Real number to scientific notation calculator
Type in a value in decimal or 'e' notation
Examples: 1.67, 0.01, -0.00001602, 1e10, 1.380649e-23. etc.
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Detailed answer
How do you express a number in scientific notation?
A scientific notation is a way to represent very large or very small numbers concisely, where a number is written in the form of power of 10, following the formula below:
m × 10n
Where:
- m, the mantissa, must be between 0 and 9.999 ...
- n, the exponent, is a positive or a negative integer, including 0
To convert any number to scientific notation, we must follow these two rules:
- The decimal will be shifted to the left whenever the given number is 10 or greater and the power of 10 is positive.
- The decimal will be shifted to the right whenever the given number is smaller than 1 and the power of 10 is negative.
Let's learn through examples:
Example 1: How do you express 0.0005 in scientific notation?
This number 0.0005 can be written as 0.0005 × 100 in powers of 10.
So, according to the first rule, to convert 0.0005 × 100 to scientific notation, we will shift the decimal to right and multiply with negative powers of 10 until the number comes between 1 and 10.
Thus, the scientific notation for 0.0005 is 5 × 10-4
Example 2: How do you write 427,000 in scientific notation?
This number 427000 can be written as 427000 × 100 in powers of 10.
So, according to the first rule, to convert 427000 × 100 into scientific notation, we will shift the decimal to right and multiply with positive powers of 10 until the number comes between 1 and 10.
So, the scientific notation for 427000 is 4.27000 × 10-4
More Examples Chart
0.005 in scientific notation | 5 × 10-3 | 5e-3 |
100 in scientific notation | 1.00 × 102 | 1.00e100 |
427 thousand in scientific notation | 4.27 × 105 | 427 × 103 |
0.001 in scientific notation | 1 × 10-2 | 10 × 10-3 |
1 trillion in scientific notation | 1 × 1012 | 1 × 1012 |
80,023 in scientific notation | 8.0023 × 104 | 80.023 × 103 |
0.1588 in scientific notation | 1.588 × 10-1 | 158.8 × 10-3 |
What is the difference written in scientific notation? 0.00067-2.3 * 10-5
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Gauthmathier7285
Grade 8 · 2021-05-26
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What is the difference written in scientific notation? What is the difference written in scientific notat - Gauthmath
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Gauthmathier8155
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