Question

The number of zeros at the end of the cube of 100 is:
A.1
B.2
C.4
D.6

Answer 1

Hint: Here in this question, we have to tell the number of zero which is present in the cubic number of 100. First, we should multiply the number 100 itself by 3 times by using a basic multiplication operation and further count the number of zeros present in the resultant number, we get the required answer.

Complete step by step solution:
A cube number is a number that is the product of three numbers which are the same. In other words, if you multiply a number by itself and then by itself again, the result is a cube number.
If a be any number it’s cube number represented as \[{a^3}\].
Now, consider the given question,
The number of zeros at the end of the cube of 100.
Let’s first find a cube number of 100 to multiply 100 3 items by itself.
The cube number of 100 is represented as \[{100^3}\].
\[ \Rightarrow \,\,\,100 \times 100 \times 100\]
On multiplication, we get
\[ \Rightarrow \,\,\,1000000\]
Therefore, the cube number of 100 is \[{100^3} = 1000000\].
Now, count the zeros at the end of the cube number of 100 i.e., \[1000000\]
Hence, there are 6 zeroes present at the end of \[1000000\].
Therefore, Option (D) is correct.
So, the correct answer is “Option B”.

Note: To solve these kinds of a problem the student must know about cube numbers, tables of multiplication and the trick involves counting the zeroes are first multiplying the non-zero numbers and then writing the number of zeroes you have counted in both multiplier and multiplicand.