We know that $0 + 0 = 0$ . Is there any other whole number $q$ such that $q + q = q$ .

Open in App

Solution

Finding whether there is any whole number $q$ such that $q + q = q$ .
Whole numbers include $0, 1, 2, 3, . . . .$
By using additive identity we can say that ,
$\begin{array}{rcl} q + q & = & q = q + 0 \\ \Rightarrow & q + q = q + 0 \\ \Rightarrow & q = 0 \end{array}$
Thus the whole number satisfying $q + q = q$ is $0$ .
Thus, there is no whole number $q$ other than $0$ such that $q + q = q$ .

Suggest Corrections

Similar questions

Euclid's division lemma states that for any positive integers a and b, there exist unique integers q and r such that a = bq + r, where r must satisfy

(a) 1 < r < b (b) $0 < r \leq b$ (c) $0 \leq r < b$ (d) 0 < r < b

a

b

q

r

a = b \times q + r

0 \leq r < b .

We know that $0 \times 0 = 0$ . Is there any other whole number that when multiplied by itself gives the product equal to the number itself?

\frac{p}{q}

q = 0

Join BYJU'S Learning Program