth root of 16 is 2, as 2 multiplied by itself four times equals 16.Rate this question:
- 16.
The simplest form of (125) to the power o 1/3 is _________
Correct Answer
5Explanation
The question asks for the simplest form of the cube root of 125. The cube root of 125 is 5, because 5 multiplied by itself three times equals 125. Therefore, the simplest form of (125) to the power of 1/3 is 5.Rate this question:
- 17.
In decimal expansion if there is no end then it is called
Correct Answer
non terminatingExplanation
In decimal expansion, if a number does not have an end or does not repeat a pattern, it is called a non-terminating decimal. This means that the digits after the decimal point continue indefinitely without a pattern or end point.Rate this question:
- 18.
In decimal expansion if numbers are repeated then it is
Correct Answer
recurringExplanation
If numbers in a decimal expansion are repeated, it means that there is a recurring pattern in the digits after the decimal point. This pattern can continue indefinitely. Therefore, the correct answer is "recurring".Rate this question:
- 19.
the value of (23 to the power 5 )*(23 to the power 7) is 23 to the power 17
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
The given statement is false. When multiplying two numbers with the same base, you add the exponents. In this case, (23^5) * (23^7) would be equal to 23^(5+7) which simplifies to 23^12, not 23^17.Rate this question:
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- 20.
the value of 318/10000 is 0.318
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
The given statement is false because the value of 318/10000 is actually 0.0318, not 0.318.Rate this question:
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