Question

Repeated addition of the same number is called _______.
(a). addition
(b). subtraction
(c). multiplication
(d). division

Answer 1

Hint: By repeated addition of the same numbers, we need the analogy of addition to be applied repeatedly. So, apply the analogy of addition to a number and check what result you are getting. Now see that the addition applied to different sets of numbers is following any common pattern. Try to find the common pattern, which in turn takes you to the answer.

Complete step-by-step answer:

Addition:
It is one of the 4 basic arithmetic operations. It results in the total or sum of a given set.
Addition Analogy:
Addition = sum of given set.
Addition Analogy (repeatedly) on integers,
\[\begin{align}
  & -1+\left( -1 \right)+\left( -1 \right)=-3=3\times -1 \\
 & -2+\left( -2 \right)+\left( -2 \right)=-6=3\times -2 \\
\end{align}\]
Addition Analogy applied repeatedly on rational numbers,
\[\begin{align}
  & \dfrac{1}{2}+\dfrac{1}{2}+\dfrac{1}{2}+\dfrac{1}{2}+\dfrac{1}{2}=\dfrac{5}{2}=5\times \dfrac{1}{2} \\
 & \dfrac{1}{5}+\dfrac{1}{5}=\dfrac{2}{5}=2\times \dfrac{1}{5} \\
\end{align}\]
So, we can say it does the same on all sets of numbers.
By above we can say,
Repeated addition of the same number is called multiplication.

Note: Do the observation of the analogy of addition on different sets carefully as it is the stepping step towards the result. The idea of converting addition into multiplication is obtained by options. Try to convert addition into all the given options, you will see that the only possible way is multiplication.