Question

How do you write \[5 \times {10^6}\] in standard notation?

Answer 1

Hint: Here the given number is written in exponential form. We will apply the given exponent on the number and then perform basic multiplication operations and write the number in standard notation. An exponent of a number shows the number of times that particular number has been multiplied by itself.

Complete step by step solution:
Here we need to write the given number in the standard notation.
The given number is \[5 \times {10^6}\].
We can see that the number given in the question is not in the expanded form. So we will expand the given number by multiplying the power of 10 with the whole number given.
On applying the exponents on the base, we get
\[5 \times {10^6} = 5 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10\]
Now, we will multiply all the numbers together. Therefore, we get
\[ \Rightarrow 5 \times {10^6} = 5000000\]
We can see that the obtained number cannot be expanded further and it is in the normal form now i.e. the obtained is satisfying the definition of the standard notation of a number.

Hence, the required standard notation of the given number is equal to 5000000.

Note:
Here we have obtained the required standard notation of the given number. As we know that to write the number in the standard notation, we need to write the numbers in the normal way when they are not in the expanded form or in the exponential form. An expression that represents the repeated multiplication of the same number is known as power. Whereas, when a number is written with power then the power becomes the exponent of that particular number. Hence, whenever we are given the multiplication of the same numbers, then we can express that number with an exponent.