Standard Form Calculator

Actually, the standard form of a number concept is introduced to avoid the difficulty of reading large or small numbers. Checkout the following sections to get the simple step by step process of converting a number to standard form.

• Let us take any number
• The standard form conversion formula is a = b * 10ⁿ
• Where, a is given number want to convert to standard form.
• b is value in between 1 and 10 (including 1 and excluding 10).
• n is some integer.
• To convert number into standard form, find out b and n values
• b is the first digit of your number point remaining digits in the number
• n will be the number of digits in the given decimal part of number - 1
• Now, represent the whole number
• The primary condition in this conversion is after computing the standard form number, you must get the original number.

Example

Question: How do you write 200000 in standard form?

Solution:

Given number is 200000

The standard form formula is a = b * 10ⁿ

b is 2

n = 6-1 = 5

By replacing the values in above equation

200000 = 2.0*10⁵

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1. What is a standard form in math?

Standard form is a way of writing very large or very small numbers easily.

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2. What are the examples of standard form?

450 can be written in standard form as 4.5*10². Another example is 0.2589 is written in standard form as 2.589*10^-1

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3. Why do we use standard form?

Scientists use standard form when working with the speed of light and distance between galaxies, which can be enormous. The size of an atom or bacteria is also expressed in standard form as they are so tiny.

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4. What is the Standard form of 57.36?

57.36 has 57 as the decimal part.

The standard form formula is a = b * 10ⁿ

a=57.36

b=5.736

n=2-1=1

57.36=5.376*10¹

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