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Activity Discussion Math Rational number

• # Rational number

Posted by on June 24, 2023 at 5:54 am

Question 2- Find five rational numbers between -1/3 and 1/3.

replied 1 year ago 2 Members · 1 Reply
• ### Tejashwini

Member
June 24, 2023 at 11:02 am
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A rational number can be defined as the quotient a/b of two integers so that q is not equal to zero.

Given two rational numbers are -1/3 and 1/3

we need to find five rational numbers between the given two numbers

-1/3 can also be written as -1/3 * 6/6 = -6/18

and,

1/3 can also be written as 1/3 * 6/6 = 6/18

(when we do the multiplication we get the same values)

we know that the integers between -6 and 6 are: -5,-4,-3,-2,-1,0,1,2,3,4,5.

similarly here for the given range -6/18 to 6/18

the numbers between them are :

-5/18 < -4/28 < -3/18 < -2/18 < -1/18 < 0 < 1/18 < 2/18 < 3/18 < 4/18 < 5/18

we can select any five numbers of our choice from the above list.

The five integers between the given two numbers are:

-2/18, -4/18, 2/18, 3/18, 1/18.

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