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List five rational number between (i)-1 and 0 (ii)- 2 and -1 (iii) -4/5 and -2/3 (iv) 1/2 and 2/3?
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List five rational number between (i)-1 and 0 (ii)- 2 and -1 (iii) -4/...
Answer: Five rational numbers between each pair of given rational numbers are (1) -1/6, -2/6, -3/6, -4/6, -5/6 (2) -7/6, -8/6, -9/6, -10/6, -11/6 (3) -31/45, -32/45, -11/15, -34/45, -7/9 (4) -11/36, -1/9, 1/12, 5/18, 17/36. We will use this fact to find all the rational numbers.
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List five rational number between (i)-1 and 0 (ii)- 2 and -1 (iii) -4/...
**Rational Numbers**
Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. They can be positive, negative, or zero. In this question, we need to find five rational numbers between the given intervals.
**(i) Between -1 and 0**
To find five rational numbers between -1 and 0, we can use the fact that the sum of two rational numbers is also a rational number. We can start with -1 and add a fraction with a positive numerator and denominator to get closer to 0. Here are five rational numbers between -1 and 0:
-1 + 1/6 = -5/6
-1 + 1/5 = -4/5
-1 + 1/4 = -3/4
-1 + 1/3 = -2/3
-1 + 1/2 = -1/2
**(ii) Between -2 and -1**
Similarly, to find five rational numbers between -2 and -1, we can start with -2 and add a fraction with a positive numerator and denominator. Here are five rational numbers between -2 and -1:
-2 + 1/6 = -11/6
-2 + 1/5 = -9/5
-2 + 1/4 = -7/4
-2 + 1/3 = -5/3
-2 + 1/2 = -3/2
**(iii) Between -4/5 and -2/3**
To find five rational numbers between -4/5 and -2/3, we can again use the same method. Here are five rational numbers between -4/5 and -2/3:
-4/5 + 1/30 = -23/30
-4/5 + 1/25 = -21/25
-4/5 + 1/20 = -19/20
-4/5 + 1/15 = -17/15
-4/5 + 1/10 = -13/10
**(iv) Between 1/2 and 2/3**
To find five rational numbers between 1/2 and 2/3, we can start with 1/2 and add a fraction with a positive numerator and denominator. Here are five rational numbers between 1/2 and 2/3:
1/2 + 1/12 = 7/12
1/2 + 1/10 = 6/10 = 3/5
1/2 + 1/8 = 5/8
1/2 + 1/6 = 4/6 = 2/3
1/2 + 1/4 = 3/4
These are the five rational numbers between the given intervals. By using the method of adding fractions with positive numerators and denominators, we can continue to find more rational numbers between any given intervals.
Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. They can be positive, negative, or zero. In this question, we need to find five rational numbers between the given intervals.
**(i) Between -1 and 0**
To find five rational numbers between -1 and 0, we can use the fact that the sum of two rational numbers is also a rational number. We can start with -1 and add a fraction with a positive numerator and denominator to get closer to 0. Here are five rational numbers between -1 and 0:
-1 + 1/6 = -5/6
-1 + 1/5 = -4/5
-1 + 1/4 = -3/4
-1 + 1/3 = -2/3
-1 + 1/2 = -1/2
**(ii) Between -2 and -1**
Similarly, to find five rational numbers between -2 and -1, we can start with -2 and add a fraction with a positive numerator and denominator. Here are five rational numbers between -2 and -1:
-2 + 1/6 = -11/6
-2 + 1/5 = -9/5
-2 + 1/4 = -7/4
-2 + 1/3 = -5/3
-2 + 1/2 = -3/2
**(iii) Between -4/5 and -2/3**
To find five rational numbers between -4/5 and -2/3, we can again use the same method. Here are five rational numbers between -4/5 and -2/3:
-4/5 + 1/30 = -23/30
-4/5 + 1/25 = -21/25
-4/5 + 1/20 = -19/20
-4/5 + 1/15 = -17/15
-4/5 + 1/10 = -13/10
**(iv) Between 1/2 and 2/3**
To find five rational numbers between 1/2 and 2/3, we can start with 1/2 and add a fraction with a positive numerator and denominator. Here are five rational numbers between 1/2 and 2/3:
1/2 + 1/12 = 7/12
1/2 + 1/10 = 6/10 = 3/5
1/2 + 1/8 = 5/8
1/2 + 1/6 = 4/6 = 2/3
1/2 + 1/4 = 3/4
These are the five rational numbers between the given intervals. By using the method of adding fractions with positive numerators and denominators, we can continue to find more rational numbers between any given intervals.
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List five rational number between (i)-1 and 0 (ii)- 2 and -1 (iii) -4/5 and -2/3 (iv) 1/2 and 2/3?
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List five rational number between (i)-1 and 0 (ii)- 2 and -1 (iii) -4/5 and -2/3 (iv) 1/2 and 2/3? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about List five rational number between (i)-1 and 0 (ii)- 2 and -1 (iii) -4/5 and -2/3 (iv) 1/2 and 2/3? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for List five rational number between (i)-1 and 0 (ii)- 2 and -1 (iii) -4/5 and -2/3 (iv) 1/2 and 2/3?.
List five rational number between (i)-1 and 0 (ii)- 2 and -1 (iii) -4/5 and -2/3 (iv) 1/2 and 2/3? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about List five rational number between (i)-1 and 0 (ii)- 2 and -1 (iii) -4/5 and -2/3 (iv) 1/2 and 2/3? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for List five rational number between (i)-1 and 0 (ii)- 2 and -1 (iii) -4/5 and -2/3 (iv) 1/2 and 2/3?.
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