Answer

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**Hint**: Here in this question the number is given in the word form and now we have to convert the number into a scientific notation or form. Firstly the number in the numeral and then express the number by its place value. The place values other than units are the multiple of 10 we can write in terms of exponent.

**:**

__Complete step-by-step answer__This question comes under the topic number system. The number can be expressed in many different ways but it has the same value. The number can be written in the words form or in the numeral form or in the scientific form etc.

Here in this question, they have mentioned 500. This is in the numeral form.

Let we draw the place value table for the given number \[500\]

Hundred(100) | Ten(10) | Unit(1) |

5 | 0 | 0 |

The number \[500\] written using the place value is

\[ \Rightarrow 500 = 5 \times 100 + 0 \times 10 + 0 \times 1\]

The 100, 10 are the multiple of 10 and these numbers can be written in the form of exponent we have

\[ \Rightarrow 5 \times {10^2} + 0 \times {10^1} + 0 \times 1\]

As we know that any number divide by zero the product will be zero so we have

\[ \Rightarrow 5 \times {10^2}\]

Since in the question they have mentioned 500 and this can be written as five hundred in the phrasal or word form.

\[500 = 5 \times 100\]

The 100 is a multiple of 10 and it can be written in the form exponent we have

\[ \Rightarrow 500 = 5 \times {10^2}\]

**So, the correct answer is “$5 \times {10^2}$”.**

**Note**: There are many different ways to express or to write the number or to express the number. The exponent form is defined as the number of times the number is multiplied by the number itself. The place value table of numbers should be known to place the number in particular that position.

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