Carry out the following division: 66pq2r3 ÷ 11qr2

Answer: 6pqr

The four important terms used in the division operation are dividend, divisor, quotient and remainder. The formula to calculate the division of two numbers is:

Dividend ÷ Divisor = Quotient + Remainder.

Here,

  • The dividend is the number, which is being divided
  • The divisor is the number, which divides the number (dividend) into equal parts
  • The quotient is the result of the division operation
  • The remainder is the leftover number in the division operation.

66pq2r3 ÷ 11qr2

[latex]\frac{ 66pq^{2}r^{^{3}}}{11qr^{2}}[/latex]

⇒ [latex]\frac{66}{11}\times p\times \frac{q^{2}}{q}\times \frac{r^{3}}{r^{2}}[/latex]

We know that [latex]\frac{a^{m}}{a^{n}}= a^{m-n}[/latex]

⇒ 6 × p × q(2 – 1) × r(3 – 2)

⇒ 6 × p × q × r

66pq2r3 ÷ 11qr2 = 6pqr

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