Scientific Notation Rules Flashcards

Question 1

What is scientific notation (standard form) for a number?

Accepted Answer

A number written as $a	imes 10^n$, where $1\le |a|<10$ and $n$ is an integer.

Question 2

How do you convert a number between 0 and 1 into scientific notation?

Accepted Answer

Move the decimal right until the coefficient is between 1 and 10; the number of places moved right is the negative exponent $n$ in $a	imes10^n$.

Question 3

How do you compare two positive numbers in scientific notation, $a	imes10^m$ and $b	imes10^n$?

Accepted Answer

If $m
e n$, the number with the larger exponent is larger. If $m=n$, compare coefficients $a$ and $b$.

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