Math, asked by banjima09, 1 day ago

write five rational numbers between 1.55 and 1.56​

Answers

Answered by sourya62
0

Answer:

1

Step-by-step explanation:

Let's, write, rational no with denominator 6

-\frac{6}{6}<\ -\frac{5}{6}<-\frac{4}{6}<-\frac{3}{6}<-\frac{2}{6}<-\frac{1}{6}<0\−

6

6

< −

6

5

<−

6

4

<−

6

3

<−

6

2

<−

6

1

<0

-\frac{5}{6},-\frac{4}{6},-\frac{3}{6},-\frac{2}{6},-\frac{1}{6}−

6

5

,−

6

4

,−

6

3

,−

6

2

,−

6

1

(ii) Lets write, rational no with denominator 6

-2=-\frac{12}{6}−

6

12

, -1=-\frac{6}{6\ }−

6

6

-\frac{12}{6}<-\frac{11}{6}<-\frac{10}{6}<-\frac{9}{6}<-\frac{8}{6}<-\frac{7}{6}<-\frac{6}{6}−

6

12

<−

6

11

<−

6

10

<−

6

9

<−

6

8

<−

6

7

<−

6

6

=-\frac{11}{6},-\frac{5}{6},-\frac{3}{2},-\frac{4}{2},-\frac{7}{6}=−

6

11

,−

6

5

,−

2

3

,−

2

4

,−

6

7

(iii)Let us write rational number with same denominator

-\frac{4}{5},\ -\frac{2}{3}−

5

4

, −

3

2

LCM of the two rational no 3 and 5 = 45

-\frac{36}{45},\ -\frac{30}{45}−

45

36

, −

45

30

-\frac{36}{45}<\ -\frac{35}{45}<-\frac{34}{45}<-\frac{33}{45}<-\frac{32}{45}<-\frac{31}{45}<-\frac{30}{45}−

45

36

< −

45

35

<−

45

34

<−

45

33

<−

45

32

<−

45

31

<−

45

30

therefore, five rational no

-\frac{7}{9},\ -\frac{34}{45},\ -\frac{11}{15},-\frac{32}{45},\ -\frac{31}{45},\ -\frac{2}{3}−

9

7

, −

45

34

, −

15

11

,−

45

32

, −

45

31

, −

3

2

(iv) Let the denominator of rational no be same

-\frac{1}{2}\times3\ =\ -\frac{3}{2}\ \ ,\ \ \ \frac{2}{3}\times2\ =\ \frac{4}{6}−

2

1

×3 = −

2

3

,

3

2

×2 =

6

4

therefore, -\frac{3}{6}<-\frac{2}{6}<-\frac{1}{6}<0<\frac{1}{6}<\frac{2}{6}<\frac{3}{6}<\frac{2}{3}<\frac{4}{6}−

6

3

<−

6

2

<−

6

1

<0<

6

1

<

6

2

<

6

3

<

3

2

<

6

4

therefore, five rational no between -\frac{1}{2}\ and\ \frac{2}{3}−

2

1

and

3

2

will be

-\frac{1}{3},\ -\frac{1}{6},\ 0,\ \frac{1}{6},\ \frac{1}{3}−

3

1

, −

6

1

, 0,

6

1

,

3

1

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