Commonly we approach across extremely big as well as extremely little numbers. Writing this number as such as extremely difficult. The use of scientific conversions helps us to state them in a suitable form. Exponential notation is also identified as scientific conversion which is nothing but writing the numbers in the shape of **m x 10 ^{n. }**

The scientific conversions help terms are given below that,

Coefficient

Exponent

In the term **m x 10 ^{n}, **mis the co-efficient and n is the exponent. The co-efficient term m canbe of some real number and the exponent n have to be an integer. The coefficient expression is as well recognized as mantissa.

**Example: **

** 2. 3 x 10 ^{6}**

2.3 = coefficient or mantissa

6 = exponent.

**Steps to convert the standard form to scientific conversions help: **

** **

**Whole number: **

Divide the number into two terms through maintenance decimal point following the initial digit.

Calculate the amount of digits following the decimal point

Note down in the power of 10 according to the amount of digits following a decimal point

At the present the scientific conversion have two terms called mantissa and exponent.

**Decimal number:**

Shift the decimal point following all zeros there in the digit.

Calculate the amount of digits previous to the decimal point.

Communicate the power / exponent in negative digit.

**Example 1:**

4876 change into scientific conversion.

**Solution:**

Specified that 4876

Specified integer is not a big number, other than it is easy to convert scientific conversion.

Initial note down 4.876 this is not equivalent to specified integer

(4.876)(1000) = 4876

At the present 1000 = 10 ^{3 }

Following that it can be note down in scientific conversion = 4.876 x 10 ^{3}

^{}

**Example 2: **

987456321 change into scientific conversion.

**Solution:**

Specified that 987456321

Specified integer is a large number, other than it is easy to convert scientific conversion.

Initial note down 9.87456321 this is not equivalent to specified integer

Estimate how many digits available subsequent the decimal point in previous step

There are 8 digits subsequent the decimal point so you be able to place 8 zero

9.87456321 (100000000)

So the conversion determination be 10 ^{8 }

The scientific conversion can be note down as 9.87 x 10 ^{8 }

^{}

**Example 3:**

0.00485 change into scientific conversion.

**Solution:**

Specified that 0.00485

Specified integer is not a large number, other than it is simple to convert scientific conversion.

Initial note down the integer as 4.85

Present are 3 digit subsequent the number is there so we can write 10 ^{-3}

The scientific conversion can be note down as 4.85 x 10 ^{-3 }

^{}

**Problem 1:**

24000000 change into scientific conversion.

**Answer: **2.4 x 10^{7}

^{}

**Problem 2:**

346000 change into scientific conversion.

**Answer: **3.4 x 10^{5}

^{}

**Problem 3:**

56248375 change into scientific conversion.

**Answer: **5.62 x 10^{7}