Standard form, also known as scientific notation, is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
It's particularly handy in fields like science and engineering where you deal with extremely large or tiny numbers.
The Structure of Standard Form
In standard form, a number is expressed as:
$$ a \times 10^n $$
where:
$a$ is a number, $1 \leq a < 10$.
$n$ is an integer.
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Note
Standard form
Standard form, also known as scientific notation, is a way of writing very large or very small numbers in a compact form. It is commonly used in science and engineering to make calculations easier.
a×10n is the general format, where:
a is a number between 1 and 10 (including 1 but not 10)
n is an integer that shows how many times to multiply (or divide) by 10
AnalogyThink of standard form like a shorthand for writing numbers, just like how we write "1k" for 1000.
DefinitionStandard FormA way of writing numbers as a product of a number between 1 and 10 and a power of 10.