WHAT IS EXPONENTIAL NOTATION?
Scientific notation is an exponential notation for writing numbers. Here are some examples:
Instead of writing 3,300 you can write it as 3.3 x 103 in scientific notation
Similarly, 0.0457 can be written as 4.57 x 10-2 in scientific notation
These usually are written in a standard form having just one digit on the left of the decimal point and adjusting that power of 10 to give the number its desired magnitude. (That power of ten is the exponent.)
If the number is negative, the negative sign goes in front of the number,
e.g., -416.25 would be written as -4.1625 x 102
When adding or subtracting in your head, it's often easier (and safer) to first convert the numbers back to decimal numbers, perform the operation, then convert the answer back to scientific notation.
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Scientific notation is an exponential notation for writing numbers. Here are some examples:
Instead of writing 3,300 you can write it as 3.3 x 103 in scientific notation
Similarly, 0.0457 can be written as 4.57 x 10-2 in scientific notation
These usually are written in a standard form having just one digit on the left of the decimal point and adjusting that power of 10 to give the number its desired magnitude. (That power of ten is the exponent.)
If the number is negative, the negative sign goes in front of the number,
e.g., -416.25 would be written as -4.1625 x 102
When adding or subtracting in your head, it's often easier (and safer) to first convert the numbers back to decimal numbers, perform the operation, then convert the answer back to scientific notation.
.