Scientific Notation Calculator
Scientific notation writes a number as coefficient x 10^exponent, where the coefficient is at least 1 and less than 10.
Enter the number in ordinary form
Enter a large or small number and choose whether you want scientific notation or standard decimal notation. Scientific notation is useful when the number is awkward to write with many zeros.
Use this page for science, engineering, calculator displays and homework. If the problem has significant figure rules, keep the same number of meaningful digits unless instructed otherwise.
Reading coefficient and exponent
Scientific notation writes a value as a number from 1 up to but not including 10, multiplied by a power of 10. For example, 8.6 x 10^-4 means move the decimal four places left.
A positive exponent makes a large number. A negative exponent makes a small decimal. The exponent is about decimal movement, not about whether the value is positive or negative.
The leading number carries the significant digits. The power of 10 carries the scale. Keeping those two roles separate makes the notation much easier to read.
Scientific notation rule
Move the decimal point until one non zero digit remains to its left. Count how many places it moved. That count becomes the exponent. Moving left gives a positive exponent. Moving right gives a negative exponent.
To convert back to decimal notation, move the decimal according to the exponent. Fill empty places with zeros as needed.
Writing a large number
The number 0.00086 becomes 8.6 x 10^-4. The decimal moved four places to the right to make 8.6, so the exponent is negative 4.
The number 4,200,000 becomes 4.2 x 10^6. The decimal moved six places to the left, so the exponent is positive 6.
To check the answer, convert it back. If moving the decimal according to the exponent returns the original value, the notation is set up correctly.
Losing zeros and signs
The most common mistake is using the wrong exponent sign. Small decimals need negative exponents. Large numbers need positive exponents.
Another mistake is changing the significant digits while converting. Scientific notation changes format, not the measured precision. If the original number was 8.60, the trailing zero may matter.
People also confuse scientific notation with calculator error. A display like 3.2E6 usually means 3.2 x 10^6, not a broken result.
Scientific Notation Calculator FAQ
How do I convert a number to scientific notation?
Move the decimal until the leading number is at least 1 and less than 10. Count the places moved. That count becomes the power of 10.
For 52,000, move the decimal four places left. The result is 5.2 x 10^4.
Why is a small decimal a negative exponent?
A negative exponent means the decimal must move left when written in standard form. That creates a small number.
For example, 8.6 x 10^-4 is 0.00086. The negative exponent tells you the value is less than 1.
A useful check is to ask whether the original number is tiny or huge. Tiny values should usually have negative powers of 10.
Why did my calculator show scientific notation automatically?
Many calculators switch to scientific notation when a number is very large or very small. It keeps the display readable and avoids a long string of zeros.
The value is not changed. Only the format changed.
Look for E notation as well. A display such as 6.02E23 means 6.02 x 10^23.
Is scientific notation the same as engineering notation?
No. Scientific notation uses one non zero digit before the decimal. Engineering notation uses exponents that are multiples of 3.
For example, 12.3 x 10^6 may be engineering notation, while 1.23 x 10^7 is scientific notation.
Do significant figures matter in scientific notation?
Yes. The digits in the leading number show the significant figures. 1.2 x 10^4 and 1.20 x 10^4 have different precision.
Keep trailing zeros when they communicate measured precision.
This matters in science classes and lab work. The notation should preserve the precision of the original measurement, not just the approximate size.
How can I check a scientific notation answer?
Convert it back to ordinary decimal form. Move the decimal point according to the exponent and compare the result with the original number.
Also check that the leading number is at least 1 and less than 10. If it is 12.5, the answer may be engineering notation or unfinished scientific notation.