Question

How do you find the quotient of $ \dfrac{{18}}{{1000}} $ ?

Answer 1

Hint: In order to find the quotient of $ \dfrac{{18}}{{1000}} $ , we can see that the denominator is the multiple of $ 10 $ , so we can convert the value into the decimal form which would give the same result as the quotient would give. Or we can do this by long division and step by step division also.

Complete step by step solution:
We are given the value $ \dfrac{{18}}{{1000}} $ .
We can see that the denominator present above is a multiple of $ 10 $ , so by converting the value into the decimal form would give the same value after division.
To convert the value into decimal form, we can see that the denominator $ 1000 $ has three zeroes, so we can write it in terms of power and it gives: $ {10^3} $ .
Substituting this value into the equation we can write it as $ \dfrac{{18}}{{{{10}^3}}} $ .
Since, we have three as our power in the denominator so place a decimal at the 3rd position counting from right and we get:
 $ \dfrac{{18}}{{{{10}^3}}} = 0.018 $ .
We can check it by another way also:
As we know that $ 18 \div 1 = 18 $
Similarly, $ 18 \div 10 = 1.8 $ as the divisor is a multiple of $ 10 $ , so placed a decimal.
Next, $ 18 \div 100 = 0.18 $ , placing decimal after two digits.
 $ 18 \div 1000 = 0.018 $ and we get our result.
Hence, we can see that the value is the same whether we can do it directly or step by step.
Therefore, the Quotient of $ \dfrac{{18}}{{1000}} $ is $ 0.018 $ .
So, the correct answer is “ $ 0.018 $ ”.

Note: :
If there was no multiple of $ 10 $ in the denominator, then we can solve it by two methods: Either by long division method, or converting the denominator into the multiple of $ 10 $ , by multiplying the numerator and denominator by a common number, and then following the same steps followed above.