Question

Please show your work

Answer 1

Solution

Given :-

• Rational number here, -3/5 & -9/10

Find :-

• Four Rational Number between them,

Explanation

For, rational number, we calculate between them one by one.

Using Formula

★ First Number be , = (A + B)/2

Where,

• A & B be rational number .

So, Calculate first rational number

==> R = [(-3/5) + (-9/10)]/2

==> R = [(-6-9)/2×10]

==> R = -15/20

==> R = -3/4,

For, second we calculate between , -3/4 & -3/5

==> R² = [(-3/4)+(-3/5)]/2

==> R² = [(-3×5-3×4)/20×2]

==> R² = (-15 - 12)/40

==> R² = -27/40

For, third take -3/4 & -9/10

==> R³ = [(-3/4) + (-9/10)]/2

==> R³ = [(-3×5-9×2)/40

==> R³ = (-15-18)/40

==>R³ = -33/40

For, fourth take -33/40 & -9/10

==> R⁴ = [(-33/40)+(-9/10)]/2

==> R⁴ = (-33-9×4)/80

==> R⁴ = (-33-36)/80

==> R⁴ = -69/80

Hence

• Four Rational Number will be between -3/5 & -9/10 are, -3/4 , -27/40 , -33/40 , -69/80

Note:-

• Here power of R represent first, second ,third , fourth rational number.

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