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## What is Scientific Format?

Scientific Format

Scientific Format is way of representing numbers in a very simple form and especially useful when representing very small or very large numbers. Also called as Standard Form.

It is written as a product of any number between 1 and 10 to the 10

^{th}power.Examples of Scientific Notation Form

- 1.25x10
^{3} - 4x10
^{7} - 456.89x10
^{-12}

- 1.25x10

## What is Metric Format?

Metric Format

Metric Format use the metric system Prefixes to express quantities in an understandable and precise way (K/kilo,H/hecta, N/Nano and so on..).

Each metric is arranged in order of 10 times the previous one. Like centi is 10 times milli and so on...

They are used to scale the base units making it easier to represent small or large values.

Metric Prefixes

- exa
- tera
- mega
- exa
- femto
- pico

## What is Exponent Format?

Exponent Format

Exponent Format is method of representing number using base and indices.

The power of /indice represents the number of times the number is multiplied by itself .

Examples of Exponent Form

- 10e+2
- 5e+6
- 5e+9

## Steps to Convert Number to Scientific Format

Step 1: First place or move the decimal point of a number until the coefficient of the number is greater than 1 and less than 10

Eg:Convert number 9,800,00 to Scientific Notation Place a decimal 9,800,00 by counting the steps to the left until the coefficient of the number is between 1 and 9.

Step 2: Record down the coefficient (a) and count the number of steps the decimal point was moved

In this Example, the coefficient is 9.8 and the 6 steps are moved 6.

Step 3: The number of steps moved (n) is taken as the exponent.

Multiply the coefficient by 10

^{6}.Step 4: Moving the decimal point to the right gives a negative exponent, whereas moving the decimal point to the left makes a positive exponent

Final answer is 9.8 x 10

^{6}

## Steps to Convert Scientific Format to Real Number

Step 1: Figure out the exponent in the power of 10

Example:Convert 4.9x10

^{5}into Real number Here exponent is 5Step 2: If the exponent is positive ,move the decimal that many places to the right .

Here exponent is positive,so move the decimal 5 spaces to the right.

Step 3: Else if the exponent is negative, move the decimal that many places to the left.

Step 4: Fill the Empty places with zeros

Fill the Empty places with zeros.ie .490000

Real number for 4.9x10

^{5}is 4,900,00

## Steps to Convert Scientific Format to Metrics Format

Step 1: First convert into real number and then add metric suffix to them based on the values.

Step 2: Convert to real numbers Figure out the exponent in the power of 10

Example:Convert 4.9x10

^{5}into Real number Here exponent is 5Step 3: If the exponent is positive ,move the decimal that many places to the right .

Here exponent is positive,so move the decimal 5 spaces to the right.

Step 4: Else if the exponent is negative, move the decimal that many places to the left.

Step 5: Fill the Empty places with zeros

Fill the Empty places with zeros.ie .490000

Real number for 4.9x10

^{5}is 4,900,00Step 6: Add prefixes to real numbers based on the value exponent value.

10

^{0}=1(Basic),10^{1}=10(da),10^{2}=100(h),10^{-1}=0.1(d)Metric Format for 4.9x10

^{5}is 490000 k(kilo)

## Steps to Convert Scientific Format to Exponent Format

Step 1: Simple way of converting to Exponent format

Example:Convert 4.9x10

^{5}into Real number Here exponent is 5Step 2: Replace the (10^) by (e+)

Exponent Format for 4.9x10

^{5}is 4.9e+5

## Scientifc Notation to Metrics Format Reference

Number | Scientific Format | E-Format | Metrics | Symbol | Name |
---|---|---|---|---|---|

0.000000000000000001 | 1 x 10^-18 | 1e-18 | 0.000000000000000001 | a | Atto |

0.000000000000001 | 1 x 10^-15 | 1e-15 | 0.000000000000001 | f | femto |

0.00000000001 | 1 x 10^-11 | 1e-11 | 0.00000000001 | p | Pico |

0.0000000001 | 1 x 10^-10 | 1e-10 | 0.0000000001 | p | Pico |

0.000000001 | 1 x 10^-9 | 1e-9 | 0.000000001 | n | Nano |

0.00000001 | 1 x 10^-8 | 1e-8 | 0.00000001 | n | Nano |

0.0000001 | 1 x 10^-7 | 1e-7 | 0.0000001 | n | Nano |

0.000001 | 1 x 10^-6 | 1e-6 | 0.000001 | Micro | Micro |

0.00001 | 1 x 10^-5 | 1e-5 | 0.00001 | Micro | Micro |

0.0001 | 1 x 10^-4 | 1e-4 | 0.0001 | Micro | Micro |

0.001 | 1 x 10^-3 | 1e-3 | 0.001 | m | milli |

0.01 | 1 x 10^-2 | 1e-2 | 0.01 | c | Centi |

0.1 | 1 x 10^-1 | 1e-1 | 0.1 | d | deci |

1 | 1 x 10^0 | 1e+0 | 1 | Basic | Basic |

10 | 1 x 10^1 | 1e+1 | 10 | da | deca |

100 | 1 x 10^2 | 1e+2 | 100 | h | Hecto |

1000 | 1 x 10^3 | 1e+3 | 1000 | k | Kilo |

1000000 | 1 x 10^6 | 1e+6 | 10000 | M | Mega |

100000000 | 1 x 10^8 | 1e+8 | 100000000 | M | Mega |

1000000000 | 1 x 10^9 | 1e+9 | 1000000000 | G | Giga |

## Frequently Converted In Scientific Notation

To the Power of | Value |
---|---|

84 | 8.4 x 10^1 |

19 hundred thousandths in scientific notation | 1.9 × 10^ − 4 |

0.00125 in scientific notation | 1.25 × 10^-3 |

30xa scientific notation | Press 2nd 5 in calculator to get back into scientific notation |

2^10 in scientific notation | 2e+10 |

4.48 e^8 * 5.2 e^4 | 2.33e^-11 |

0.0056 in scientific notation | 5.6 × 10^-3 |

1.5 x 10 3 in standard notation | 15000 |

2.30 x 10 4 in standard notation | 23000 |

36x pro scientific notation | Use EE ,we get e that represents this times 10 to the power of |

84 plus scientific notation | The EE function is used to enter numbers in scientific notation on a TI-84 Plus C Silver Edition. EE is used to represent times 10 to the power of |

30xs scientific notation | Ideal for general math, pre-algebra, algebra I and II, geometry, statistics, general science, biology and chemistry. |

30x iis scientific notation | Used throughout algebra, trigonometry, and statistics. |

3.92400 x 10^5 in standard notation | 392,400 |

84 plus ce scientific notation | The EE function is used to enter numbers in scientific notation on a TI-84 Plus C Silver Edition. EE is used to represent times 10 to the power of |

6 x 10^3 in standard notation | 6000 |

0.63 x 10^1 in scientific notation | 0.63e+1 |

71 x 10^3 in scientific notation | 71e+3 |

3.05 x 10^3 in standard notation | 3050 |

20,136 in scientific notation | 2.0136×10^4 |

8.75 x 10^4 in standard notation | 87500 |

1.76 x 10^3 in standard notation | 1760 |

9.9 x10^3 in standard notation | 9900 |

3.14 x10^3 in standard notation | 3140 |

10^4 in standard form | 10,000 |

6x10^8 divided by 1.5 x10^4 | 4e+12 |

2 x 10^5 in standard notation | 200000 |

27 x 10^3 in scientific notation | 27000 |

0.000000199 in scientific notation | 1.99 × 10^-7 |

3.75 x 10^2 in standard notation | 375 |

1.2 x 10^4 in standard notation | 12000 |

83 scientific notation | 8.3 × 10^1 |

1.43 x10^5 in standard notation | 143000 |

367 x 10^3 in scientific notation | 367000 |

3100.0 x 10^2 in scientific notation | 310000 |

0.15 x 10^2 in scientific notation | 15 |

2x10^5 in standard notation | 200000 |

281 x 10^2 in scientific notation | 28100 |

5 x 10^8 in standard form | 500000000 |

4 x 10^5 in standard notation | 400000 |

0.00008 scientific notation | 8.0 x10^-5 |

2 x 10^3 in standard notation | 2000 |

5.40 x 10^1 in standard notation | 54 |

6 x 10^4 in standard notation | 60000 |

5 x 10^2 in standard notation | 500 |

2 x 10^1 in standard notation | 20 |

1.72 x 10^3 in standard notation | 1720 |

8.65 x 10^1 in standard notation | 86.5 |

00007 in scientific notation | 7×10^−5 |

3 x 10^5 in standard notation | 300000 |

3.14 * 1063 in standard notation | 3337.82 |

1.407 in scientific notation | 1.407 × 10^0 |

89 scientific notation | 8.9 × 10^1 |

7x10^5 x 5 x 10^8 in scientific notation | 3.5e+14 |

33900000 in scientific notation | 3.39 × 10^7 |

1.72 x 10^7 in standard notation | 17200000 |

5 x 10^2 in scientific notation | 500 |

6.89 x 10^6 in standard notation | 6890000 |

5 x 10^3 standard notation | 5000 |

9.5 x10^3 in standard notation | 9500 |

6x10^4 in standard form | 60000 |

3 x 10^4 in standard form | 30000 |

2.5 x10^3 in standard notation | 2500 |

3 x 10^6 in scientific notation | 3000000 |

1 x 10^3 scientific notation | 1000 |

2x10^5 in decimal notation | 200000 |

7 x 10^6 in standard notation | 7000000 |

5 x 10^4 in standard notation | 50000 |

5 x 10^3 in standard form | 5000 |

4 x 10^4 in standard notation | 40000 |

casio fx 82ms scientific notation | Expressed in scientific notation, i.e., 7.24 10 3 instead of 3 7240. |

4.65 x 10^3 scientific notation | 4650 |

2 x 10^6 scientific notation | 2000000 |

4 x 10^6 in standard form | 4000000 |

7 x 10^2 in standard notation | 700 |

5970000000000000000000000 kg in scientific notation | 5.97×10^24Kg |

5 x 10^3 scientific notation | 5000 |

casio fx 300ms scientific notation | press the Mode button on your calculator repeatedly till get the following screen:Fix Sci Norm |

36.2 x 10^3 in scientific notation | 36200 |

5 x 10^7 in standard notation | 50000000 |

1.92 x 10^3 in standard notation | 1920 |

9 x 10^4 in standard notation | 90000 |

5 x 10^3 in scientific notation | 5000 |

6 x 10^3 scientific notation | 6000 |

7 x 10^5 in standard notation | 700000 |

2.4 x 10^3 in standard notation | 2400 |

1.24 x 10^7 in standard notation | 12400000 |

3 x 10^2 in standard notation | 300 |

3x10^9 x 2x10^17 in scientific notation | 6e+26 |

5 x 10^3 in standard notation | 5000 |

1.47 x 10^3 in standard notation | 1470 |

67 x 10^6 in scientific notation | 67000000 |

12.5 x 10^3 in scientific notation | 12500 |

4.7 x10^4 in standard notation | 47000 |

7.45 x 10^3 in standard notation | 7450 |

5.2 x 10^3 in scientific notation | 5200 |

83 plus scientific notation | EE |

6.87 x 10^5 in scientific notation | 687000 |

17600 in scientific notation | 1.76 x 10^4 |

2.34 x10^2 in standard notation | 234 |

## Frequently Asked Questions on Scientific Notation.

Scientific Format is method of representing numbers in concise short form.

It is also called as Standard Format.

Speed of light in Scientific Notation is written as 3x10^8 m/s

1.25x10

^{3}4x10

^{7}456.89x10

^{-12}

Find the exponent power value of 10,move the decimal if it positive move right else move left and fill the empty places with zeros.

Any number that can be written as decimal number betweeen 1 and 10 .

Sometimes it is difficult to read very large numbers.

Exponent Format is method of representing number using base and powers.

It indicates how many times the number has to be multiplied by itself .

Exponent and Scientific notation are representing the same thing ie representing very large number in simple format.

They are differ in the way of representing that is Scientific notation expressed as 10 ^ base value whereas Exponent format expressed in e+(-)base value.

Speed of the light is 3.0 x 10^8