Question

Insert four rational numbers between and .

-1/2 and 2/5

Answer 1

Step-by-step explanation:

-1/2×5/5=-5/10

2/5×2/2=4/10

between -5/10 and 4/10 we have following rational numbers

-4/10, -3/10, -2/10, -1/10, 0/10, 1/10, 2/10, 3/10

You can choose any of the above.

Answer 2

Four rational numbers between -1/2 and 2/5  are -2/5  , -1/5 , 0 , 1/10

Given:

• numbers -1/2 and 2/5

To Find:

• Four rational numbers between -1/2 and 2/5

Solution:

Rational numbers

• Rational numbers are real numbers which can be written in the form p/q where p and q are integers and q≠0
• Note: There exist Infinite rational numbers between any two different rational numbers.

Create equivalent fractions :

By dividing or multiplying the numerator and denominator of a given fraction by the same number except zero

a/ b  = ak/bk      k ≠ 0

a/b  = (a/k) / (b/k)   k ≠ 0

Step 1:

Multiply and divide -1/2  by 5

-1/2  = -5/10

Step 2:

Multiply and divide 2/5  by2

2/5  =  4/10

Step 3:

As Denominator is common , insert numbers between numerators , keeping denominator same

-4/10  , - 3/10 , -2/10 , -1/10 , 0/10 , 1/10 , 2/10 , 3/10

Step 4:

Write in simplest form

-2/5  , - 3/10 , -1/5  , -1/10 , 0  , 1/10 , 1/5 , 3/10

Step 5:

Choose any four

Four rational numbers between -1/2 and 2/5  are  -2/5  , -1/5 , 0 , 1/10

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