Question

How do you find the quotient \[ - \dfrac{9}{{10}} \div 3\]?

Answer 1

Hint: In this question we have to find the quotient, we know that when one number is divided by the other number , we multiply the inverse of the second number with the first number, so here we have to multiply the inverse of 3 i.e.,\[\dfrac{1}{3}\]with the numerator i.e.,\[ - \dfrac{9}{{10}}\], now perform the division for the result then we will get the required quotient.

Complete step by step solution:
The quotient is the number resulting from the division of one number by another. The quotient is represented as,
Dividend\[ \div \]Divisor.
Given expression is \[ - \dfrac{9}{{10}} \div 3\],
Now Invert the divisor (that which you are dividing by) and change division to multiplication, we get,
\[ \Rightarrow - \dfrac{9}{{10}} \times \dfrac{1}{3}\],
Now eliminating the like terms we get,
\[ \Rightarrow - \dfrac{3}{{10}}\],
Now perform the division we get,
\[\left. { \Rightarrow 10} \right) - 30\left( { - 0.} \right.3\]
                \[\,\underline {30} \]
                  \[0\]
So, the quotient is -0.3.
Final Answer:
\[\therefore \]The quotient when \[ - \dfrac{9}{{10}}\] is divided by \[3\] will be equal to \[ - 0.3\].

Note:
The quotient is the number obtained by dividing one number from the other. A quotient is calculated in two ways one is by fraction and other is by long division method. By Fraction method the quotient is a number obtained by dividing the dividend by divisor which is a simple division of numerator and denominator. A dividend is the numerator and divisor is the denominator and the result is the quotient.
By Division method, the number which is called the dividend. The number by which we divide the dividend is the divisor. The result so obtained is called quotient. The number which is left down is called the remainder.