Find six rational numbers between 3 and 4.
By BYJU'S Exam Prep
Updated on: September 11th, 2023
The six rational numbers between 3 and 4 are 22/7, 23/7, 24/7, 25/7, 26/7, and 27/7. Between two numbers, identify the rational number. A category of real numbers known as rational numbers have the form of p/q, where q is not equal to 0. A rational number is any fraction with a non-zero denominator.
Let x represent a logically sound disparity:
Be that as it may, let x be a rational number such that x is less than 1/sixth of the difference between the upper and lower limits.
x < ⅙ . (4 – 3)
x < ⅙ . 1
x < ⅙
Say x = 1/7
We can infer that the sum of two rational numbers is a rational number from the property of rational numbers.
So we can say the rational in between 3 and 4 are of form 3 + n 1/7 where
n = 1, 2, …. 6
the rational numbers are 3 + 1/7, 3 + 2/7, 3 + 3/7, 3 + 4/7, 3 + 5/7, 3 + 6/7
= 22/7, 23/7, 24/7, 25/7, 26/7, 27/7
Table of content
Properties of Rational Numbers
- If we multiply, add, or subtract any two rational numbers, the outcome is always a rational number.
- If we use the same factor to divide or multiply the numerator and denominator, the result is still a rational number.
- A rational number itself is what is obtained if we add zero to it.
- The operations of addition, subtraction, and multiplication on rational numbers are closed.
Summary:
Find six rational numbers between 3 and 4.
The six rational numbers between 3 and 4 are 22/7, 23/7, 24/7, 25/7, 26/7, and 27/7. A rational number is one obtained when we add zero to it. Multiplication, subtraction, and addition are the operations used in rational numbers.
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