Writing Nubers in Standard Form

Exponents and powers are used to show very large numbers or very small numbers in a simplified manner.

Numbers such as 123456789000 and 0.0000002345678 can be difficult to read and understand. Standard form makes it easier to represent and work with huge or very small numbers.

A number is written in standard form when it is expressed as a decimal number between 1 and 10, multiplied by a power of 10.

Examples of numbers in standard form:

• 1.89 × 10¹³
• 5.5 × 10¹³

Similar Questions

Question 1: How to write 500 in standard form?

Solution:

Here we have, 500

To find, the standard form of the number 500 = ?

By Multiplying and dividing 500 by 100, we get

= (500/100) × 100                            

= 5 × 10²                        {Here only one number will be kept before decimal point that is 5}

Therefore the standard form of the number 500 = 5 × 10²

Question 2: How to write 15 in the standard form?

Solution:

Here we have, 15

To find, the standard form of the number 15 = ?

By Multiplying and dividing 15 by 10, we get

= (15/10) × 10                              

= 1.5 × 10¹                        {Here only one number will be kept before decimal point that is 1}

Therefore the standard form of the number 15 = 1.5 × 10

Question 3: What is the standard form of 12346?

Solution:

Here we have, 12346

To find, the standard form of the number 12346 = ?

By Multiplying and dividing 12346 by 10000, we get

= (12346 / 10000) × 10000                              

= 1.2346 × 10⁴                     {Here only one number will be kept before decimal point that is 1}

Therefore the standard form of the number 12346 = 1.2346 × 10⁴