Question

write some rational numbers between 2and -2 and find their value up to 3 decimal places​

Answer 1

Answer:

Rational numbers are 1,0,-1

Answer 2

Answer:

Some rational number between 2 and -2 are $\frac{-6}{3} ,\frac{-5}{3}, \frac{-4}{3} ,\frac{-3}{3}, ...\frac{3}{3} ,\frac{4}{3} ,\frac{5}{3} ,\frac{6}{3}$ and some rational numbers correct up to 3 decimals places $\frac{-5}{3} = -1.667$, $\frac{2}{3} =0.667$, $\frac{2}{3} =0.667$.

Concept:

Between any two rational numbers, we can find any number of rational numbers. The arithmetic operations on rational numbers become simple when the denominators are the same, as we already know. It therefore also applies to determining the rational numbers that lie between two rational numbers. Take these actions:

1.Verify the values of the rational numbers' numerators.

2.Determine how many values separate the numerators from one another.

3.Since the denominators of the two rational numbers are the same, if the difference between the two numerators is greater, we can write the rational numbers between the two supplied rational in the increasing order of the numerator.

Given:

The number are 2 and -2.

Find:

To write some rational numbers between 2 and -2.

Solution:

Take a greater number than 2 i.e. 3.

Now we will multiply 2 by 3 and divide by 3, we get:

$\frac{2*3}{3}$= $\frac{6}{3}$

Again we will multiply -2 by 3 and divide by 3, we get:

$\frac{-2*3}{3} = \frac{-6}{3}$

The numbers are $\frac{-6}{3} and \frac{6}{3}$ .

The rational numbers between  $\frac{-6}{3} and \frac{6}{3}$  are :

$\frac{-6}{3} ,\frac{-5}{3}, \frac{-4}{3} ,\frac{-3}{3}, ...\frac{3}{3} ,\frac{4}{3} ,\frac{5}{3} ,\frac{6}{3}$.

Let's takes some rational numbers to find up 3 decimal places,

$\frac{-5}{3} = -1.667$

$\frac{-4}{3} =-1.333$

$\frac{2}{3} =0.667$

So, some rational number between 2 and -2 are $\frac{-6}{3} ,\frac{-5}{3}, \frac{-4}{3} ,\frac{-3}{3}, ...\frac{3}{3} ,\frac{4}{3} ,\frac{5}{3} ,\frac{6}{3}$ .

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