Question

find one rational number between:
can ya all help me at this problems please ​

Answer 1

Answer:

0

Step-by-step explanation:

Concept of modulus |x|

The modulus of any number gives only postive value.

Examples :-

• |-3| = 3
• |5| = 5

Now we have to find a rational number between $\frac{-2}{7}$ and $|\frac{-2}{7}|$

Here using the concept of modulus.

$|\frac{-2}{7}| =\frac{2}{7}$

Now we have to find a rational number between $\frac{-2}{7}$ and $\frac{2}{7}$

$\setlength{\unitlength}{1cm}\begin{picture}(0,0) \thicklines \qbezier(-.3,5)(0,5)(4.5,5) \multiput(0,4.9)( 1,0){5}{ \line(0,1){0.2}}\put(0,4.5){ \frac{-2}{7} }\put(1,4.5){ \frac{-1}{7} }\put(2,4){ \frac{0}{7} } \put(2,4.5){\bf{0}}\put(3,4.5){ \frac{1}{7} } \put(4,4.5){ \frac{2}{7} }\put(-.3,5){\vector(1,0){5}} \put(4.5,5){\vector(-1,0){5}} \put(1,3){\boxed{\sf{@LetsHelp123}}}\end{picture}$

*See the attached image.

★ The rational number between $\bf\frac{-2}{7}$ and $\bf\frac{2}{7}$ :

$= \dfrac{\textsf{Sum of given rational numbers}}{\sf2}$

$= \dfrac{\sf{\frac{-2}{7}+\frac{2}{7}}}{\sf2}$

$=\sf \dfrac{0}{2}$

= 0

Answer 2

Given  :   -2/7  and  | - 2/7 |

To Find : one rational number between:

Solution:

-2/7  and  | - 2/7 |

| - 2/7 | = 2/7

Hence

-2/7  and  2/7  

Few rational numbers in between

-1/7  , 0/7  , 1/7

Hence few rational number in between -2/7  and  | - 2/7 |  are

-1/7 , 0 . 1/7

There exist infinitely many irrational number between two distinct rational numbers

Hence answer is -1/7 , 0  , 1/7

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