Find 4 rational numbers between 3-5 and 4-5 using d-y-x-n-1 -4 MARKS-

Concept: 1 Marks Formula : 1 Marks Calculation : 2 Marks x=3/5 and y=4/5 We have to find 4 rational numbers i.e, n=4 Using d=(y x)/n+1 =4/5 3/5/ ...

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Standard VII

Mathematics

Addition of Rational Numbers

Find 4 ration...

Question

Find 4 rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$ using d= $\frac{(y - x)}{n + 1}$ [4 MARKS]

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Solution

Concept: 1 Marks
Formula : 1 Marks
Calculation : 2 Marks

x= $\frac{3}{5}$ and y= $\frac{4}{5}$

We have to find 4 rational numbers

i.e, n=4

Using d= $\frac{(y - x)}{n + 1}$

= $\frac{\frac{4}{5} - \frac{3}{5}}{5}$

= $\frac{1}{25}$

Hence 4 rational numbers are $\frac{16}{25}$ , $\frac{17}{25}$ , $\frac{18}{25}$ and $\frac{19}{25}$

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Similar questions

(a) Find ten rational number between - $\frac{2}{5}$ and $\frac{1}{2}$ .

(b) Insert 5 rational numbers and 2 irrational numbers between $\sqrt{2}$ and $\sqrt{3}$ .

[4 MARKS]

Q. Question 2
Find three rational numbers between
(i) -1 and -2
(ii) 0.1 and 0.11
(iii)

\frac{5}{7}

and

\frac{6}{7}

(iv)

\frac{1}{4}

and

\frac{1}{5}

Thinking process
Use the concept that three numbers between x and y are x+d, x+2d and x+3d , where

d = \frac{y - x}{n + 1}, x < y

and n =3

Find 3 rational numbers between 3 and 4 using method of averages. [3 MARKS]

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Find 4 rational numbers between 35 and 45 using d=(y−x)n+1 [4 MARKS]

Concept: 1 Marks Formula : 1 Marks Calculation : 2 Marks x=35 and y=45 We have to find 4 rational numbers i.e, n=4 Using d=(y−x)n+1 =45−355 = 125 Hence 4 rational numbers are 1625,1725,1825 and 1925

Find 4 rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$ using d= $\frac{(y - x)}{n + 1}$ [4 MARKS]