How many rational numbers are there between two rational numbers?
(a) 1
(b) 0
(c) unlimited
(d) 100

Solution:

We have to find how many rational numbers are there between two rational numbers

If the numerator and denominator of a rational number are multiplied or divided by a non-zero integer, we get a rational number which is said to be equivalent to the given rational number.

Infinite number of rational numbers can be inserted between two rational numbers.

For example, consider 1/5 and 9/5

Between these numbers, we can insert other rational numbers like 2/5, 3/5, 4/5,......8/5

On multiplying numerator and denominator by 10,

10/50 and 90/50

We can insert other rational numbers like 11/50, 12/50, 13/50, …………..89/50

Therefore, there are an unlimited number of rational numbers between two rational numbers.

✦ Try This: write the simplified form of 20/25

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9

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NCERT Exemplar Class 7 Maths Chapter 8 Problem 9

How many rational numbers are there between two rational numbers? (a) 1, (b) 0, (c) unlimited, (d) 100

Summary:

There are unlimited rational numbers between two rational numbers

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☛ Related Questions:

• In the standard form of a rational number, the denominator is always a (a) 0, (b) negative integer, . . . .
• To reduce a rational number to its standard form, we divide its numerator and denominator by their ( . . . .
• Which is greater number in the following: (a) -1/2, (b) 0, (c) 1/2, (d) -2