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Scientific Notation Calculator

Welcome to our scientific notation calculator!

Actually, our app is a scientific notation conversion calculator because it can do both, convert and calculate.

Scientific
E notation
Decimal
×10
×10
Scientific Notation:
×10
E Notation:
Decimal Notation:
Reset
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How the Calculator Works

When you come to this page, then the calculator is shown in expanded form so that you can carry out the mathematical operation you want.

Fill in the first value, then click the corresponding operation symbol:

Our scientific notation calculations include adding, subtracting, dividing as well as multiplying scientific notation.

Next fill in the second value.

There is no result button, because the outcome is computed automatically once all required input forms have been filled.

Note that you can optionally switch to e notation as well as to decimal notation – the numbers and the result always follow.

It essentially means that our app is also a decimal to scientific notation converter, and vice versa.

In this case you may want to press collapse first.

Needless to say that you can expand our online tool (again) after that.

BTW: If you are looking for a scientific calculator, we recommend the one you find on google.com.

Scientific Notation Terms

For m × 10n we employ the following terms:
  • Coefficient: m, also called significand and mantissa
  • Base: 10
  • Index: n, also called exponent
  • Normalized notation: 1 ≤ |m| < 10
  • Significant figure: A digit in the coefficient that adds to its precision.

Scientific Notation Calculator Multiplication

Scientific notation multiplication uses the multiplying exponents rule known from exponentiation.

a × 10n × b × 10m = (a × b) × 10n+m

Example:

4 × 102 × 2 × 103 = 8 × 105

Scientific Notation Calculator Division

Scientific notation division uses the dividing exponents rule also known from exponentiation.

a × 10n / b × 10m = a/b × 10n-m

Example:

4 × 104 / 2 × 102 = 2 × 102

Scientific Notation Calculator Addition

Scientific notation additions requires the same exponents for both summands; thus that the significands can be simply added:

a × 10n + b × 10n = (a + b) × 10n

Example:

1.5 × 103 + 3.25 × 103 = 4.75 × 103

Scientific Notation Calculator Subtraction

Scientific notation subtraction requires the same exponents for both terms; thus that the significands can be simply subtracted:

a × 10n – b × 10n = (a – b) × 10n

Example:

4 × 106 – 2 × 106 = 2 × 106

Our exponential notation calculator can be found here.

FAQs

Click on the question which is of interest to you to see the collapsible content answer.

What are the scientific notation’s parts?

The scientific notation format consists of the coefficient (followed by the multiplication symbol). Next is the base and index.

What is the difference between a calculator and a scientific calculator?

The term “scientific calculator” often means a calculator like the one of your Windows switched from standard mode to scientific mode to calculate logarithms, trigonometric functions, square roots etc.

How to multiply and divide scientific notation?

Employ the laws of exponents.

Can scientific notation be a source of error in measurement?

Yes, if not enough significant figures are used.

What is the meaning of e on a calculator?

E on a calculator stands for exponent or exponent button.

What is the difference between scientific and engineering notation?

Engineering notation is a special form of scientific notation in which the integer exponent must be divisible by three zeros. E.g. 3 for thousand, 6 for million, 9 for billion etc.


We also have students practice: scientific notation practice. Or would you rather take our quiz with questions in the context of this site?

In the next part you can find our compilation of frequent decimal form to scientific form conversions.

Frequent Scientific Notation Examples

The following table contains frequent conversions from standard form to scientific:
Decimal ValueScientific Notation
0.000022 × 10-5
0.000033 × 10-5
0.000055 × 10-5
0.00011 × 10-4
0.00033 × 10-4
0.000383.8 × 10-4
0.00055 × 10-4
0.000636.3 × 10-4
0.00088 × 10-4
0.0011 × 10-3
0.001251.25 × 10-3
0.00232.3 × 10-3
0.00242.4 × 10-3
0.00262.6 × 10-3
0.00424.2 × 10-3
0.00454.5 × 10-3
0.00484.8 × 10-3
0.0055 × 10-3
0.00535.3 × 10-3
0.0088 × 10-3
0.00828.2 × 10-3
0.00969.6 × 10-3
0.030543.054 × 10-2
0.121.2 × 10-1
11 × 100
1.0241.024 × 100
22 × 100
2.52.5 × 100
33 × 100
3.33.3 × 100
44 × 100
4.84.8 × 100
55 × 100
5.755.75 × 100
66 × 100
6.00126.0012 × 100
6.0236.023 × 100
6.76.7 × 100
77 × 100
7.00427.0042 × 100
7.857.85 × 100
88 × 100
99 × 100
9.039.03 × 100
101 × 101
121.2 × 101
191.9 × 101
242.4 × 101
313.1 × 101
34.2163.4216 × 101
454.5 × 101
45.014.501 × 101
525.2 × 101
606 × 101
787.8 × 101
848.4 × 101
909 × 101
939.3 × 101
989.8 × 101
1001 × 102
1571.57 × 102
170.041.7004 × 102
1791.79 × 102
2302.3 × 102
2342.34 × 102
2502.5 × 102
3043.04 × 102
4004 × 102
4274.27 × 102
5005 × 102
5435.43 × 102
6046.04 × 102
6256.25 × 102
673.56.735 × 102
7007 × 102
7637.63 × 102
783.47.834 × 102
785.17.851 × 102
8008 × 102
8168.16 × 102
9009 × 102
9239.23 × 102
1,0001 × 103
1,2001.2 × 103
2,0002 × 103
2,000.822.00082 × 103
2,0122.012 × 103
2,5002.5 × 103
3,0003 × 103
3,2563.256 × 103
3,4273.427 × 103
5,0005 × 103
5,0085.008 × 103
5,666.65.6666 × 103
6,0006 × 103
6,725.726.72572 × 103
8,0008 × 103
8,0088.008 × 103
9,0009 × 103
10,0001 × 104
25,0002.5 × 104
30,0003 × 104
40,0004 × 104
45,0004.5 × 104
46,9594.6959 × 104
65,0006.5 × 104
71,1037.1103 × 104
72,0007.2 × 104
80,1098.0109 × 104
86,5008.65 × 104
86,9408.694 × 104
89,0008.9 × 104
275,0002.75 × 105
380,0003.8 × 105
500,0005 × 105
908,1109.0811 × 105
31,571,0123.1571012 × 107
As you can see, very big and very small numbers are easier to read in the right column, without the need to count any string of zeroes.

They have been transformed into a simpler form.

Summary

As you have learned, our calculator tool is a kind of Swiss Military knife built around scientific notation:

From scientific e notation to decimal notation calculator – it does it all.

The basic difference to an exponent calculator is that the base is always 10.

To learn all about scientific notation visit our home page.

We wrap our scientific notation conversion calculator up with his image:



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