Math, asked by syedshafiu93gmailcom, 23 days ago

find ten rational numbers between -2 by 5 and 1/2​
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Answers

Answered by BrainlyPhantom
6

⇒ Given:

The rational numbers -2/5 and 1/2.

⇒ To Find:

10 rational numbers between them.

⇒ Solution:

At first, we need to equivalize the denominators of both the numbers. For this we need to take the LCM of their denominators.

Values at the denominator = 5 and 2

LCM = 5 x 2 = 10

Now, equivalizing the rational numbers:

\sf{\dfrac{-2}{5}=\dfrac{-2}{5}\times\dfrac{2}{2}=\dfrac{-4}{10}}

\sf{\dfrac{1}{2}=\dfrac{1}{2}\times\dfrac{5}{5}=\dfrac{5}{10}}

We have only 8 numbers between the given two rational numbers. In order to get 10 numbers, we need to expand the numbers. We can do this by simply multiplying both the numerator and denominator of both the rational numbers with 10.

\sf{\dfrac{-4}{10}=\dfrac{-4}{10}\times\dfrac{10}{10}=\dfrac{-40}{100}}

\sf{\dfrac{5}{10}=\dfrac{5}{10}\times\dfrac{10}{10}=\dfrac{50}{100}

Now, we can find 10 rational numbers between the given numbers easily.

The 10 rational numbers between the rational numbers -40/100 and 50/100 are:

\sf{\dfrac{-39}{100},\dfrac{-38}{100},\dfrac{-37}{100},\dfrac{-36}{100},\dfrac{-35}{100},\dfrac{44}{100},\dfrac{45}{100},\dfrac{46}{100},\dfrac{47}{100},\dfrac{48}{100}}

Rational Numbers:

Numbers in the form p/q where p and q are integers and q ≠ 0 are known as rational numbers. Rational numbers can be positive, negative or zero.

There are innumerable rational numbers between any two given numbers.

The other kind of numbers are irrational numbers.

Answered by likhitha80
0

Answer:

-2/5 and 1/2 L.C.M is 5×2=10

-2/5×2/2=(-4/10)

1/2×5/5=5/10

so we can find rational numbers between (-4/10) and 5/0 it is equal to (-2/5) and 1/2

Required rational number are:(-1/10),0,1/10,2/10,3/10,4/10,1/0,2/0,3/0,4/0,5/0------

Step-by-step explanation:

I hope it's helpful to you

Thank you

Have a great day

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